R. Brito and M.H. Ernst. Ring kinetic theory for tagged-particle problems in lattice gases. Physical Review A, 46(2):875--887, 1992.  Home/Search   Document Not in Database   Summary   APS   Related Articles   Check

.... hydrodynamics and thermohydrodynamics [26, 34, 43, 2, 67] immiscible fluids [75, 25, 46, 45] multiphase systems [21, 4, 3, 5, 103, 44, 77, 99, 98, 78] reaction di#usion systems [31, 57, 53] magnetohydrodynamics [23, 24, 27, 66] flow through porous media [74, 28] renormalized kinetic theory [55, 17, 50, 18, 92, 70, 12], and quantum dynamics [83, 84, 104] A good review of the lattice gas subject, with particular emphasis on interfaces, phase transitions, and multiphase flow, has recently been presented by Rothman and Zaleski [76] Additionally, a fairly comprehensive bibliography of the subject has been ....

....to the system s behavior. Lattice gas simulations can verify theoretical predictions beyond the Boltzmann mean field approximation of 9 uncorrelated collisions: the phenomenon of long time tails in the velocity autocorrelation function [1, 72, 36] has recently been observed in lattice gases [55, 17, 18]. Fourthly, like their cellular automata cousins, lattice gases are local. The combination of simplicity and locality of lattice gas rules allows in principle nearly ideal logic density. The highest logic density that one could physically imagine would be the atomic density of solids. There ....

R. Brito and M.H. Ernst. Ring kinetic theory for tagged-particle problems in lattice gases. Physical Review A, 46(2):875--887, 1992.

.... lattice gas method has been undergoing improvement, beginning in the mid 1970 s up to the present day by many researchers, including Hardy, de Pazzis and Pomeau [50] Kadano#, McNamara, and Zanetti [51, 52, 53, 54] Boghosian et al. 55, 56, 57, 58] Boon et al. 59, 60] Ernst, Das, Brito,et al. [61, 62, 63, 64], Henon [41, 65] Doolen, S. Chen, et al. 66, 67, 68, 69, 70, 71] Frisch, Pomeau, d Humieres et al. 35, 36] Appert, Zeleski, and Rothman et al. 42, 43, 44, 45, 46] and Yepez [47, 48, 49, 72, 73] This is by no means either an exhaustive list of all researchers or publications in this ....

....ordering that is characteristic of lattice gas fluids 11 . Incompressible viscous hydrodynamics occurs when we 11 A tagged particle in a lattice gas undergoes a random walk, and the observed di#usive behavior of tagged particles in lattice gas simulations agrees well with analytical results [92, 62] 28 also have M # Kn so that Re #O(1) and ## # # Kn 2 . A procedure for linearizing the mesoscopic Boltzmann equation and comparing the resulting dispersion relations to the solution of the e#ective field theory equations of motions Equations (3) and (6) given immediately below in ....

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R. Brito and M.H. Ernst. Ring kinetic theory for tagged-particle problems in lattice gases. Physical Review A, 46(2):875--887, 1992.

....to the system s behavior. Lattice gas simulations have verified theoretical predictions beyond the Boltzmann mean field approximation of uncorrelated collisions: the phenomenon of longtime tails in the velocity autocorrelation function [2, 52, 26] has recently been observed in lattice gases [40, 16, 17]. Like their cellular automata cousins, lattice gases are local. The combination of simplicity and locality of lattice gas rules allows in principle nearly ideal logic density. Earlier in the introduction I tried to extrapolate what would be the highest logic density that one would expect two ....

....and multiphase fluid motion observed in nature. Numerical measurements taken from classical lattice gas simulations are generally in excellent agreement with mean field theory predictions [34, 3, 71] and, in the rare instance when this is not the case, with more exact field theoretic calculations [40, 17, 12]. Yet it is important to stress that in many cases classical lattice gases can behave in bizarre and clearly unphysical ways, albeit usually far away from equilibrium where theoretical constraints on the dynamics are violated. 12 In 12 These bizarre behaviors are not signs of instabilities, but ....

R. Brito and M.H. Ernst. Ring kinetic theory for tagged-particle problems in lattice gases. Physical Review A, 46(2):875--887, 1992.

....essential to the system s behavior. Latticegas simulations can verify theoretical predictions beyond the Boltzmann meanfield approximation of uncorrelated collisions: the phenomenon of long time tails in the velocity autocorrelation function [45, 46, 47] has recently been observed in lattice gases [48, 49, 50]. 4 Lattice Gas Automata We first define, in the usual way, what a lattice gas cellular automaton is. Then we analytically treat the lattice gas in the Boltzmann limit to show that one may use strictly deterministic local rules to obtain the correct macroscopic limit. We show in particular that ....

R. Brito and M.H. Ernst. Ring kinetic theory for tagged-particle problems in lattice gases. Physical Review A, 46(2):875--887, 1992.

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R. Brito and M.H. Ernst. Ring kinetic theory for tagged-particle problems in lattice gases. Physical Review A, 46(2):875--887, 1992.

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R. Brito and M.H. Ernst. Ring kinetic theory for tagged-particle problems in lattice gases. Physical Review A, 46(2):875--887, 1992.

No context found.

R. Brito and M.H. Ernst. Ring kinetic theory for tagged-particle problems in lattice gases. Physical Review A, 46(2):875--887, 1992.

No context found.

R. Brito and M.H. Ernst. Ring kinetic theory for tagged-particle problems in lattice gases. Physical Review A, 46(2):875--887, 1992.

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