Relevant bibliographies by topics / Lattice gas system

Academic literature on the topic 'Lattice gas system'

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Published: 11 March 2023

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Journal articles on the topic "Lattice gas system"

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Yepez, Jeffrey. "Lattice-Gas Quantum Computation." International Journal of Modern Physics C 09, no. 08 (December 1998): 1587–96. http://dx.doi.org/10.1142/s0129183198001436.

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We present a quantum lattice-gas model for a quantum computer operating with continual wavefunction collapse; entanglement of the wavefunction occurs locally over small spatial regions between nearby qubits for only a short time period. The quantum lattice-gas is a noiseless method that directly models the lattice-gas particle dynamics at the mesoscopic scale. The system behaves like a viscous Navier–Stokes fluid. Numerical simulations indicate the viscosity of the quantum lattice-gas fluid is lower than its classical lattice-gas counterpart's.
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Fradkin, Eduardo. "Superfluidity of the Lattice Anyon Gas." International Journal of Modern Physics B 03, no. 12 (December 1989): 1965–95. http://dx.doi.org/10.1142/s0217979289001275.

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I consider a gas of “free” anyons with statistical paremeter δ on a two dimensional lattice. Using a recently derived Jordan-Wigner transformation, I map this problem onto a gas of fermions on a lattice coupled to a Chern-Simons gauge theory with coupling [Formula: see text]. I show that if [Formula: see text] and the density [Formula: see text], with r and q integers, the system is a superfluid. If q is even and the system is half filled the state may be either a superfluid or a Quantum Hall System depending on the dynamics. Similar conclusions apply for other values of ρ and δ. The dynamical stability of the Fetter-Hanna-Laughlin goldstone mode is insured by the topological invariance of the quantized Hall conductance of the fermion problem. This leads to the conclusion that anyon gases are generally superfluids or quantum Hall systems.
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SUDO, YASUSHI. "LATTICE GAS TIME DOMAIN METHODS FOR ACOUSTICS WITH REDUCED COMPUTER MEMORY REQUIREMENTS." Journal of Computational Acoustics 09, no. 04 (December 2001): 1239–58. http://dx.doi.org/10.1142/s0218396x0100053x.

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A lattice gas system consists of many particles, which move in a discrete space-time system according to a set of simple motion rules. Lattice gas time domain methods are based on lattice gas systems and have been widely applied to the simulation of complex systems, such as a Navier–Stokes fluid, a dissipation system, and sound propagation. Applying this idea to sound propagation, an excellent simulation model can be obtained, which has no error for one-dimensional system and has small error for multi-dimensional cases. Despite these good characteristics, the amount of computer memories required to perform the simulation depends on the sound speed and that could be extremely large for some sound speed cases. In this article, a new formulation of the lattice gas sound propagation model is explained, in which the memory requirements are independent of the sound speed and can be much smaller than those of the original formulation.
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RAMIREZ-PASTOR, ANTONIO J., FEDERICO J. ROMÁ, and JOSÉ L. RICCARDO. "CONFIGURATIONAL ENTROPY IN GENERALIZED LATTICE-GAS MODELS." International Journal of Modern Physics B 23, no. 22 (September 10, 2009): 4589–627. http://dx.doi.org/10.1142/s0217979209053308.

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In this review, we present our recent results concerning accurate calculations of configurational entropy in generalized lattice-gas models. The calculations are based on the use of the thermodynamic integration method. Different applications (or systems) have been considered. Namely, systems in presence of (i) anisotropy, (ii) energetic heterogeneity, (iii) geometric heterogeneity, and (iv) multisite-occupancy adsorption. Total energy is calculated by means of the Monte Carlo simulation. Then the entropy is obtained by using thermodynamic integration starting at a known reference state. In case (iv), the method relies upon the definition of an artificial Hamiltonian associated with the system of interest for which the entropy of a reference state can be exactly known. Thermodynamic integration is then applied to obtain the entropy in a given state of the system of interest. A rich variety of behaviors is found and analyzed in the context of the lattice-gas theory.
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Awazu, Akinori. "Complex transport phenomena in a simple lattice gas system." Physica A: Statistical Mechanics and its Applications 373 (January 2007): 425–32. http://dx.doi.org/10.1016/j.physa.2006.05.039.

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Wang, Yuanshi, Hong Wu, and Junhao Liang. "Dynamics of a lattice gas system of three species." Communications in Nonlinear Science and Numerical Simulation 39 (October 2016): 38–57. http://dx.doi.org/10.1016/j.cnsns.2016.02.027.

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Satulovsky, Javier E., and Tânia Tomé. "Stochastic lattice gas model for a predator-prey system." Physical Review E 49, no. 6 (June 1, 1994): 5073–79. http://dx.doi.org/10.1103/physreve.49.5073.

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Schmittmann, B. "CRITICAL BEHAVIOR OF THE DRIVEN DIFFUSIVE LATTICE GAS." International Journal of Modern Physics B 04, no. 15n16 (December 1990): 2269–306. http://dx.doi.org/10.1142/s0217979290001066.

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This paper reviews simulational and theoretical investigations of critical behavior in a stochastic, interacting lattice gas under the influence of a uniform external driving field. By studying this model system one wishes to gain a deeper understanding of steady states far from thermal equilibrium, and their dynamic universality classes. The major result in the case of attractive particle-particle interactions is the emergence of a novel non-equilibrium fixed point, different from the Wilson-Fisher fixed point of the equilibrium system. The fluctuations of internal energy, the structure factor and the two-point correlations all display surprising features associated with the non-equilibrium nature of the system. For repulsive interactions and small driving forces, one finds a continuous, Ising-like transition which turns first order for larger fields until it is completely destroyed.
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Wang, Yuanshi, and Hong Wu. "Population dynamics of intraguild predation in a lattice gas system." Mathematical Biosciences 259 (January 2015): 1–11. http://dx.doi.org/10.1016/j.mbs.2014.11.001.

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Szász, A. "The exact solution of the real square-lattice-gas system." physica status solidi (b) 140, no. 2 (April 1, 1987): 415–20. http://dx.doi.org/10.1002/pssb.2221400212.

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Dissertations / Theses on the topic "Lattice gas system"

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Rudzinsky, Michael Steven. "Theoretical and Simulation Studies of a Driven Diffusive System." Diss., Virginia Tech, 2000. http://hdl.handle.net/10919/26162.

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We explore steady-state properties of a driven lattice gas, which is a simple model of interacting many-particle systems, driven far from equilibrium by an external field. First, we study a system on a square lattice with periodic boundary conditions (PBC) along both principal lattice axes, while the drive acts along only one of these axes. For such systems, we analyze the full distribution of structure factors. Next, we investigate the effects of imposing other boundary conditions on the system. In particular, we focus on models with shifted periodic boundary conditions (SPBC) along one axis and open boundary conditions (OBC) along the other axis. The OBC allow us to have a steady flux of particles through the system while the SPBC permits us to drive the system in a range of possibilities. Using Monte Carlo simulation techniques, we discover a rich variety of phenomena, especially at low temperatures. A continuum theory for the densities, based on Langevin equations, is formulated and its predictions compared to simulation data. Many large scale properties are described successfully.
Ph. D.
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Mukhamadiarov, Ruslan Ilyich. "Controlling non-equilibrium dynamics in lattice gas models." Diss., Virginia Tech, 2021. http://hdl.handle.net/10919/102629.

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In recent years a new interesting research avenue has emerged in non-equilibrium statistical physics, namely studies of collective responses in spatially inhomogeneous systems. Whereas substantial progress has been made in understanding the origins and the often universal nature of cooperative behavior in systems far from equilibrium, it is still unclear whether it is possible to control their global collective stochastic dynamics through local manipulations. Therefore, a comprehensive characterization of spatially inhomogeneous non-equilibrium systems is required. In the first system, we explore a variant of the Katz–Lebowitz–Spohn (KLS) driven lattice gas in two dimensions, where the lattice is split into two regions that are coupled to heat baths with distinct temperatures T > Tc and Tc respectively, where Tc indicates the critical temperature for phase ordering. The geometry was arranged such that the temperature boundaries are oriented perpendicular or parallel to the external particle drive and resulting net current. For perpendicular orientation of the temperature boundaries, in the hotter region, the system behaves like the (totally) asymmetric exclusion processes (TASEP), and experiences particle blockage in front of the interface to the critical region. This blockage is induced by extended particle clusters, growing logarithmically with system size, in the critical region. We observe the density profiles in both high- and low-temperature subsystems to be similar to the well-characterized coexistence and maximal-current phases in (T)ASEP models with open boundary conditions, which are respectively governed by hyperbolic and trigonometric tangent functions. Yet if the lower temperature is set to Tc, we detect marked fluctuation corrections to the mean-field density profiles, e.g., the corresponding critical KLS power-law density decay near the interfaces into the cooler region. For parallel orientation of the temperature boundaries, we have explored the changes in the dynamical behavior of the hybrid KLS model that are induced by our choice of the hopping rates across the temperature boundaries. If these hopping rates at the interfaces satisfy particle-hole symmetry, the current difference across them generates a vector flow diagram akin to an infinite flat vortex sheet. We have studied the finite-size scaling of the particle density fluctuations in both temperature regions, and observed that it is controlled by the respective temperature values. If the colder subsystem is maintained at the KLS critical temperature, while the hotter subsystem's temperature is set much higher, the interface current greatly suppresses particle exchange between the two regions. As a result of the ensuing effective subsystem decoupling, strong fluctuations persist in the critical region, whence the particle density fluctuations scale with the KLS critical exponents. However, if both temperatures are set well above the critical temperature, the particle density fluctuations scale according to the totally asymmetric exclusion process. We have also measured the entropy production rate in both subsystems; it displays intriguing algebraic decay in the critical region, while it saturates quickly at a small but non-zero level in the hotter region. The second system is a lattice gas that simulates the spread of COVID-19 epidemics using the paradigmatic stochastic Susceptible-Infectious-Recovered (SIR) model. In our effort to control the spread of the infection of a lattice, we robustly find that the intensity and spatial spread on the epidemic recurrence wave can be limited to a manageable extent provided release of these restrictions is delayed sufficiently (for a duration of at least thrice the time until the peak of the unmitigated outbreak).
Doctor of Philosophy
In recent years a new interesting research avenue has emerged in far-from-equilibrium statistical physics, namely studies of collective behavior in spatially non-uniform systems. Whereas substantial progress has been made in understanding the origins and the often universal nature of cooperative behavior in systems far from equilibrium, it is still unclear whether it is possible to control their global collective and randomly determined dynamics through local manipulations. Therefore, a comprehensive characterization of spatially non-uniform systems out of equilibrium is required. In the first system, we explore a variant of the two-dimensional lattice gas with completely biased diffusion in one direction and attractive particle interactions. By lattice gas we mean a lattice filled with particles that can hop on nearest-neighbor empty sites. The system we are considering is a lattice that is split into two regions, which in turn are maintained at distinct temperatures T > Tc and Tc, respectively, with Tc indicating the critical temperature for the second-order phase transition. The geometry of the lattice was arranged such that the temperature boundaries are oriented perpendicular or parallel to the external particle drive that is responsible for a completely biased diffusion. When the temperature boundaries are oriented perpendicular to the drive, in the hotter region with temperature T > Tc, the system evolves as if there are no attractive interactions between the particles, and experiences particle blockage in front of the temperature boundary from the hotter region held at T>Tc to the critical region held at Tc. This accumulation of particles at the temperature boundary is induced by elongated collections of particle, i.e., particle clusters in the critical region. We observe the particle density profiles (density(x) vs x plots) in both high-and low-temperature subsystems to be similar to the density profiles found for other well-characterized (T)ASEP models with open boundary conditions, which are in the coexistence and maximal-current phases, and which are respectively governed by hyperbolic and trigonometric tangent functions. Yet if the lower temperature is set to Tc, we detect marked corrections to the hyperbolic and trigonometric tangent-like density profiles due to fluctuations, e.g., we observe the algebraic power-law decay of the density near the interfaces into the cooler region with the critical KLS exponent. For a parallel orientation of the temperature boundaries, we have explored the changes in the particle dynamics of the two-temperature KLS model that are induced by our choice of the particle hopping rates across the temperature boundaries. If these particle hopping rates at the temperature interfaces satisfy particle-hole symmetry (i.e. remain unchanged when particles are replaced with holes and vice versa), the particle current difference across them generates a current vector flow diagram akin to an infinite flat vortex sheet. We have studied how the particle density fluctuations in both temperature regions scale with the system size, and observed that the scaling is controlled by the respective temperature values. If the colder subsystem is maintained at the KLS critical temperature Tcold = Tc, while the hotter subsystem's temperature is set much higher Thot >> Tc, the particle currents at the interface greatly suppresses particle exchange between the two temperature regions. As a result of the ensuing effective subsystem separation from each other, strong fluctuations persist in the critical region, whence the particle density fluctuations scale with the KLS critical exponents. However, if both temperatures are set well above the critical temperature, the particle density fluctuations scale with different scaling exponents, that fall into the totally asymmetric exclusion process (TASEP) universality class. We have also measured the rate of the entropy production in both subsystems; it displays intriguing algebraic decay in the critical region, while it reaches quickly a small but non-zero value in the hotter region. The second system is a lattice filled with particles of different types that hop around the lattice and are subjected to different sorts of reactions. That process simulates the spread of the COVID-19 epidemic using the paradigmatic random-process-based Susceptible-Infectious-Recovered (SIR) model. In our effort to control the spread of the infection of a lattice, we robustly find that the intensity and spatial spread of the epidemic second wave can be limited to a manageable extent provided release of these restrictions is delayed sufficiently (for a duration of at least thrice the time until the peak of the unmitigated outbreak).
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Hickey, Joseph. "Beyond Classical Nucleation Theory: A 2-D Lattice-Gas Automata Model." Thèse, Université d'Ottawa / University of Ottawa, 2012. http://hdl.handle.net/10393/23147.

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Nucleation is the first step in the formation of a new phase in a thermodynamic system. The Classical Nucleation Theory (CNT) is the traditional theory used to describe this phenomenon. The object of this thesis is to investigate nucleation beyond one of the most significant limitations of the CNT: the assumption that the surface tension of a nucleating cluster of the new phase is independent of the cluster’s size and has the same value that it would have in the bulk of the new phase. In order to accomplish this, we consider a microscopic, two-dimensional Lattice Gas Automata (LGA) model of precipitate nucleation in a supersaturated system, with model input parameters Ess (solid particle-to-solid particle bonding energy), Esw (solid particle-to-water particle bonding energy), η (next-to-nearest neighbour bonding coeffiicent in solid phase), and Cin (initial solute concentration). The LGA method was chosen for its advantages of easy implementation, low memory requirements, and fast computation speed. Analytical results for the system’s concentration and the crystal radius as functions of time are derived and the former is fit to the simulation data in order to determine the system’s equilibrium concentration. A mean first-passage time (MFPT) technique is used to obtain the nucleation rate and critical nucleus size from the simulation data. The nucleation rate and supersaturation are evaluated using a modification to the CNT that incorporates a two-dimensional, radius-dependent surface tension term. The Tolman parameter, δ, which controls the radius-dependence of the surface tension, decreases (increases) as a function of the magnitude of Ess (Esw), at fixed values of η and Esw (Ess). On the other hand, δ increases as η increases while Ess and Esw are held constant. The constant surface tension term of the CNT, Σ0, increases (decreases) with increasing magnitudes of Ess (Esw) fixed values of Esw (Ess), and increases as η is increased. Together, these results indicate an increase in the radius-dependent surface tension, Σ, with respect to increasing magnitude of Ess relative to the magnitude of Esw. Σ0 increases linearly as a function of the change in energy during an attachment or detachment reaction, |ΔE|, however with a slope less than that predicted for a crystal that is uniformly packed at maximum density.
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SCOLA, GIUSEPPE. "Applications of Cluster Expansion." Doctoral thesis, Gran Sasso Science Institute, 2021. http://hdl.handle.net/20.500.12571/21994.

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The main topic of this thesis is the cluster expansion technique and its applica- tions to a variety of problems ranging from probability to physics and chemistry. The thesis is divided into a first part of relevant known results from the literature, and a second part where we present our contribution. We start by recalling some central aspects of the cluster expansion, and hence, general cluster expansion theorems in the grand-canonical and canonical ensem- bles and related results. Then, we present a classical problem in probability about computing large and moderate deviations as well as its formulation in statistical mechanics in the canonical/micro-canonical and the canonical/grand-canonical ensembles. We consider both the case of continuous - in R^d - and discrete - in Z^d - systems of interacting particles. In the second part, we present our results. First, we consider a system of classical particles confined in a box Λ ⊂ Rd with zero boundary conditions in- teracting via a stable and regular pair potential. Based on the validity of the cluster expansion for the canonical partition function in the high temperature - low density regime, we prove moderate and precise large deviations from the mean value of the number of particles with respect to the grand-canonical Gibbs measure. In this way we have a direct method of computing both the exponential rate as well as the pre-factor and obtain explicit error terms. Estimates compar- ing with the infinite volume versions of the above are also provided. Second, we show the validity of the cluster expansion in the canonical ensemble for the Ising model. We compare the lower bound of its radius of convergence with the one computed by the virial expansion working in the grand-canonical ensemble. Us- ing the cluster expansion we give direct proofs with quantification of the higher order error terms for the decay of correlations, and also in this case, for central limit theorem and large deviations. In the last part of the thesis, using a strategy given in the literature in the grand-canonical ensemble, we perform the cluster expansion for colloids in the canonical ensemble, considering periodic boundary conditions. The novelty consists in the fact that we establish a hierarchy in the order of integration, which allows to work with the effective system.
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Anderson, Mark Jule Jr. "Cooperative Behavior in Driven Lattice Systems with Shifted Periodic Boundary Conditions." Diss., Virginia Tech, 1998. http://hdl.handle.net/10919/30606.

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We explore the nature of driven stochastic lattice systems with non-periodic boundary conditions. The systems consist of particle and holes which move by exchanges of nearest neighbor particle-hole pairs. These exchanges are controlled by the energetics associated with an internal Hamiltonian, an external drive and a stochastic coupling to a heat reservoir. The effect of the drive is to bias particle-hole exchanges along the field in such a way that a particle current can be established. Hard-core volume constraints limit the occupation of only one particle (hole) per lattice site. For certain regimes of the overall particle density and temperature, a system displays a homogeneous disordered phase. We investigate cooperative behavior in this phase by using two-point spatial correlation functions and structure factors. By varying the particle density and the temperature, the system orders into a phase separated state, consisting of particle-rich and particle-poor regions. The temperature and density for the co-existence state depend on the boundary conditions. By using Monte Carlo simulations, we establish co-existence curves for systems with shifted periodic boundary conditions.
Ph. D.
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Kim, Kyung Hyuk. "Stochastic driven systems far from equilibrium /." Thesis, Connect to this title online; UW restricted, 2006. http://hdl.handle.net/1773/9719.

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Bull, Daniel James. "Static and dynamic correlation in lattice gas systems : an application to the intermetallic hydride ZrVâ‚‚Hx." Thesis, University of Salford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.272776.

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Hurley, Margaret M. "Analysis of the dipolar lattice gas as a model for self-assembly in 1 and 2-dimensional systems /." The Ohio State University, 1992. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487780393265179.

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Ha, Meesoon. "Scaling and phase transitions in one-dimensional nonequilibrium driven systems /." Thesis, Connect to this title online; UW restricted, 2003. http://hdl.handle.net/1773/9758.

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Li, Linjun. "Systems Driven out of Equilibrium with Energy Input at Interfaces or Boundaries." Diss., Virginia Tech, 2015. http://hdl.handle.net/10919/77884.

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We study the non-equilibrium behavior of systems that are driven out of equilibrium from the interface. In the first part of this thesis, we study a model of a two-dimensional lattice gas that is in contact with two heat baths that are at different temperatures. Performing Monte Carlo simulations, we find that there are three possible types of non-equilibrium steady states, depending on the values of certain system parameters. They include a disordered phase, a fully phase separated state, and an interesting state with striped patterns in the half of the lattice where the temperature is lower. The last one is a novel non-equilibrium steady state that we study systematically by varying the system parameters. To obtain the non-equilibrium finite-size phase diagram, we perform a spectrum analysis to classify not only the three major states, but also the sub-states of the striped phase. In the second part of the thesis, we study magnetic friction that results when two Potts systems move with respect to each other. In this research, we first study a model that consists of two interacting Potts blocks, where one block moves on top of the other. As a result, the system is driven out of equilibrium constantly. In our research we find for weak interfacial couplings that the contacting surfaces behave rather similar to a free surface. If the interfacial coupling is strong, however, anisotropic spin patterns appear on the contacting surfaces. This study is extended to a three-dimensional Potts wedge with a tip sliding along the surface of a Potts block. It is found that the shape of the Potts lattice influences the surface behavior of the system.
Ph. D.
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Books on the topic "Lattice gas system"

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D, Doolen Gary, ed. Lattice gas methods for partial differential equations: A volume of lattice gas reprints and articles, including selected papers from the workshop on large nonlinear systems, held August, 1987 in Los Alamos, New Mexico. Redwood City, Calif: Addison-Wesley, 1989.

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D, Doolen Gary, and Workshop on Large Nonlinear Systems (1987 : Los Alamos, N.M.), eds. Lattice gas methods for partial differential equations: A volume of lattice gas reprints and articles including selcted papers from the Workshop on Large Nonlinear Systems, held August 1987 in Los Alamos, New Mexico. Redwood City, Calif: Addison-Wesley, 1990.

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Chopard, Bastien. Cellular automata modeling of physical systems. Cambridge, [England]: Cambridge University Press, 1998.

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Cellular automata and modeling of complex physical systems: Proceedings of the winter school, Les Houches, France, February 21-28, 1989. Berlin: Springer-Verlag, 1989.

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Manneville, P., N. Boccara, and G. Y. Vichniac. Cellular Automata and Modeling of Complex Physical Systems: Proceedings of the Winter School, Les Houches, France, February 21-28, 1989 (Springer Proceedings in Physics). Springer, 1990.

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Droz, Michel, and Bastien Chopard. Cellular Automata Modeling of Physical Systems. Cambridge University Press, 2011.

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Droz, Michel, and Bastien Chopard. Cellular Automata Modeling of Physical Systems. Cambridge University Press, 2009.

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Cellular Automata Modeling of Physical Systems (Collection Alea-Saclay: Monographs and Texts in Statistical Physics). Cambridge University Press, 2005.

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Book chapters on the topic "Lattice gas system"

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Lemarchand, A., and M. Mareschal. "A Lattice-GAS Model for a Reaction-Diffusion System." In Computer Simulation in Materials Science, 259–72. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-1628-9_15.

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Pandey, R. B. "Non-Arrhenius Conductivity in a Driven System of Interacting Lattice Gas." In Springer Proceedings in Physics, 166–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-79293-9_14.

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Krug, Joachim, and Herbert Spohn. "Dynamical System Describing the Low Temperature Phase of a Driven Lattice Gas." In Nonlinear Evolution and Chaotic Phenomena, 255–67. Boston, MA: Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-1017-4_19.

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Kobori, Tomoyoshi, and Tsutomu Maruyama. "A High Speed Computation System for 3D FCHC Lattice Gas Model with FPGA." In Field Programmable Logic and Application, 755–65. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-45234-8_73.

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Deutsch, Andreas, Haralambos Hatzikirou, and Carsten Mente. "Lattice-Gas Cellular Automaton Models." In Encyclopedia of Systems Biology, 1106–8. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4419-9863-7_282.

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Tovbin, Yuriy K. "The Lattice-Gas Model in Microaero-Hydrodynamics Problems." In Continuum Models and Discrete Systems, 165–71. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-2316-3_27.

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Liccardo, A., and A. Fierro. "A Stochastic Lattice-Gas Model for Influenza Spreading." In Proceedings of the European Conference on Complex Systems 2012, 679–85. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00395-5_84.

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Ross, D. K., D. A. Faux, M. W. McKergow, D. L. T. Wilson, and S. K. Sinha. "Coherent Quasi-Elastic Scattering of Neutrons from Lattice Gas Systems." In Springer Proceedings in Physics, 116–20. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-71007-0_19.

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Hatzikirou, Haralambos, and Andreas Deutsch. "Lattice-Gas Cellular Automaton Modeling of Emergent Behavior in Interacting Cell Populations." In Understanding Complex Systems, 301–31. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12203-3_13.

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Oshanin, G., J. De Coninck, M. Moreau, and S. F. Burlatsky. "Phase boundary dynamics in a one-dimensional non-equilibrium lattice gas." In Nonlinear Phenomena and Complex Systems, 69–108. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-2149-7_4.

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Conference papers on the topic "Lattice gas system"

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Hsu, C. T., S. W. Chiang, and K. F. Sin. "A Novel Dynamics Lattice Boltzmann Method for Gas Flows." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-31237.

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The lattice Boltzmann method (LBM), where discrete velocities are specifically assigned to ensure that a particle leaves one lattice node always resides on another lattice node, has been developed for decades as a powerful numerical tool to solve the Boltzmann equation for gas flows. The efficient implementation of LBM requires that the discrete velocities be isotropic and that the lattice nodes be homogeneous. These requirements restrict the applications of the currently-used LBM schemes to incompressible and isothermal flows. Such restrictions defy the original physics of Boltzmann equation. Much effort has been devoted in the past decades to remove these restrictions, but of less success. In this paper, a novel dynamic lattice Boltzmann method (DLBM) that is free of the incompressible and isothermal restrictions is proposed and developed to simulate gas flows. This is achieved through a coordinate transformation featured with Galilean translation and thermal normalization. The transformation renders the normalized Maxwell equilibrium distribution with directional isotropy and spatial homogeneity for the accurate and efficient implementation of the Gaussian-Hermite quadrature. The transformed Boltzmann equation contains additional terms due to local convection and acceleration. The velocity quadrature points in the new coordinate system are fixed while the correspondent points in the physical space change from time to time and from position to position. By this dynamic quadrature nature in the physical space, we term this new scheme as the dynamic quadrature scheme. The lattice Boltzmann method (LBM) with the dynamic quadrature scheme is named as the dynamic lattice Boltzmann method (DLBM). The transformed Boltzmann equation is then solved in the new coordinate system based on the fixed quadrature points. Validations of the DLBM have been carried with several benchmark problems. Cavity flows problem are used. Excellent agreements are obtained as compared with those obtained from the conventional schemes. Up to date, the DLBM algorithm can run up to Mach number at 0.3 without suffering from numerical instability. The application of the DLBM to the Rayleigh-Bernard thermal instability problem is illustrated, where the onset of 2D vortex rolls and 3D hexagonal cells are well-predicted and are in excellent agreement with the theory. In summary, a novel dynamic lattice Boltzmann method (DLBM) has been proposed with algorithm developed for numerical simulation of gas flows. This new DLBM has been demonstrated to have removed the incompressible and isothermal restrictions encountered by the traditional LBM.
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Matsukuma, Yosuke, Masaki Minemoto, and Yutaka Abe. "Numerical Simulation of Flow Around Melting Object by Lattice Gas Automata Method." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45161.

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From the view point of effective use of energy resources and reduction of greenhouse gases, methane hydrate has received considerable attention as a promising alternative energy resource. It is important to study effective recovery system of the methane hydrate, since it exists on the seabed at a depth of more than 1000m. The hot water injection method has been proposed as a promising methane hydrate recovery system. In this method, hot water is injected into methane hydrate layer through a pipe, and then molten methane is recovered. In this study, as the first step of the numerical analysis of the multiphase flow through complex boundary changing geometry, a new technique to generate a deformable solid boundary is proposed based on the lattice gas automata method. By using this technique, fundamental numerical simulations are demonstrated for the immiscible two-component flow in two-dimensional systems. Comparisons between simulation and experimental results clarified that the present technique is applicable to the flow of hot water and liquid methane and the disassociation of methane hydrate wall.
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Fang, Junlin, Qian Sun, Yu Ji, Zishen Ye, Jun Sun, and Zhe Sui. "Numerical Investigation on Heat Transfer Features of Gas-Cooled Open Lattice Reactor in Normal Operations." In 2022 29th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/icone29-92925.

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Abstract The gas-cooled reactor combined with Brayton cycle energy conversion system has been investigated with the application potential to meet the requirement of large power nuclear reactor systems in deep space explorations. Conceptual core design configured in the open lattice has attracted extensive attention due to the compact structure, and its heat transfer features need further investigation, including conduction, convection, and radiation. Many studies on thermal-hydraulic characteristics of similar structure reactors such as Pressurized Water Reactor (PWR) and Sodium Cooled Fast Reactor (SFR) have been carried out. However, different operating conditions bring the distinct heat transfer features. Referring to Prometheus program, this paper analyses the heat transfer features of gas-cooled open lattice reactor by numerical simulations. The computational fluid dynamic tool (ANSYS Fluent) is mainly used to investigate the effect of circumferential rod heat conduction, thermal radiation among fuel rods, and gas flow distribution. The results show that contributions of conduction, convection and radiation to the total reactor core heat transfer should be taken into account. The maximum temperature on the walls can be lower by increasing the rod thermal conductivity, enhancing the thermal radiation among fuel rods, and increasing the gas flow of inner core. This study will help to develop the system code for the thermal-hydraulic design and safety analysis of gas-cooled open lattice reactors.
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Kashyap, Dhrubajyoti, and Anoop K. Dass. "Entropy Generation Analysis of Mixed Convection Flow in a Nanofluid Filled Porous Cavity Using a Two-Component Lattice Boltzmann Method." In ASME 2019 Gas Turbine India Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gtindia2019-2544.

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Abstract In the present work, a comprehensive analysis is made to understand the effect of velocity boundary conditions on the flow and thermal behaviour during mixed convection flow in a nanofluid-saturated porous square cavity. Two different velocity boundary conditions based on the movement of horizontal walls of the cavity are considered. The vertical fixed walls are differentially heated and the horizontal lids are thermally insulated. We have adopted the two-phase thermal lattice Boltzmann model (TLBM) for nanofluid system and modified this model to simulate nanofluid-filled porous medium by incorporating the Brinkman–Forchheimer-extended Darcy model. The current results provide good concordance with the published results computed through conventional numerical techniques. The detailed study of the heat transfer rate, entropy generation is made for discretely varying Richardson numbers (Ri) from 0.1 to 10 and Darcy numbers (Da) from 10−4 to 10−2 while maintaining Grashof number (Gr) at 104 and volume fractions of Cu nanoparticle (ϕ) less than equal to 5%. It is observed from the results that the optimal flow condition in terms of energy efficiency depends on the values of Ri and Da. From the viewpoint of both 1st and 2nd laws of thermodynamics, the performance of nanofluid is not satisfactory compared to the base fluid for current configurations as the augmentation of entropy generation with ϕ is more prominent compared to heat transfer enhancement.
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Lauwers, Daniel, Matthias Meinke, and Wolfgang Schröder. "A coupled lattice Boltzmann/finite volume method for turbulent gas-liquid bubbly flows." In VI ECCOMAS Young Investigators Conference. València: Editorial Universitat Politècnica de València, 2021. http://dx.doi.org/10.4995/yic2021.2021.12211.

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The study of gas-liquid multiphase flows has been an active research topic for many decades. They occur in processes belonging to industries including chemical, pharmaceutical, food, energy, and machinery industries. As processes in these fields become more refined, there is an increasing demand for the detailed analysis and accurate prediction of such flows. There are many categories of multiphase gas-liquid flows. We consider a dispersed phase in a carrier phase, such as small gas bubbles in liquids or liquid droplets in a gas. The technical application is a pulsed electrochemical machining (PECM) process, in which gas bubbles are generated in a liquid electrolyte during the electrochemical removal of material. The simulation method is based on an Eulerian-Eulerian model for the dispersed gas-liquid bubbly flow. The conservation equations are volumetrically averaged, resulting in one set of conservation equations per phase. The liquid phase is using a Lattice-Boltzmann method, while the gas phase is modelled by a Finite-Volume method. Interface terms between the phases result in a two-way coupled system. Both methods are formulated on a shared Cartesian grid similar to the concept in [1], which facilitates the exchange of information between the two solvers and an efficient implementation on HPC hardware. This coupled multiphase approach combines the advantages of the Lattice Boltzmann method as an efficient prediction tool for low Mach number flows with those of a finite-volume method for the Navier-Stokes equation used for the phase with larger density changes. To accurately model the turbulent motion of the liquid phase on all relevant scales, a cumulant-based collision step for the Lattice-Boltzmann scheme [2] is combined with a Smagorinsky sub-grid-scale turbulence model. In the finite-volume solver, the effects of the sub-grid-scale turbulence are incorporated according to the MILES approach. For the validation of the new method, large-eddy simulations (LES) of turbulent bubbly flows are performed. The accuracy of the predictions is evaluated comparing the results to reference data from experiments and other simulations for generic test cases, for which good agreement is found. The applicability of the method will be demonstrated for a bubbly turbulent channel flow, which mimics the phenomena in the PECM process.
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Noui-Mehidi, Mohamed Nabil. "Numerical Simulations of the Flow Past Crescent Cylinders – Flow Monitoring." In Middle East Oil, Gas and Geosciences Show. SPE, 2023. http://dx.doi.org/10.2118/213942-ms.

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Abstract The flow characteristics of the vortex shedding system behind two cylinders that have a crescent cross-section, were numerically studied using a lattice Boltzmann approach. Two configurations ate considered, in one the crescent is facing the flow and in the other facing the flow downstream. The system of vortices formed behind the crescent cylinders was compared to the classical case of a circular cylinder for the same geometrical, physical and dynamic conditions at varying Reynolds numbers. The flow properties from all three cases studied have revealed that the crescent shape affects strongly the shedding mechanism. The numerical results showed that the flow past the crescent facing downstream of the flow was very similar to that of the circular cylinder, whereas there were remarkable differences when compared to the crescent cylinder facing the flow upstream.
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Gao, Yuan. "Comparing the Permeability Calculation Between Different System Size of the Computational Gas Diffusion Layer Sample in PEMFC." In ASME 2014 12th International Conference on Fuel Cell Science, Engineering and Technology collocated with the ASME 2014 8th International Conference on Energy Sustainability. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/fuelcell2014-6323.

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The gas diffusion layers (GDLs) are key components in proton exchange membrane fuel cells and understanding fluid flow through them plays a significant role in improving fuel cell performance. We used a combination of multiple-relaxation time (MRT) lattice Boltzmann method (LBM) and X-ray micro tomography imaging technology to compare results on dependence of the permeability calculation on the different system size of the computational gas diffusion layer sample. The micro-structures of the carbon paper (HP_1.76) and carbon cloth (HP_1.733) GDL were all digitizing 3D images acquired by X-ray computed micro-tomography at a resolution of 1.76 and 1.733 microns meter respectively, and the fluid flow was simulated by applying pressure gradient in both the through-plane and in-plane direction respectively. The lattice Boltzmann method for permeability calculation has already been tested in our previous work. In this work, we will focus on the permeability calculation of the realistic gas diffusion layer samples depend on the different size samples. The results show the permeability increases with fluctuations as the porosity rises. All the permeability and porosity converge to the value of large size sample that can be regarding a representative volume element. As the porosity and permeability of these Porous samples differs significantly for each other, the anisotropic permeability is nearly same for each one. We can choose part of the sample to calculate the characters if the sample is too big to calculate. We systematically study the effect of system size and periodic boundary condition and validate Darcy’s law from the linear dependence of the flux on the body force exerted.
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Tanigawa, Hirofumi, and Takaharu Tsuruta. "Lattice Gas Analysis on Two-Phase Flow in Cathode of Polymer Electrolyte Fuel Cells." In ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ht2007-32759.

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A numerical simulation system for the analysis of the transport phenomena inside the cathode electrode has been developed. The Lattice Gas Automaton (LGA) method is used for two-dimensional simulations to study the gas and water behaviors in the different type of flow passages. Three kinds of flow passage, the serpentine-type, the straight-type and the column-type are selected and their performances are compared. In this simulation, we shall consider the reaction between the proton and the oxygen as well as the water behaviors inside the separator flow-channel. The protons are supplied randomly at a constant rate on the flow-path surface, and the water is considered to be produced when the oxygen encounters to the proton. The transients of the reaction rate corresponding to the power generation are counted and the relation between the cell performance and the two-phase flow behaviors is investigated. The influence of hydrophobic and hydrophilic electrode on the cell performance is also studied. It is found that the serpentine-type flow is effective for the electric generation performance but induces the larger pressure loss. For the serpentine-type separator the hydrophobic electrode is effective for reducing the plugging phenomenon.
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Madiebo, Kingsley I., Hadi Nasrabadi, and Eduardo Gildin. "Mesoscopic Simulation of Slip Motion for Gas Flow in Nanochannels." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-53696.

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In this paper the Lattice Boltzmann method (LBM) was used to investigate gas flow in nano-channels, the critical region beyond which indefinite slip motion occurs in this channel and its effect on the deduced permeability. We defined a parallel-bounded planar two-dimensional domain for our simulation and calculated the system velocity profile. Numerical conformity was achieved when compared with the Hagen-Poiseuille’s equation. Good agreement was also established between the simulation and existing models reported in literature. A closer look at the region of full slip motion was also done and we observed that above a critical slip coefficient, a sudden significant increase in slip motion sets-in indefinitely with respect to the system time scale. The results indicate that when the LBM is used in gas flow simulation in nano-channels, if the slip effect is increased there is an effective increase in the fluid velocity and this affects the deduced permeability.
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Kapral, Raymond. "Discrete Dynamics of Spatio-Temporal Structures." In Nonlinear Dynamics in Optical Systems. Washington, D.C.: Optica Publishing Group, 1990. http://dx.doi.org/10.1364/nldos.1990.is9.

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A heirarchy of discrete models for the description of spatio-temporal structures will be presented and applied to the study of specific physical systems. These models include classical cellular automata, coupled map lattices and lattice gas cellular automata.
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Reports on the topic "Lattice gas system"

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Elton, A. B. H. A numerical theory of lattice gas and lattice Boltzmann methods in the computation of solutions to nonlinear advective-diffusive systems. Office of Scientific and Technical Information (OSTI), September 1990. http://dx.doi.org/10.2172/6480937.

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