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Journal articles on the topic 'Long-range interacting systems'

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Author: Grafiati

Published: 11 March 2023

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1

Gupta, Shamik, and David Mukamel. "Relaxation dynamics of stochastic long-range interacting systems." Journal of Statistical Mechanics: Theory and Experiment 2010, no. 08 (August 26, 2010): P08026. http://dx.doi.org/10.1088/1742-5468/2010/08/p08026.

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2

Sasaki, Munetaka, and Fumitaka Matsubara. "Stochastic Cutoff Method for Long-Range Interacting Systems." Journal of the Physical Society of Japan 77, no. 2 (February 15, 2008): 024004. http://dx.doi.org/10.1143/jpsj.77.024004.

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3

Bernard, D., M. Gaudin, F. D. M. Haldane, and V. Pasquier. "Yang-Baxter equation in long-range interacting systems." Journal of Physics A: Mathematical and General 26, no. 20 (October 21, 1993): 5219–36. http://dx.doi.org/10.1088/0305-4470/26/20/010.

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4

Endo, Eishin, Yuta Toga, and Munetaka Sasaki. "Parallelized Stochastic Cutoff Method for Long-Range Interacting Systems." Journal of the Physical Society of Japan 84, no. 7 (July 15, 2015): 074002. http://dx.doi.org/10.7566/jpsj.84.074002.

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5

Tatekawa, Takayuki. "Phase transition in d-dimensional long-range interacting systems." Computer Physics Communications 177, no. 1-2 (July 2007): 190. http://dx.doi.org/10.1016/j.cpc.2007.02.017.

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6

Nota, Alessia, Juan Velázquez, and Raphael Winter. "Interacting particle systems with long-range interactions: scaling limits and kinetic equations." Rendiconti Lincei - Matematica e Applicazioni 32, no. 2 (July 14, 2021): 335–77. http://dx.doi.org/10.4171/rlm/939.

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7

Defenu, Nicolò. "Metastability and discrete spectrum of long-range systems." Proceedings of the National Academy of Sciences 118, no. 30 (July 23, 2021): e2101785118. http://dx.doi.org/10.1073/pnas.2101785118.

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Long-lived quasi-stationary states (QSSs) are a signature characteristic of long-range interacting systems both in the classical and in the quantum realms. Often, they emerge after a sudden quench of the Hamiltonian internal parameters and present a macroscopic lifetime, which increases with the system size. Despite their ubiquity, the fundamental mechanism at their root remains unknown. Here, we show that the spectrum of systems with power-law decaying couplings remains discrete up to the thermodynamic limit. As a consequence, several traditional results on the chaotic nature of the spectrum in many-body quantum systems are not satisfied in the presence of long-range interactions. In particular, the existence of QSSs may be traced back to the finiteness of Poincaré recurrence times. This picture justifies and extends known results on the anomalous magnetization dynamics in the quantum Ising model with power-law decaying couplings. The comparison between the discrete spectrum of long-range systems and more conventional examples of pure point spectra in the disordered case is also discussed.

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8

Gupta, Shamik, Thierry Dauxois, and Stefano Ruffo. "Out-of-equilibrium fluctuations in stochastic long-range interacting systems." EPL (Europhysics Letters) 113, no. 6 (March 1, 2016): 60008. http://dx.doi.org/10.1209/0295-5075/113/60008.

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9

Yao, Zhenwei. "Dynamical effects of long-range interaction revealed in screened Coulomb interacting ring systems." EPL (Europhysics Letters) 133, no. 5 (March 1, 2021): 54002. http://dx.doi.org/10.1209/0295-5075/133/54002.

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10

Rocha Filho, Tarcísio M. "Molecular dynamics for long-range interacting systems on graphic processing units." Computer Physics Communications 185, no. 5 (May 2014): 1364–69. http://dx.doi.org/10.1016/j.cpc.2014.01.008.

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11

BALLESTEROS, ANGEL. "SYMMETRY, INTEGRABILITY AND DEFORMATIONS OF LONG-RANGE INTERACTING HAMILTONIANS." International Journal of Modern Physics B 13, no. 24n25 (October 10, 1999): 2903–8. http://dx.doi.org/10.1142/s0217979299002721.

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The notion of coalgebra symmetry in Hamiltonian systems is analysed. It is shown how the complete integrability of some long-range interacting Hamiltonians can be extracted from their associated coalgebra structure with no use of a quantum R-matrix. Within this framework, integrable deformations can be considered as direct consequences of the introduction of coalgebra deformations (quantum algebras). As an example, the Gaudin magnet is derived from a sl(2) coalgebra, and a completely integrable deformation of this Hamiltonian is obtained through a twisted gl(2) quantum algebra.

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12

CANNAS, SERGIO A., CINTIA M. LAPILLI, and DANIEL A. STARIOLO. "TESTING BOUNDARY CONDITIONS EFFICIENCY IN SIMULATIONS OF LONG-RANGE INTERACTING MAGNETIC MODELS." International Journal of Modern Physics C 15, no. 01 (January 2004): 115–27. http://dx.doi.org/10.1142/s0129183104005553.

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Periodic boundary conditions have no unique implementation in magnetic systems where all spins interact with each other through a power law decaying interaction of the form 1/rα, r being the distance between spins. In this work we present a comparative study of the finite size effects oberved in numerical simulations by using first image and infinite image periodic boundary conditions in one- and two-dimensional spin systems with those interactions, including the ferromagnetic, anti-ferromagnetic and competitive interaction cases. Our results show no significative differences between the finite size effects produced by both boundary conditions when the low temperature phase has zero global magnetization, and it depends on the ratio α/d for systems with a low temperature ferromagnetic phase. In the last case the first image convention gives more stronger finite size effects than the other when the system enters into the classical regime α/d≤3/2.

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13

DI CINTIO, PIERFRANCESCO, and LUCA CIOTTI. "RELAXATION OF SPHERICAL SYSTEMS WITH LONG-RANGE INTERACTIONS: A NUMERICAL INVESTIGATION." International Journal of Bifurcation and Chaos 21, no. 08 (August 2011): 2279–83. http://dx.doi.org/10.1142/s021812741102977x.

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The process of relaxation of a system of particles interacting with long-range forces is relevant to many areas of physics. For obvious reasons, in Stellar Dynamics much attention has been paid to the case of r-2force law. However, recently the interest in alternative gravities has emerged, and significant differences with respect to Newtonian gravity have been found in relaxation phenomena. Here we begin to explore this matter further, by using a numerical model of spherical shells interacting with an r-αforce law obeying the superposition principle. We find that the virialization and phase-mixing times depend on the exponent α, with small values of α corresponding to longer relaxation times, similarly to what happens when comparing for N-body simulations in classical gravity and in Modified Newtonian Dynamics.

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14

CURILEF, SERGIO. "NONEXTENSIVE MICROSCOPIC BEHAVIOR OF LONG-RANGE INTERACTING PARTICLES IN PERIODIC MEDIA." International Journal of Modern Physics C 11, no. 03 (May 2000): 629–34. http://dx.doi.org/10.1142/s0129183100000547.

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This work presents a possible way to study the long-range interacting particles in finite-infinite (mesoscopic-macroscopic) systems with periodic boundary conditions. A symmetric lattice and their contributions over all space are used in the problem. In the present model, we assume that at long distances, the two-body attractive potential decays as a 1/rα law. We verified that the potential in any particle converges (diverges) when the interactions are short(long)-ranged. On the other hand, forces in any particle converge rapidly in all cases. However, we adopt a nonextensive scaling and we guarantee that the potential converges anywhere.

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15

Borgonovi, F., G. L. Celardo, and R. Trasarti-Battistoni. "The topological non-connectivity threshold in quantum long-range interacting spin systems." European Physical Journal B 50, no. 1-2 (February 8, 2006): 27–31. http://dx.doi.org/10.1140/epjb/e2006-00035-y.

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16

Nardini, Cesare, Shamik Gupta, Stefano Ruffo, Thierry Dauxois, and Freddy Bouchet. "Kinetic theory for non-equilibrium stationary states in long-range interacting systems." Journal of Statistical Mechanics: Theory and Experiment 2012, no. 01 (January 30, 2012): L01002. http://dx.doi.org/10.1088/1742-5468/2012/01/l01002.

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17

Gupta, Shamik, and Lapo Casetti. "Surprises from quenches in long-range-interacting systems: temperature inversion and cooling." New Journal of Physics 18, no. 10 (October 31, 2016): 103051. http://dx.doi.org/10.1088/1367-2630/18/10/103051.

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18

Leaw, Jia Ning, Ho-Kin Tang, Maxim Trushin, Fakher F. Assaad, and Shaffique Adam. "Universal Fermi-surface anisotropy renormalization for interacting Dirac fermions with long-range interactions." Proceedings of the National Academy of Sciences 116, no. 52 (December 9, 2019): 26431–34. http://dx.doi.org/10.1073/pnas.1913096116.

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Recent experimental [I. Joet al.,Phys. Rev. Lett.119, 016402 (2017)] and numerical [M. Ippoliti, S. D. Geraedts, R. N. Bhatt,Phys. Rev. B95, 201104 (2017)] evidence suggests an intriguing universal relationship between the Fermi surface anisotropy of the noninteracting parent 2-dimensional (2D) electron gas and the strongly correlated composite Fermi liquid formed in a strong magnetic field close to half-filling. Inspired by these observations, we explore more generally the question of anisotropy renormalization in interacting 2D Fermi systems. Using a recently developed [H. -K. Tanget al.,Science361, 570 (2018)] nonperturbative and numerically exact projective quantum Monte Carlo simulation as well as other numerical and analytic techniques, only for Dirac fermions with long-range Coulomb interactions do we find a universal square-root decrease of the Fermi-surface anisotropy. For theν=1/2composite Fermi liquid, this result is surprising since a Dirac fermion ground state was only recently proposed as an alternative to the usual Halperin–Lee–Read state. Our proposed universality can be tested in several anisotropic Dirac materials including graphene, topological insulators, organic conductors, and magic-angle twisted bilayer graphene.

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19

Joshi, M. K., F. Kranzl, A. Schuckert, I. Lovas, C. Maier, R. Blatt, M. Knap, and C. F. Roos. "Observing emergent hydrodynamics in a long-range quantum magnet." Science 376, no. 6594 (May 13, 2022): 720–24. http://dx.doi.org/10.1126/science.abk2400.

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Identifying universal properties of nonequilibrium quantum states is a major challenge in modern physics. A fascinating prediction is that classical hydrodynamics emerges universally in the evolution of any interacting quantum system. We experimentally probed the quantum dynamics of 51 individually controlled ions, realizing a long-range interacting spin chain. By measuring space-time–resolved correlation functions in an infinite temperature state, we observed a whole family of hydrodynamic universality classes, ranging from normal diffusion to anomalous superdiffusion, that are described by Lévy flights. We extracted the transport coefficients of the hydrodynamic theory, reflecting the microscopic properties of the system. Our observations demonstrate the potential for engineered quantum systems to provide key insights into universal properties of nonequilibrium states of quantum matter.

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20

Gupta, Shamik, and Stefano Ruffo. "The world of long-range interactions: A bird’s eye view." International Journal of Modern Physics A 32, no. 09 (March 23, 2017): 1741018. http://dx.doi.org/10.1142/s0217751x17410184.

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In recent years, studies of long-range interacting (LRI) systems have taken center stage in the arena of statistical mechanics and dynamical system studies, due to new theoretical developments involving tools from as diverse a field as kinetic theory, non-equilibrium statistical mechanics, and large deviation theory, but also due to new and exciting experimental realizations of LRI systems. In the first, introductory, Section 1, we discuss the general features of long-range interactions, emphasizing in particular the main physical phenomenon of non-additivity, which leads to a plethora of distinct effects, both thermodynamic and dynamic, that are not observed with short-range interactions: Ensemble inequivalence, slow relaxation, broken ergodicity. In Section 2, we discuss several physical systems with long-range interactions: mean-field spin systems, self-gravitating systems, Euler equations in two dimensions, Coulomb systems, one-component electron plasma, dipolar systems, free-electron lasers. In Section 3, we discuss the general scenario of dynamical evolution of generic LRI systems. In Section 4, we discuss an illustrative example of LRI systems, the Kardar–Nagel spin system, which involves discrete degrees of freedom, while in Section 5, we discuss a paradigmatic example involving continuous degrees of freedom, the so-called Hamiltonian mean-field (HMF) model. For the former, we demonstrate the effects of ensemble inequivalence and slow relaxation, while for the HMF model, we emphasize in particular the occurrence of the so-called quasistationary states (QSSs) during relaxation towards the Boltzmann–Gibbs equilibrium state. The QSSs are non-equilibrium states with lifetimes that diverge with the system size, so that in the thermodynamic limit, the systems remain trapped in the QSSs, thereby making the latter the effective stationary states. In Section 5, we also discuss an experimental system involving atoms trapped in optical cavities, which may be modelled by the HMF system. In Section 6, we address the issue of ubiquity of the quasistationary behavior by considering a variety of models and dynamics, discussing in each case the conditions to observe QSSs. In Section 7, we investigate the issue of what happens when a long-range system is driven out of thermal equilibrium. Conclusions are drawn in Section 8.

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21

Plastino, Angel, and Roseli Wedemann. "Nonlinear Fokker–Planck Equation Approach to Systems of Interacting Particles: Thermostatistical Features Related to the Range of the Interactions." Entropy 22, no. 2 (January 31, 2020): 163. http://dx.doi.org/10.3390/e22020163.

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Nonlinear Fokker–Planck equations (NLFPEs) constitute useful effective descriptions of some interacting many-body systems. Important instances of these nonlinear evolution equations are closely related to the thermostatistics based on the S q power-law entropic functionals. Most applications of the connection between the NLFPE and the S q entropies have focused on systems interacting through short-range forces. In the present contribution we re-visit the NLFPE approach to interacting systems in order to clarify the role played by the range of the interactions, and to explore the possibility of developing similar treatments for systems with long-range interactions, such as those corresponding to Newtonian gravitation. In particular, we consider a system of particles interacting via forces following the inverse square law and performing overdamped motion, that is described by a density obeying an integro-differential evolution equation that admits exact time-dependent solutions of the q-Gaussian form. These q-Gaussian solutions, which constitute a signature of S q -thermostatistics, evolve in a similar but not identical way to the solutions of an appropriate nonlinear, power-law Fokker–Planck equation.

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22

Komatsu, Nobuyoshi. "Time-Reversibility, Instability and Thermodynamics in N-body Systems Interacting with Long-Range Potentials." Procedia IUTAM 5 (2012): 151–59. http://dx.doi.org/10.1016/j.piutam.2012.06.019.

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23

Tsallis, Constantino, Andrea Rapisarda, Alessandro Pluchino, and Ernesto P. Borges. "On the non-Boltzmannian nature of quasi-stationary states in long-range interacting systems." Physica A: Statistical Mechanics and its Applications 381 (July 2007): 143–47. http://dx.doi.org/10.1016/j.physa.2007.04.030.

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24

Chavanis, Pierre-Henri. "Kinetic theory of long-range interacting systems with angle–action variables and collective effects." Physica A: Statistical Mechanics and its Applications 391, no. 14 (July 2012): 3680–701. http://dx.doi.org/10.1016/j.physa.2012.02.019.

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25

Mori, Takashi. "Microcanonical Analysis of Exactness of the Mean-Field Theory in Long-Range Interacting Systems." Journal of Statistical Physics 147, no. 5 (June 2012): 1020–40. http://dx.doi.org/10.1007/s10955-012-0511-0.

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26

Watanabe, Kazuya, and Munetaka Sasaki. "An Efficient Monte-Carlo Method for Calculating Free Energy in Long-Range Interacting Systems." Journal of the Physical Society of Japan 80, no. 9 (September 15, 2011): 093001. http://dx.doi.org/10.1143/jpsj.80.093001.

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27

Campa, Alessandro, Lapo Casetti, Pierfrancesco Di Cintio, Ivan Latella, J. Miguel Rubi, and Stefano Ruffo. "Modified Thirring model beyond the excluded-volume approximation." Journal of Statistical Mechanics: Theory and Experiment 2022, no. 10 (October 1, 2022): 103202. http://dx.doi.org/10.1088/1742-5468/ac9464.

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Abstract Long-range interacting systems may exhibit ensemble inequivalence and can possibly attain equilibrium states under completely open conditions, for which energy, volume and number of particles simultaneously fluctuate. Here we consider a modified version of the Thirring model for self-gravitating systems with attractive and repulsive long-range interactions in which particles are treated as hard spheres in dimension d = 1, 2, 3. Equilibrium states of the model are studied under completely open conditions, in the unconstrained ensemble, by means of both Monte Carlo simulations and analytical methods and are compared with the corresponding states at fixed number of particles, in the isothermal-isobaric ensemble. Our theoretical description is performed for an arbitrary local equation of state, which allows us to examine the system beyond the excluded-volume approximation. The simulations confirm the theoretical prediction of the possible occurrence of first-order phase transitions in the unconstrained ensemble. This work contributes to the understanding of long-range interacting systems exchanging heat, work and matter with the environment.

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28

MATSUI, TAKU. "MARKOV SEMIGROUPS ON UHF ALGEBRAS." Reviews in Mathematical Physics 05, no. 03 (September 1993): 587–600. http://dx.doi.org/10.1142/s0129055x93000176.

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We consider a class of Markov semigroups on UHF algebras. We establish the existence of dynamics for long range interactions. Our idea is a non-commutative extension of the argument for classical interacting particle systems. As a by-product we obtain sufficient conditions for unique ergodicity.

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29

Wagner, Caleb G., Michael F. Hagan, and Aparna Baskaran. "Steady states of active Brownian particles interacting with boundaries." Journal of Statistical Mechanics: Theory and Experiment 2022, no. 1 (January 1, 2022): 013208. http://dx.doi.org/10.1088/1742-5468/ac42cf.

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Abstract An active Brownian particle is a minimal model for a self-propelled colloid in a dissipative environment. Experiments and simulations show that, in the presence of boundaries and obstacles, active Brownian particle systems approach nontrivial nonequilibrium steady states with intriguing phenomenology, such as accumulation at boundaries, ratchet effects, and long-range depletion interactions. Nevertheless, theoretical analysis of these phenomena has proven difficult. Here, we address this theoretical challenge in the context of non-interacting particles in two dimensions, basing our analysis on the steady-state Smoluchowski equation for the one-particle distribution function. Our primary result is an approximation strategy that connects asymptotic solutions of the Smoluchowski equation to boundary conditions. We test this approximation against the exact analytic solution in a 2D planar geometry, as well as numerical solutions in circular and elliptic geometries. We find good agreement so long as the boundary conditions do not vary too rapidly with respect to the persistence length of particle trajectories. Our results are relevant for characterizing long-range flows and depletion interactions in such systems. In particular, our framework shows how such behaviors are connected to the breaking of detailed balance at the boundaries.

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30

Trasarti-Battistoni, R., F. Borgonovi, and G. L. Celardo. "The Topological Nonconnectivity Threshold and magnetic phase transitions in classical anisotropic long-range interacting spin systems." European Physical Journal B 50, no. 1-2 (February 20, 2006): 69–72. http://dx.doi.org/10.1140/epjb/e2006-00061-9.

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31

Staniscia, F., R. Bachelard, T. Dauxois, and G. De Ninno. "Differences in the scaling laws of canonical and microcanonical coarsening dynamics for long-range interacting systems." EPL (Europhysics Letters) 126, no. 1 (May 20, 2019): 17001. http://dx.doi.org/10.1209/0295-5075/126/17001.

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32

CARRILLO, J. A., Y. HUANG, and S. MARTIN. "Explicit flock solutions for Quasi-Morse potentials." European Journal of Applied Mathematics 25, no. 5 (April 15, 2014): 553–78. http://dx.doi.org/10.1017/s0956792514000126.

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We consider interacting particle systems and their mean-field limits, which are frequently used to model collective aggregation and are known to demonstrate a rich variety of pattern formations. The interaction is based on a pairwise potential combining short-range repulsion and long-range attraction. We study particular solutions, which are referred to as flocks in the second-order models, for the specific choice of the Quasi-Morse interaction potential. Our main result is a rigorous analysis of continuous, compactly supported flock profiles for the biologically relevant parameter regime. Existence and uniqueness are proven for three space dimensions, while existence is shown for the two-dimensional case. Furthermore, we numerically investigate additional Morse-like interactions to complete the understanding of this class of potentials.

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33

Coe, J. P., V. V. França, and I. D'Amico. "Feasibility of approximating spatial and local entanglement in long-range interacting systems using the extended Hubbard model." EPL (Europhysics Letters) 93, no. 1 (January 1, 2011): 10001. http://dx.doi.org/10.1209/0295-5075/93/10001.

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34

Molina, Anton, Shailabh Kumar, Stefan Karpitschka, and Manu Prakash. "Droplet tilings for rapid exploration of spatially constrained many-body systems." Proceedings of the National Academy of Sciences 118, no. 34 (August 20, 2021): e2020014118. http://dx.doi.org/10.1073/pnas.2020014118.

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Geometry in materials is a key concept which can determine material behavior in ordering, frustration, and fragmentation. More specifically, the behavior of interacting degrees of freedom subject to arbitrary geometric constraints has the potential to be used for engineering materials with exotic phase behavior. While advances in lithography have allowed for an experimental exploration of geometry on ordering that has no precedent in nature, many of these methods are low throughput or the underlying dynamics remain difficult to observe directly. Here, we introduce an experimental system that enables the study of interacting many-body dynamics by exploiting the physics of multidroplet evaporation subject to two-dimensional spatial constraints. We find that a high-energy initial state of this system settles into frustrated, metastable states with relaxation on two timescales. We understand this process using a minimal dynamical model that simulates the overdamped dynamics of motile droplets by identifying the force exerted on a given droplet as being proportional to the two-dimensional vapor gradients established by its neighbors. Finally, we demonstrate the flexibility of this platform by presenting experimental realizations of droplet−lattice systems representing different spin degrees of freedom and lattice geometries. Our platform enables a rapid and low-cost means to directly visualize dynamics associated with complex many-body systems interacting via long-range interactions. More generally, this platform opens up the rich design space between geometry and interactions for rapid exploration with minimal resources.

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35

TSALLIS, CONSTANTINO. "Nonextensive statistical mechanics: a brief review of its present status." Anais da Academia Brasileira de Ciências 74, no. 3 (September 2002): 393–414. http://dx.doi.org/10.1590/s0001-37652002000300003.

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We briefly review the present status of nonextensive statistical mechanics. We focus on (i) the central equations of the formalism, (ii) the most recent applications in physics and other sciences, (iii) the a priori determination (from microscopic dynamics) of the entropic index q for two important classes of physical systems, namely low-dimensional maps (both dissipative and conservative) and long-range interacting many-body hamiltonian classical systems.

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36

Hess, P. W., P. Becker, H. B. Kaplan, A. Kyprianidis, A. C. Lee, B. Neyenhuis, G. Pagano, et al. "Non-thermalization in trapped atomic ion spin chains." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 375, no. 2108 (October 30, 2017): 20170107. http://dx.doi.org/10.1098/rsta.2017.0107.

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Linear arrays of trapped and laser-cooled atomic ions are a versatile platform for studying strongly interacting many-body quantum systems. Effective spins are encoded in long-lived electronic levels of each ion and made to interact through laser-mediated optical dipole forces. The advantages of experiments with cold trapped ions, including high spatio-temporal resolution, decoupling from the external environment and control over the system Hamiltonian, are used to measure quantum effects not always accessible in natural condensed matter samples. In this review, we highlight recent work using trapped ions to explore a variety of non-ergodic phenomena in long-range interacting spin models, effects that are heralded by the memory of out-of-equilibrium initial conditions. We observe long-lived memory in static magnetizations for quenched many-body localization and prethermalization, while memory is preserved in the periodic oscillations of a driven discrete time crystal state. This article is part of the themed issue ‘Breakdown of ergodicity in quantum systems: from solids to synthetic matter’.

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37

Kinoshita, M., M. Harada, and A. Shioi. "Characteristics of solutions of the HNC equation applied to anion-cation systems interacting through a strong long-range Coulomb potential." Molecular Physics 70, no. 6 (August 20, 1990): 1121–34. http://dx.doi.org/10.1080/00268979000101571.

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38

Guttmann, Robin, Johannes Hoja, Christoph Lechner, Reinhard J. Maurer, and Alexander F. Sax. "Adhesion, forces and the stability of interfaces." Beilstein Journal of Organic Chemistry 15 (January 11, 2019): 106–29. http://dx.doi.org/10.3762/bjoc.15.12.

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Weak molecular interactions (WMI) are responsible for processes such as physisorption; they are essential for the structure and stability of interfaces, and for bulk properties of liquids and molecular crystals. The dispersion interaction is one of the four basic interactions types – electrostatics, induction, dispersion and exchange repulsion – of which all WMIs are composed. The fact that each class of basic interactions covers a wide range explains the large variety of WMIs. To some of them, special names are assigned, such as hydrogen bonding or hydrophobic interactions. In chemistry, these WMIs are frequently used as if they were basic interaction types. For a long time, dispersion was largely ignored in chemistry, attractive intermolecular interactions were nearly exclusively attributed to electrostatic interactions. We discuss the importance of dispersion interactions for the stabilization in systems that are traditionally explained in terms of the “special interactions” mentioned above. System stabilization can be explained by using interaction energies, or by attractive forces between the interacting subsystems; in the case of stabilizing WMIs, one frequently speaks of adhesion energies and adhesive forces. We show that the description of system stability using maximum adhesive forces and the description using adhesion energies are not equivalent. The systems discussed are polyaromatic molecules adsorbed to graphene and carbon nanotubes; dimers of alcohols and amines; cellulose crystals; and alcohols adsorbed onto cellulose surfaces.

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39

De, Amrit. "1/fNoise from Glauber Dynamics: Self-Consistent Interaction and Temperature Dependent Correlations." Advances in Condensed Matter Physics 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/607021.

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Low frequency flicker noise has been argued to occur in spatially extended metastable systems near a critical point (Bak et al., 1987). An Ising-Glauber model based method is suggested here to systematically obtain temperature dependentnth-order correlation functions forNarbitrary interacting two-level systems (TLSs). This model is fully consistent with existing methods to calculate1/fnoise spectra from TLSs and complements them. However, with as such noa prioriassumptions on the typical log normal distribution of fluctuation rates, it is shown that1/fαnoise manifests in two different cases: first in the thermodynamic limit on a 2D lattice with long range antiferromagnetic interactions at low temperatures and second in the case of a statistical ensemble of finite-sized spin clusters representing disorder, but where each cluster is ordered due to ferromagnetic interactions.

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40

Ranjkesh, A., M. Ambrožič, G. Cordoyiannis, Z. Kutnjak, and S. Kralj. "History-Dependent Patterns in Randomly Perturbed Nematic Liquid Crystals." Advances in Condensed Matter Physics 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/505219.

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We study the characteristics of nematic structures in a randomly perturbed nematic liquid crystal (LC) phase. We focus on the impact of the samples history on the universal behavior. The obtained results are of interest for every randomly perturbed system exhibiting a continuous symmetry-breaking phase transition. A semimicroscopic lattice simulation is used where the LC molecules are treated as cylindrically symmetric, rod-like objects interacting via a Lebwohl-Lasher (LL) interaction. Pure LC systems exhibit a first order phase transition into the orientationally ordered nematic phase atT=Tcon lowering the temperatureT. The orientational ordering of LC molecules is perturbed by the quenched, randomly distributed rod-likeimpuritiesof concentrationp. Their orientation is randomly distributed, and they are coupled with the LC molecules via an LL-type interaction. Only concentrations below the percolation threshold are considered. The key macroscopic characteristics of perturbed LC structures in the symmetry-broken nematic phase are analyzed for two qualitatively different histories atT≪Tc. We demonstrate that, for a weak enough interaction among the LC molecules andimpurities, qualitatively different history-dependent states could be obtained. These states could exhibit either short-range, quasi-long-range, or even long-range order.

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41

KHARE, AVINASH. "AN EXACTLY SOLVABLE MANY-BODY PROBLEM IN ONE DIMENSION." International Journal of Modern Physics B 14, no. 19n20 (August 10, 2000): 2101–8. http://dx.doi.org/10.1142/s0217979200001254.

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We obtain the exact ground state of N-particles in one dimension both on a line and on a circle in case the N particles are interacting via nearest and next-to-nearest neighbour interactions. Further, we establish a mapping between these N-body problems and short range Dyson models introduced recently to model intermediate spectral statistics. Using this mapping we compute one and two point functions of a related many-body theory in the thermodynamic limit and show the absence of long range order. Generalization of the model on the line to higher dimensions as well as to other root systems is also considered. Finally, we also consider a variant of the above model in two dimensions in which all the states exhibit novel correlations.

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42

Sugimoto, Shoki, Ryusuke Hamazaki, and Masahito Ueda. "Eigenstate Thermalization in Long-Range Interacting Systems." Physical Review Letters 129, no. 3 (July 14, 2022). http://dx.doi.org/10.1103/physrevlett.129.030602.

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43

Baldovin, Fulvio, and Enzo Orlandini. "Incomplete Equilibrium in Long-Range Interacting Systems." Physical Review Letters 97, no. 10 (September 5, 2006). http://dx.doi.org/10.1103/physrevlett.97.100601.

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44

Teles, Tarcísio N., Shamik Gupta, Pierfrancesco Di Cintio, and Lapo Casetti. "Temperature inversion in long-range interacting systems." Physical Review E 92, no. 2 (August 3, 2015). http://dx.doi.org/10.1103/physreve.92.020101.

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45

Kelly, Shane, Eddy Timmermans, Jamir Marino, and S. W. Tsai. "Stroboscopic aliasing in long-range interacting quantum systems." SciPost Physics Core 4, no. 3 (September 10, 2021). http://dx.doi.org/10.21468/scipostphyscore.4.3.021.

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We unveil a mechanism for generating oscillations with arbitrary multiplets of the period of a given external drive, in long-range interacting quantum many-particle spin systems. These oscillations break discrete time translation symmetry as in time crystals, but they are understood via two intertwined stroboscopic effects similar to the aliasing resulting from video taping a single fast rotating helicopter blade. The first effect is similar to a single blade appearing as multiple blades due to a frame rate that is in resonance with the frequency of the helicopter blades' rotation; the second is akin to the optical appearance of the helicopter blades moving in reverse direction. Analogously to other dynamically stabilized states in interacting quantum many-body systems, this stroboscopic aliasing is robust to detuning and excursions from a chosen set of driving parameters, and it offers a novel route for engineering dynamical n-tuplets in long-range quantum simulators, with potential applications to spin squeezing generation and entangled state preparation.

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46

Gong, Zhe-Xuan, Michael Foss-Feig, Fernando G. S. L. Brandão, and Alexey V. Gorshkov. "Entanglement Area Laws for Long-Range Interacting Systems." Physical Review Letters 119, no. 5 (July 31, 2017). http://dx.doi.org/10.1103/physrevlett.119.050501.

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47

Filho, T. M. Rocha, and B. Marcos. "Classical Goldstone modes in long-range interacting systems." Physical Review E 102, no. 3 (September 14, 2020). http://dx.doi.org/10.1103/physreve.102.032122.

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48

Latella, Ivan, Agustín Pérez-Madrid, Alessandro Campa, Lapo Casetti, and Stefano Ruffo. "Long-range interacting systems in the unconstrained ensemble." Physical Review E 95, no. 1 (January 23, 2017). http://dx.doi.org/10.1103/physreve.95.012140.

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49

Boccagna, Roberto. "Stationary currents in long-range interacting magnetic systems." Mathematical Physics, Analysis and Geometry 23, no. 3 (August 6, 2020). http://dx.doi.org/10.1007/s11040-020-09354-2.

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Abstract We construct a solution for the 1d integro-differential stationary equation derived from a finite-volume version of the mesoscopic model proposed in Giacomin and Lebowitz (J. Stat. Phys. 87(1), 37–61, 1997). This is the continuous limit of an Ising spin chain interacting at long range through Kac potentials, staying in contact at the two edges with reservoirs of fixed magnetizations. The stationary equation of the model is introduced here starting from the Lebowitz-Penrose free energy functional defined on the interval [−ε− 1, ε− 1], ε > 0. Below the critical temperature, and for ε small enough, we obtain a solution that is no longer monotone when opposite in sign, metastable boundary conditions are imposed. Moreover, the mesoscopic current flows along the magnetization gradient. This can be considered as an analytic proof of the existence of diffusion along the concentration gradient in one-component systems undergoing a phase transition, a phenomenon generally known as uphill diffusion. In our proof uniqueness is lacking, and we have clues that the stationary solution obtained is not unique, as suggested by numerical simulations.

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50

Kuwahara, Tomotaka, and Keiji Saito. "Area law of noncritical ground states in 1D long-range interacting systems." Nature Communications 11, no. 1 (September 8, 2020). http://dx.doi.org/10.1038/s41467-020-18055-x.

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Abstract The area law for entanglement provides one of the most important connections between information theory and quantum many-body physics. It is not only related to the universality of quantum phases, but also to efficient numerical simulations in the ground state. Various numerical observations have led to a strong belief that the area law is true for every non-critical phase in short-range interacting systems. However, the area law for long-range interacting systems is still elusive, as the long-range interaction results in correlation patterns similar to those in critical phases. Here, we show that for generic non-critical one-dimensional ground states with locally bounded Hamiltonians, the area law robustly holds without any corrections, even under long-range interactions. Our result guarantees an efficient description of ground states by the matrix-product state in experimentally relevant long-range systems, which justifies the density-matrix renormalization algorithm.

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