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Добірка наукової літератури з теми "Interacting particles systems"

Автор: Grafiati
Опубліковано: 2 листопада 2024

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Статті в журналах з теми "Interacting particles systems"

1

Karmanov, Vladimir A. "Abnormal Bound Systems." Universe 8, no. 2 (February 3, 2022): 95. http://dx.doi.org/10.3390/universe8020095.

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It is taken for granted that bound systems are made of massive constituents that interact through particle exchanges (charged particles interacting via photon exchanges, quarks in elementary particles interacting via gluon exchanges, and nucleons in nuclei interacting via meson exchanges). However, as was recently theoretically found, there exist systems dominated by exchange particles (at least for the zero exchange masses). In these systems, the contribution of massive constituents is negligible. These systems have a relativistic nature (since they are mainly made of massless particles moving at the speed of light), and therefore, they cannot be described by the Schrödinger equation. Though these results were found so far in the simple Wick–Cutkosky model (spinless constituents interacting via the ladder of spinless massless exchanges), the physical ground for their existence seems to be rather general.
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2

Abadi, Noam, and Franco Ruzzenenti. "Complex Networks and Interacting Particle Systems." Entropy 25, no. 11 (October 27, 2023): 1490. http://dx.doi.org/10.3390/e25111490.

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Complex networks is a growing discipline aimed at understanding large interacting systems. One of its goals is to establish a relation between the interactions of a system and the networks structure that emerges. Taking a Lennard-Jones particle system as an example, we show that when interactions are governed by a potential, the notion of structure given by the physical arrangement of the interacting particles can be interpreted as a binary approximation to the interaction potential. This approximation simplifies the calculation of the partition function of the system and allows to study the stability of the interaction structure. We compare simulated results with those from the approximated partition function and show how the network and system perspective complement each other. With this, we draw a direct connection between the interactions of a molecular system and the network structure it forms and assess the degree to which it describes the system. We conclude by discussing the advantages and limitations of this method for weighted networks, as well as how this concept might be extended to more general systems.
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3

Sudbury, Aidan. "The survival of various interacting particle systems." Advances in Applied Probability 25, no. 4 (December 1993): 1010–12. http://dx.doi.org/10.2307/1427804.

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Particles may be removed from a lattice by murder, coalescence, mutual annihilation and simple death. If the particle system is not to die out, the removed particles must be replaced by births. This letter shows that coalescence can be counteracted by arbitrarily small birth-rates and contrasts this with the situations for annihilation and pure death where there are critical phenomena. The problem is unresolved for murder.
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4

Sudbury, Aidan. "The survival of various interacting particle systems." Advances in Applied Probability 25, no. 04 (December 1993): 1010–12. http://dx.doi.org/10.1017/s0001867800025878.

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Анотація:
Particles may be removed from a lattice by murder, coalescence, mutual annihilation and simple death. If the particle system is not to die out, the removed particles must be replaced by births. This letter shows that coalescence can be counteracted by arbitrarily small birth-rates and contrasts this with the situations for annihilation and pure death where there are critical phenomena. The problem is unresolved for murder.
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5

Itoh, Yoshiaki, Colin Mallows, and Larry Shepp. "Explicit sufficient invariants for an interacting particle system." Journal of Applied Probability 35, no. 3 (September 1998): 633–41. http://dx.doi.org/10.1239/jap/1032265211.

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We introduce a new class of interacting particle systems on a graph G. Suppose initially there are Ni(0) particles at each vertex i of G, and that the particles interact to form a Markov chain: at each instant two particles are chosen at random, and if these are at adjacent vertices of G, one particle jumps to the other particle's vertex, each with probability 1/2. The process N enters a death state after a finite time when all the particles are in some independent subset of the vertices of G, i.e. a set of vertices with no edges between any two of them. The problem is to find the distribution of the death state, ηi = Ni(∞), as a function of Ni(0).We are able to obtain, for some special graphs, the limiting distribution of Ni if the total number of particles N → ∞ in such a way that the fraction, Ni(0)/S = ξi, at each vertex is held fixed as N → ∞. In particular we can obtain the limit law for the graph S2, the two-leaf star which has three vertices and two edges.
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6

Itoh, Yoshiaki, Colin Mallows, and Larry Shepp. "Explicit sufficient invariants for an interacting particle system." Journal of Applied Probability 35, no. 03 (September 1998): 633–41. http://dx.doi.org/10.1017/s0021900200016284.

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Анотація:
We introduce a new class of interacting particle systems on a graph G. Suppose initially there are N i (0) particles at each vertex i of G, and that the particles interact to form a Markov chain: at each instant two particles are chosen at random, and if these are at adjacent vertices of G, one particle jumps to the other particle's vertex, each with probability 1/2. The process N enters a death state after a finite time when all the particles are in some independent subset of the vertices of G, i.e. a set of vertices with no edges between any two of them. The problem is to find the distribution of the death state, η i = N i (∞), as a function of N i (0). We are able to obtain, for some special graphs, the limiting distribution of N i if the total number of particles N → ∞ in such a way that the fraction, N i (0)/S = ξ i , at each vertex is held fixed as N → ∞. In particular we can obtain the limit law for the graph S 2, the two-leaf star which has three vertices and two edges.
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7

METZNER, WALTER, and CLAUDIO CASTELLANI. "TWO PARTICLE CORRELATIONS AND ORTHOGONALITY CATASTROPHE IN INTERACTING FERMI SYSTEMS." International Journal of Modern Physics B 09, no. 16 (July 20, 1995): 1959–83. http://dx.doi.org/10.1142/s021797929500080x.

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Анотація:
The wave function of two fermions, repulsively interacting in the presence of a Fermi sea, is evaluated in detail. We consider large but finite systems in order to obtain an unambiguous picture of the two-particle correlations. As recently pointed out by Anderson, in d≤2 dimensions the particles may be correlated even when situated on the Fermi surface. The “partial exclusion principle” for two particles with opposite spin on the same Fermi point is discussed, and related to results from the T-matrix approximation. Particles on different Fermi points are shown to be uncorrelated in d>1. Using the results for the two-particle correlations we find that the orthogonality effect induced by adding an extra particle to a (tentative) two-dimensional Fermi liquid is finite.
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8

Morvan, A., T. I. Andersen, X. Mi, C. Neill, A. Petukhov, K. Kechedzhi, D. A. Abanin, et al. "Formation of robust bound states of interacting microwave photons." Nature 612, no. 7939 (December 7, 2022): 240–45. http://dx.doi.org/10.1038/s41586-022-05348-y.

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Анотація:
AbstractSystems of correlated particles appear in many fields of modern science and represent some of the most intractable computational problems in nature. The computational challenge in these systems arises when interactions become comparable to other energy scales, which makes the state of each particle depend on all other particles1. The lack of general solutions for the three-body problem and acceptable theory for strongly correlated electrons shows that our understanding of correlated systems fades when the particle number or the interaction strength increases. One of the hallmarks of interacting systems is the formation of multiparticle bound states2–9. Here we develop a high-fidelity parameterizable fSim gate and implement the periodic quantum circuit of the spin-½ XXZ model in a ring of 24 superconducting qubits. We study the propagation of these excitations and observe their bound nature for up to five photons. We devise a phase-sensitive method for constructing the few-body spectrum of the bound states and extract their pseudo-charge by introducing a synthetic flux. By introducing interactions between the ring and additional qubits, we observe an unexpected resilience of the bound states to integrability breaking. This finding goes against the idea that bound states in non-integrable systems are unstable when their energies overlap with the continuum spectrum. Our work provides experimental evidence for bound states of interacting photons and discovers their stability beyond the integrability limit.
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9

SKOROHOD, A. V. "Infinite systems of randomly interacting particles." Random Operators and Stochastic Equations 1, no. 1 (1993): 1–14. http://dx.doi.org/10.1515/rose.1993.1.1.1.

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10

Karwowski, Jacek, and Kamil Szewc. "Quasi-Exactly Solvable Models in Quantum Chemistry." Collection of Czechoslovak Chemical Communications 73, no. 10 (2008): 1372–90. http://dx.doi.org/10.1135/cccc20081372.

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Анотація:
A separable model of N interacting particles, in which disjoint pairs of particles interact by arbitrary two-particle potentials while the remaining interactions obey the Hooke law, is discussed from a perspective of its applications in quantum chemistry. In particular, properties of three- and four-particle Hookean systems modeling He-like atoms, H2+ and H2 molecules and many exotic systems are analyzed. The energy spectra and the structure of the wavefunctions of quasi-exactly solvable Schrödinger equations which result from this analysis are investigated in some detail.
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Дисертації з теми "Interacting particles systems"

1

Glass, K. "Dynamics of systems of interacting particles." Thesis, University of Cambridge, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.599435.

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Анотація:
In this thesis, we bring together three different problems in studying the equations where ui is a vector of length m, and β is a real parameter restricted to β ≥ -1. The N-body problem concerns N masses attracting one another according to a (1)/(r2) gravitational force. Much work has been done in finding central configurations of the N masses. If a system of masses released from a central configuration, it will remain similar to itself for all time, and can exhibit periodic behaviour.
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2

Franz, Benjamin. "Recent modelling frameworks for systems of interacting particles." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:ac76d159-4cdd-40c9-b378-6ea1faf48aed.

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In this thesis we study three different modelling frameworks for biological systems of dispersal and combinations thereof. The three frameworks involved are individual-based models, group-level models in the form of partial differential equations (PDEs) and robot swarms. In the first two chapters of the thesis, we present ways of coupling individual based models with PDEs in so-called hybrid models, with the aim of achieving improved performance of simulations. Two classes of such hybrid models are discussed that allow an efficient simulation of multi-species systems of dispersal with reactions, but involve individual resolution for certain species and in certain parts of a computational domain if desired. We generally consider two types of example systems: bacterial chemotaxis and reaction-diffusion systems, and present results in the respective application area as well as general methods. The third chapter of this thesis introduces swarm robotic experiments as an additional tool to study systems of dispersal. In general, those experiments can be used to mimic animal behaviour and to study the impact of local interactions on the group-level dynamics. We concentrate on a target finding problem for groups of robots. We present how PDE descriptions can be adjusted to incorporate the finite turning times observed in the robotic system and that the adjusted models match well with experimental data. In the fourth and last chapter, we consider interactions between robots in the form of hard-sphere collisions and again derive adjusted PDE descriptions. We show that collisions have a significant impact on the speed with which the group spreads across a domain. Throughout these two chapters, we apply a combination of experiments, individual-based simulations and PDE descriptions to improve our understanding of interactions in systems of dispersal.
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3

Romanovsky, Igor Alexandrovich. "Novel properties of interacting particles in small low-dimensional systems." Diss., Available online, Georgia Institute of Technology, 2006, 2006. http://etd.gatech.edu/theses/available/etd-07102006-041659/.

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Thesis (Ph. D.)--Physics, Georgia Institute of Technology, 2007.
Landman, Uzi, Committee Member ; Yannouleas, Constantine, Committee Member ; Bunimovich, Leonid, Committee Member ; Chou, Mei-Yin, Committee Member ; Pustilnik, Michael, Committee Member.
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4

Jacquot, Stéphanie Mireille. "Large systems of interacting particles : the Marcus-Lushnikov process and the β-Laguerre ensemble". Thesis, University of Cambridge, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.610327.

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5

Geiger, Benjamin [Verfasser], and Klaus [Akademischer Betreuer] Richter. "From few to many particles: Semiclassical approaches to interacting quantum systems / Benjamin Geiger ; Betreuer: Klaus Richter." Regensburg : Universitätsbibliothek Regensburg, 2020. http://d-nb.info/1215906064/34.

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6

Lafleche, Laurent. "Dynamique de systèmes à grand nombre de particules et systèmes dynamiques." Thesis, Paris Sciences et Lettres (ComUE), 2019. http://www.theses.fr/2019PSLED010.

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Анотація:
On étudie dans cette thèse le comportement en temps long de solutions d’équations aux dérivées partielles. Celles-ci modélisent des systèmes à grand nombre de particules dont la dynamique est due à des forces externes, internes et à l’interaction entre ces particules. Cependant, on considère différentes échelles. On voyage ainsi du niveau quantique des atomes au niveau macroscopique des étoiles, et l’on voit que des différences apparaissent bien que certaines propriétés soient conservées. Dans ce voyage, on croise le chemin de diverses applications telles que l’astrophysique, les plasmas,les semi-conducteurs, la biologie et l’économie. Ce travail est divisé en trois parties.Dans la première, on étudie le comportement semi-classique de l’équation de Hartree en mécanique quantique et sa limite vers l’équation de Vlasov. On quantifie uniformément en la constante de Planck des propriétés telles que la propagation des moments et de normes de Lebesgue à poids et la dispersion. On les utilise ensuite pour établir des estimées de stabilité entre les deux équations au moyen d’un analogue semi-classique des distances de Wasserstein. Dans la deuxième partie, on regarde le comportement en temps long d’équations cinétiques dont l’opérateur de collision est linéaire et a un équilibre local avec peu de moments, tel que l’opérateur de Fokker-Planck, sa version fractionnaire et un opérateur de Boltzmann linéaire. Deux principales techniques sont utilisées, l’une consistant à construire des entropies et la seconde à utiliser la positivité.Enfin, la dernière partie s’intéresse à des modèles macroscopiques inspirés de l’équation de Keller-Segel et l’on regarde les paramètres sous lesquels ce type de système s’effondre sur lui-même, se disperse ou se stabilise. Le premier effet se voit en introduisant des poids appropriés, le deuxième avec des distances de Wasserstein et le troisième au moyen des normes de Lebesgue
In this thesis, we study the behavior of solutions of partial differential equations that arise from the modeling of systems with a large number of particles. The dynamic of all these systems is driven by interaction between the particles and external and internal forces. However, we will consider different scales and travel from the quantum level of atoms to the macroscopic level of stars. We will see that differences emerge from the associated dynamics even though the main properties are conserved. In this journey, we will cross the path of various applications of these equations such as astrophysics, plasma, semi-conductors, biology, economy. This work is divided in three parts.In the first one, we study the semi classical behavior of the quantum Hartree equation and its limit to the kinetic Vlasov equation. Properties such as the propagation of moments and weighted Lebesgue norms and dispersive estimates are quantified uniformly in the Planck constant and used to establish stability estimates in a semiclassical analogue of the Wasserstein distance between the solutions of these two equations.In the second part, we investigate the long time behavior of macroscopic and kinetic models where the collision operatoris linear and has a heavy-tailed local equilibrium, such as the Fokker-Planck operator, the fractional Laplacian with a driftor a Linear Boltzmann operator. This let appear two main techniques, the entropy method and the positivity method.In the third part, we are interested in macroscopic models inspired from the Keller-Segel equation, and we study therange of parameters under which the system collapses, disperses or stabilizes. The first effect is studied using appropriate weights, the second using Wasserstein distances and the third using Lebesgue norms
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7

Gracar, Peter. "Random interacting particle systems." Thesis, University of Bath, 2018. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.761028.

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Consider the graph induced by Z^d, equipped with uniformly elliptic random conductances on the edges. At time 0, place a Poisson point process of particles on Z^d and let them perform independent simple random walks with jump probabilities proportional to the conductances. It is well known that without conductances (i.e., all conductances equal to 1), an infection started from the origin and transmitted between particles that share a site spreads in all directions with positive speed. We show that a local mixing result holds for random conductance graphs and prove the existence of a special percolation structure called the Lipschitz surface. Using this structure, we show that in the setup of particles on a uniformly elliptic graph, an infection also spreads with positive speed in any direction. We prove the robustness of the framework by extending the result to infection with recovery, where we show positive speed and that the infection survives indefinitely with positive probability.
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8

Deshayes, Aurélia. "Modèles de croissance aléatoire et théorèmes de forme asymptotique : les processus de contact." Thesis, Université de Lorraine, 2014. http://www.theses.fr/2014LORR0168/document.

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Cette thèse s'inscrit dans l'étude des systèmes de particules en interaction et plus précisément dans celle des modèles de croissance aléatoire qui représentent un quantité qui grandit au cours du temps et s'étend sur un réseau. Ce type de processus apparaît naturellement quand on regarde la croissance d'un cristal ou bien la propagation d'une épidémie. Cette dernière est bien modélisée par le processus de contact introduit en 1974 par Harris. Le processus de contact est un des plus simples systèmes de particules en interaction présentant une transition de phase et l'on connaît maintenant bien son comportement sur ses phases. De nombreuses questions ouvertes sur ses extensions, notamment celles de formes asymptotiques, ont motivé ce travail. Après la présentation de ce processus et de certaines de ses extensions, nous introduisons et étudions une nouvelle variante: le processus de contact avec vieillissement où les particules ont un âge qui influence leur capacité à donner naissance à leurs voisines. Nous effectuerons pour ce modèle un couplage avec une percolation orientée inspiré de celui de Bezuidenhout-Grimmett et nous montrerons la croissance d'ordre linéaire de ce processus. Dans la dernière partie de la thèse, nous nous intéressons à la preuve d'un théorème de forme asymptotique pour des modèles généraux de croissance aléatoire grâce à des techniques sous-Additives, parfois complexes à mettre en place à cause de la non 'survie presque sûre' de nos modèles. Nous en concluons en particulier que le processus de contact avec vieillissement, le processus de contact en environnement dynamique, la percolation orientée avec immigration hostile, et le processus de contact avec sensibilisation vérifient des résultats de forme asymptotique
This thesis is a contribution to the mathematical study of interacting particles systems which include random growth models representing a spreading shape over time in the cubic lattice. These processes are used to model the crystal growth or the spread of an infection. In particular, Harris introduced in 1974 the contact process to represent such a spread. It is one of the simplest interacting particles systems which exhibits a critical phenomenon and today, its behaviour is well-Known on each phase. Many questions about its extensions remain open and motivated our work, especially the one on the asymptotic shape. After the presentation of the contact process and its extensions, we introduce a new one: the contact process with aging where each particle has an age age that influences its ability to give birth to its neighbours. We build a coupling between our process and a supercritical oriented percolation adapted from Bezuidenhout-Grimmett's construction and we establish the 'at most linear' growth of our process. In the last part of this work, we prove an asymptotic shape theorem for general random growth models thanks to subadditive techniques, which can be complicated in the case of non-Permanent models conditioned to survive. We conclude that the process with aging, the contact process in randomly evolving environment, the oriented percolation with hostile immigration and the bounded modified contact process satisfy asymptotic shape results
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9

Wang, Hao Carleton University Dissertation Mathematics and Statistics. "Interacting branching particle systems and superprocesses." Ottawa, 1995.

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10

Deshayes, Aurélia. "Modèles de croissance aléatoire et théorèmes de forme asymptotique : les processus de contact." Electronic Thesis or Diss., Université de Lorraine, 2014. http://www.theses.fr/2014LORR0168.

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Анотація:
Cette thèse s'inscrit dans l'étude des systèmes de particules en interaction et plus précisément dans celle des modèles de croissance aléatoire qui représentent un quantité qui grandit au cours du temps et s'étend sur un réseau. Ce type de processus apparaît naturellement quand on regarde la croissance d'un cristal ou bien la propagation d'une épidémie. Cette dernière est bien modélisée par le processus de contact introduit en 1974 par Harris. Le processus de contact est un des plus simples systèmes de particules en interaction présentant une transition de phase et l'on connaît maintenant bien son comportement sur ses phases. De nombreuses questions ouvertes sur ses extensions, notamment celles de formes asymptotiques, ont motivé ce travail. Après la présentation de ce processus et de certaines de ses extensions, nous introduisons et étudions une nouvelle variante: le processus de contact avec vieillissement où les particules ont un âge qui influence leur capacité à donner naissance à leurs voisines. Nous effectuerons pour ce modèle un couplage avec une percolation orientée inspiré de celui de Bezuidenhout-Grimmett et nous montrerons la croissance d'ordre linéaire de ce processus. Dans la dernière partie de la thèse, nous nous intéressons à la preuve d'un théorème de forme asymptotique pour des modèles généraux de croissance aléatoire grâce à des techniques sous-Additives, parfois complexes à mettre en place à cause de la non 'survie presque sûre' de nos modèles. Nous en concluons en particulier que le processus de contact avec vieillissement, le processus de contact en environnement dynamique, la percolation orientée avec immigration hostile, et le processus de contact avec sensibilisation vérifient des résultats de forme asymptotique
This thesis is a contribution to the mathematical study of interacting particles systems which include random growth models representing a spreading shape over time in the cubic lattice. These processes are used to model the crystal growth or the spread of an infection. In particular, Harris introduced in 1974 the contact process to represent such a spread. It is one of the simplest interacting particles systems which exhibits a critical phenomenon and today, its behaviour is well-Known on each phase. Many questions about its extensions remain open and motivated our work, especially the one on the asymptotic shape. After the presentation of the contact process and its extensions, we introduce a new one: the contact process with aging where each particle has an age age that influences its ability to give birth to its neighbours. We build a coupling between our process and a supercritical oriented percolation adapted from Bezuidenhout-Grimmett's construction and we establish the 'at most linear' growth of our process. In the last part of this work, we prove an asymptotic shape theorem for general random growth models thanks to subadditive techniques, which can be complicated in the case of non-Permanent models conditioned to survive. We conclude that the process with aging, the contact process in randomly evolving environment, the oriented percolation with hostile immigration and the bounded modified contact process satisfy asymptotic shape results
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Книги з теми "Interacting particles systems"

1

Kipnis, Claude. Scaling limits of interacting particle systems. New York: Springer, 1999.

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2

Salabura, Piotr. Vector mesons in strongly interacting systems. Kraków: Wydawn. Uniwersytetu Jagiellońskiego, 2003.

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3

Liggett, Thomas M. Interacting particle systems. Berlin: Springer, 2005.

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4

Liggett, Thomas M. Interacting Particle Systems. New York, NY: Springer New York, 1985. http://dx.doi.org/10.1007/978-1-4613-8542-4.

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5

Liggett, Thomas M. Interacting Particle Systems. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/b138374.

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6

Liggett, Thomas M. Interacting Particle Systems. New York, NY: Springer New York, 1985.

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7

1938-, Arenhövel H., ed. Many body structure of strongly interacting systems: Refereed and selected contributions of the symposium "20 years of physics at the Mainz Microtron MAMI," Mainz, Germany, October 19-22, 2005. Bologna, Italy: Societá italiana di fisica, 2006.

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8

Kipnis, Claude, and Claudio Landim. Scaling Limits of Interacting Particle Systems. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03752-2.

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9

Papanicolaou, George, ed. Hydrodynamic Behavior and Interacting Particle Systems. New York, NY: Springer US, 1987. http://dx.doi.org/10.1007/978-1-4684-6347-7.

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10

George, Papanicolaou, and University of Minnesota. Institute for Mathematics and its Applications., eds. Hydrodynamic behavior and interacting particle systems. New York: Springer-Verlag, 1987.

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Частини книг з теми "Interacting particles systems"

1

Liverani, C. "Interacting Particles." In Hard Ball Systems and the Lorentz Gas, 179–216. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-04062-1_8.

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Nolting, Wolfgang, and William D. Brewer. "Systems of Interacting Particles." In Fundamentals of Many-body Physics, 197–311. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-71931-1_4.

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Nolting, Wolfgang. "Systems of Interacting Particles." In Theoretical Physics 9, 205–319. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-98326-4_4.

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Cichocki, B. "Interacting Brownian Particles." In Dynamics: Models and Kinetic Methods for Non-equilibrium Many Body Systems, 65–71. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4365-3_5.

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Skorohod, A. V. "Randomly Interacting Systems Of Particles." In Stochastic Equations for Complex Systems, 67–169. Dordrecht: Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-3767-3_2.

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6

Guo, M. Z., and G. Papanicolaou. "Bulk Diffusion for Interacting Brownian Particles." In Statistical Physics and Dynamical Systems, 41–48. Boston, MA: Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4899-6653-7_3.

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Mikhailov, Alexander S., and Gerhard Ertl. "Systems with Interacting Particles and Soft Matter." In Chemical Complexity, 159–80. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57377-9_11.

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Spohn, Herbert. "Interacting Brownian Particles: A Study of Dyson’s Model." In Hydrodynamic Behavior and Interacting Particle Systems, 151–79. New York, NY: Springer US, 1987. http://dx.doi.org/10.1007/978-1-4684-6347-7_13.

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Chaikin, P. M., W. D. Dozier, and H. M. Lindsay. "Experiments on Suspensions of Interacting Particles in Fluids." In Hydrodynamic Behavior and Interacting Particle Systems, 13–24. New York, NY: Springer US, 1987. http://dx.doi.org/10.1007/978-1-4684-6347-7_2.

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Sergeev, Y. A. "Nonlinear Concentration Waves in Fluidized Beds of Interacting Particles." In Mobile Particulate Systems, 233–48. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8518-7_15.

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Тези доповідей конференцій з теми "Interacting particles systems"

1

Izrailev, F. M. "Regular versus chaotic dynamics in closed systems of interacting Fermi particles." In NUCLEI AND MESOSCOPIC PHYSICS: Workshop on Nuclei and Mesoscopic Physics: WNMP 2004. AIP, 2005. http://dx.doi.org/10.1063/1.1996878.

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Herrera, Dianela, and Sergio Curilef. "Numerical study of a Vlasov equation for systems with interacting particles." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912388.

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Kim, Bongsoo, Kyozi Kawasaki, Michio Tokuyama, Irwin Oppenheim, and Hideya Nishiyama. "A FDR-Preserving Field Theory for Interacting Brownian Particles: One-Loop Theory and MCT." In COMPLEX SYSTEMS: 5th International Workshop on Complex Systems. AIP, 2008. http://dx.doi.org/10.1063/1.2897790.

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CARMONA, J. M., N. MICHEL, J. RICHERT, and P. WAGNER. "NUCLEAR FRAGMENTATION, PHASE TRANSITIONS AND THEIR CHARACTERIZATION IN FINITE SYSTEMS OF INTERACTING PARTICLES." In Proceedings of the Conference “Bologna 2000: Structure of the Nucleus at the Dawn of the Century”. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810939_0023.

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Briegel, Hans. "Entanglement in quantum many-body systems far away from thermodynamic equilibrium." In Workshop on Entanglement and Quantum Decoherence. Washington, D.C.: Optica Publishing Group, 2008. http://dx.doi.org/10.1364/weqd.2008.eoqs1.

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We show that quantum mechanical entanglement can prevail even in noisy open quantum many-body systems at high temperature and far away from thermodynamical equilibrium, despite the deteriorating effect of decoherence. The system consists of a number N of interacting quantum particles, and it can interact and exchange particles with some environment. The effect of decoherence is counteracted by a simple mechanism, where system particles are randomly reset to some standard initial state, e.g. by replacing them with particles from the environment.
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6

Izrailev, F. M. "Quantum-Classical Correspondence for Isolated Systems of Interacting Particles: Localization and Ergodicity in Energy Space." In Proceedings of Nobel Symposium 116. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811004_0014.

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7

Szamel, Grzegorz, Michio Tokuyama, Irwin Oppenheim, and Hideya Nishiyama. "Diagrammatic Approach to the Dynamics of Interacting Brownian Particles: Mode-Coupling Theory, Generalized Mode-Coupling Theory, and All That." In COMPLEX SYSTEMS: 5th International Workshop on Complex Systems. AIP, 2008. http://dx.doi.org/10.1063/1.2897869.

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8

Ozyer, Baris, Ismet Erkmen, and Aydan M. Erkmen. "Catching Continuum Between Preshape and Grasping Based on Fluidics." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24632.

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We propose a new fluidics based methodology to determine a continuum between preshaping and grasping so as to appropriately preshape a multifingered robot hand for creating an optimal initialization of grasp, with minimum energy loss towards task execution, upon landing on an object. In this paper, we investigate the effects of impact forces and momentum transfer between different hand preshapes landing on an object. Momentum transfer parameters lead to modification of object orientation and position at the very initial stage of task after that preshaped fingers land on the object. We model fingers as particles in a solidified environment while the medium squeezed by hand preshape that is closing upon an object, is modeled as a compressible fluid where momentum is propagated until hitting the surface of the solidified particle medium of the object. Smoothed particle hydrodynamics model (SPH) is used to simulate the general dynamic of fluid flows and momentum transfer between particles of different media. The fingers of the robotic hand are modeled by solidified fluid particles interacting with compressible surrounding fluids in which objects are defined as rigid-body solidified fluid particles. The developed model has been applied, in this paper, to the simulation of various simple robot hand preshaping and the generated momentum transfer profiles an object surface have been analyzed.
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9

Agarwal, Gaurav, Brian Lattimer, Srinath Ekkad, and Uri Vandsburger. "Grid-Zone Particle Hydrodynamics and Solid Circulation in a Multiple Jet Fluidized Bed." In ASME 2012 Fluids Engineering Division Summer Meeting collocated with the ASME 2012 Heat Transfer Summer Conference and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/fedsm2012-72066.

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Particle Image Velocimetry (PIV) and Digital Image Analysis (DIA) were used to investigate the evolution of multiple inlet gas jets located at the distributor base of a two-dimensional fluidized bed setup. Experiments were conducted with varying distributor orifice diameter, orifice pitch, particle density, particle diameter, and fluidization velocity to understand the motion of particles in the grid-zone region of a fluidized bed. Results were used to develop a phenomenological model that quantifies the conditions throughout the entire grid-zone. The results and the model were further analyzed to understand the effect of operating conditions on the solid circulation dynamics of a multiple jet system fluidized bed. It was determined that the solid circulation rate increased linearly with an increase in the fluidization velocity until the jet system transitioned from isolated to an interacting system. The solid circulation increased at a much lower rate in the interacting system of jets. This sudden change in the solid circulation rate has not been reported in the literature possibly due to the lack of multiple jet studies. For multiple jet systems, this phenomenon may indicate the presence of an optimum operating condition with high circulation rate and low air input in the bed.
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10

Navakas, Robertas, and Algis Džiugys. "A community detection method for network structure analysis of force chains in granular medium in a rotating drum." In The 13th international scientific conference “Modern Building Materials, Structures and Techniques”. Vilnius Gediminas Technical University, 2019. http://dx.doi.org/10.3846/mbmst.2019.079.

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We analyze the motion of granular matter in a partially filled drum rotating around the horizontal axis. The motion of granular medium is simulated using the discrete element model (DEM). As the drum rotates, the free surface sloping angle changes periodically as it attains the limit repose angle leading to an avalanche, after which its value is reduced to below the repose angle. Systems of this type are of interest from both theoretical and application viewpoints: similar setups are used in industry, such as rotary kilns and mixers; besides, dynamics of granular matter leads to macroscopic effects, such as segregation and emergence of patterns. Observable macroscopic effects depend largely on the underlying structure of force chains arising from pairwise mechanical contacts between the particles. Discrete element simulations produce the data for each individual particle: position, translational and rotational velocity, force vector between the interacting particle pairs. These data about the microscopic state must be processed to obtain the observable macroscopic states. Particle configurations at each time moment available from DEM simulations can be represented as graphs: each particle is represented as a graph vertex, the vertex pairs are connected by edges if the respective particle pairs are in contact, and the edge weights are proportional to the interaction force. After the graph for a particle state is created, the algorithms of the graph analysis can be applied to analyze the corresponding state of granular matter. Among such algorithms, we use the community detection algorithms to analyse the emergence of force groups among the particles, i.e., the groups of particles that have stronger mechanical forces among the particles in the group than the forces with particles that do not belong to the given group. Such groups are structures of larger scale than the usual force chains. Distribution of group sizes (number of particles belonging to the group) and their positions depend on the rotation velocities of the drum; in turn, they influence the variation of the repose angle and the process of the avalanches. We report the relations between the characteristics of the detected force groups and the observable effects in the granular matter obtained by DEM simulations.
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Звіти організацій з теми "Interacting particles systems"

1

Pullammanappallil, Pratap, Haim Kalman, and Jennifer Curtis. Investigation of particulate flow behavior in a continuous, high solids, leach-bed biogasification system. United States Department of Agriculture, January 2015. http://dx.doi.org/10.32747/2015.7600038.bard.

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Recent concerns regarding global warming and energy security have accelerated research and developmental efforts to produce biofuels from agricultural and forestry residues, and energy crops. Anaerobic digestion is a promising process for producing biogas-biofuel from biomass feedstocks. However, there is a need for new reactor designs and operating considerations to process fibrous biomass feedstocks. In this research project, the multiphase flow behavior of biomass particles was investigated. The objective was accomplished through both simulation and experimentation. The simulations included both particle-level and bulk flow simulations. Successful computational fluid dynamics (CFD) simulation of multiphase flow in the digester is dependent on the accuracy of constitutive models which describe (1) the particle phase stress due to particle interactions, (2) the particle phase dissipation due to inelastic interactions between particles and (3) the drag force between the fibres and the digester fluid. Discrete Element Method (DEM) simulations of Homogeneous Cooling Systems (HCS) were used to develop a particle phase dissipation rate model for non-spherical particle systems that was incorporated in a two-fluid CFDmultiphase flow model framework. Two types of frictionless, elongated particle models were compared in the HCS simulations: glued-sphere and true cylinder. A new model for drag for elongated fibres was developed which depends on Reynolds number, solids fraction, and fibre aspect ratio. Schulze shear test results could be used to calibrate particle-particle friction for DEM simulations. Several experimental measurements were taken for biomass particles like olive pulp, orange peels, wheat straw, semolina, and wheat grains. Using a compression tester, the breakage force, breakage energy, yield force, elastic stiffness and Young’s modulus were measured. Measurements were made in a shear tester to determine unconfined yield stress, major principal stress, effective angle of internal friction and internal friction angle. A liquid fludized bed system was used to determine critical velocity of fluidization for these materials. Transport measurements for pneumatic conveying were also assessed. Anaerobic digestion experiments were conducted using orange peel waste, olive pulp and wheat straw. Orange peel waste and olive pulp could be anaerobically digested to produce high methane yields. Wheat straw was not digestible. In a packed bed reactor, anaerobic digestion was not initiated above bulk densities of 100 kg/m³ for peel waste and 75 kg/m³ for olive pulp. Interestingly, after the digestion has been initiated and balanced methanogenesis established, the decomposing biomass could be packed to higher densities and successfully digested. These observations provided useful insights for high throughput reactor designs. Another outcome from this project was the development of low cost devices to measure methane content of biogas for off-line (US$37), field (US$50), and online (US$107) applications.
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2

Varadhan, S. R. Interacting Particle Systems and Their Scaling Limits. Fort Belvoir, VA: Defense Technical Information Center, March 1996. http://dx.doi.org/10.21236/ada308783.

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Zhang, Xingyu, Matteo Ciantia, Jonathan Knappett, and Anthony Leung. Micromechanical study of potential scale effects in small-scale modelling of sinker tree roots. University of Dundee, December 2021. http://dx.doi.org/10.20933/100001235.

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When testing an 1:N geotechnical structure in the centrifuge, it is desirable to choose a large scale factor (N) that can fit the small-scale model in a model container and avoid unwanted boundary effects, however, this in turn may cause scale effects when the structure is overscaled. This is more significant when it comes to small-scale modelling of sinker root-soil interaction, where root-particle size ratio is much lower. In this study the Distinct Element Method (DEM) is used to investigate this problem. The sinker root of a model root system under axial loading was analysed, with both upward and downward behaviour compared with the Finite Element Method (FEM), where the soil is modelled as a continuum in which case particle-size effects are not taken into consideration. Based on the scaling law, with the same prototype scale and particle size distribution, different scale factors/g-levels were applied to quantify effects of the ratio of root diameter (𝑑𝑟) to mean particle size (𝐷50) on the root rootsoil interaction.
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4

Anisimov, Petr Mikhaylovich. Quantum interaction of a few particle system mediated by photons. Office of Scientific and Technical Information (OSTI), April 2017. http://dx.doi.org/10.2172/1356103.

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Peter J. Mucha. Final Report: Model interacting particle systems for simulation and macroscopic description of particulate suspensions. Office of Scientific and Technical Information (OSTI), August 2007. http://dx.doi.org/10.2172/939459.

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6

Sviratcheva, K. D., and J. P. Draayer. Realistic Two-body Interactions in Many-nucleon Systems: Correlated Motion beyond Single-particle Behavior. Office of Scientific and Technical Information (OSTI), June 2006. http://dx.doi.org/10.2172/885281.

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7

Grabowski, Wojciech. Evolution of Precipitation Particle Size Distributions within MC3E Systems and its Impact on Aerosol-Cloud-Precipitation Interactions. Office of Scientific and Technical Information (OSTI), March 2016. http://dx.doi.org/10.2172/1244254.

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8

Chefetz, Benny, and Jon Chorover. Sorption and Mobility of Pharmaceutical Compounds in Soils Irrigated with Treated Wastewater. United States Department of Agriculture, 2006. http://dx.doi.org/10.32747/2006.7592117.bard.

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Research into the fate of pharmaceutical compounds (PCs) in the environment has focused on aspects of removal efficiency during sewage treatment, degradation in surface water and accumulation in soils and sediments. However, very little information is available on the binding interactions of pharmaceuticals with dissolved organic matter (DOM) originating from wastewater treatment. Such interactions can significantly affect the transport potential of PCs in soils by altering compound affinity for soil particle surfaces. Our primary hypothesis is that the transport potential of PCs in soils is strongly impacted by the type and strength of interaction with DOM and the stability of resulting DOM-PC complexes. The overarching goal of the proposed work is to develop a better understanding of the risk associated with introduction of PCs into the environment with treated wastewater. This goal has been achieved by elucidating the mechanisms of the interaction of selected pharmaceuticals (that have shown to be widespread wastewater contaminants) with DOM constituents; by determining the stability and fate of DOM-PC complexes introduced to soils and soil constituents; and by evaluating the potential uptake of these compounds by plants. Based on the results obtained in this study (column and batch sorption-desorption experiments), we suggest that PCs can be classified as slow-mobile compounds in SOM-rich soil layers. When these compounds pass this layer and/or are introduced into SOM-poor soils, their mobility increases significantly. Our data suggest that in semiarid soils (consisting of low SOM), PCs can potentially be transported to the groundwater in fields irrigated with reclaimed wastewater. Moreover, the higher mobility of the acid PCs (i.e., naproxen and diclofenac) in freshwater column systems suggests that their residues in soils irrigated with reclaimed wastewater can leach from the root zone and be transported to the groundwater after rain events. Our data obtained from the binding experiments of PCs with DOM demonstrate that the hydrophobic DOM fractions were more efficient at sorbing PCs than the more polar hydrophilic fractions at a pH near the pKa of the analytes. At the pH of natural semiarid water and soil systems, including that of reclaimed wastewater and biosolids, the role of the hydrophobic fractions as sorption domains is less important than the contribution of the hydrophilic fractions. We also hypothesize that the DOM fractions interact with each other at the molecular level and do not act as independent sorption domains. In summary, our data collected in the BARD project demonstrate that the sorption abilities of the DOM fractions can also significantly affect the mobility of pharmaceutical compounds in soils influenced by intensive irrigation with treated wastewater or amended with biosolids.
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9

Chefetz, Benny, and Jon Chorover. Sorption and Mobility of Pharmaceutical Compounds in Soils Irrigated with Treated Wastewater. United States Department of Agriculture, 2006. http://dx.doi.org/10.32747/2006.7709883.bard.

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Анотація:
Research into the fate of pharmaceutical compounds (PCs) in the environment has focused on aspects of removal efficiency during sewage treatment, degradation in surface water and accumulation in soils and sediments. However, very little information is available on the binding interactions of pharmaceuticals with dissolved organic matter (DOM) originating from wastewater treatment. Such interactions can significantly affect the transport potential of PCs in soils by altering compound affinity for soil particle surfaces. Our primary hypothesis is that the transport potential of PCs in soils is strongly impacted by the type and strength of interaction with DOM and the stability of resulting DOM-PC complexes. The overarching goal of the proposed work is to develop a better understanding of the risk associated with introduction of PCs into the environment with treated wastewater. This goal has been achieved by elucidating the mechanisms of the interaction of selected pharmaceuticals (that have shown to be widespread wastewater contaminants) with DOM constituents; by determining the stability and fate of DOM-PC complexes introduced to soils and soil constituents; and by evaluating the potential uptake of these compounds by plants. Based on the results obtained in this study (column and batch sorption-desorption experiments), we suggest that PCs can be classified as slow-mobile compounds in SOM-rich soil layers. When these compounds pass this layer and/or are introduced into SOM-poor soils, their mobility increases significantly. Our data suggest that in semiarid soils (consisting of low SOM), PCs can potentially be transported to the groundwater in fields irrigated with reclaimed wastewater. Moreover, the higher mobility of the acid PCs (i.e., naproxen and diclofenac) in freshwater column systems suggests that their residues in soils irrigated with reclaimed wastewater can leach from the root zone and be transported to the groundwater after rain events. Our data obtained from the binding experiments of PCs with DOM demonstrate that the hydrophobic DOM fractions were more efficient at sorbing PCs than the more polar hydrophilic fractions at a pH near the pKa of the analytes. At the pH of natural semiarid water and soil systems, including that of reclaimed wastewater and biosolids, the role of the hydrophobic fractions as sorption domains is less important than the contribution of the hydrophilic fractions. We also hypothesize that the DOM fractions interact with each other at the molecular level and do not act as independent sorption domains. In summary, our data collected in the BARD project demonstrate that the sorption abilities of the DOM fractions can also significantly affect the mobility of pharmaceutical compounds in soils influenced by intensive irrigation with treated wastewater or amended with biosolids.
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10

Kollias, Pavlos. Evolution of Precipitation Particle Size Distributions within MC3E Systems and its Impact on Aerosol-Cloud-Precipitation Interactions: Final Report. Office of Scientific and Technical Information (OSTI), August 2017. http://dx.doi.org/10.2172/1374165.

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