LONG-TIME TAILS IN 2-DIMENSIONAL CELLULAR AUTOMATA FLUIDS

被引：23

作者：

NAITOH, T ^{[1
]}

ERNST, MH ^{[1
]}

DUFTY, JW ^{[1
]}

机构：

[1] MIT, DEPT NUCL ENGN, CAMBRIDGE, MA 02138 USA

来源：

PHYSICAL REVIEW A | 1990年 / 42卷 / 12期

关键词：

D O I：

10.1103/PhysRevA.42.7187

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Mode-coupling theory is used to calculate the Green-Kubo time correlation functions for the two-dimensional Frisch-Hasslacher-Pomeau lattice-gas cellular automaton. An intermediate algebraic decay approximate 1/t and an asymptotic decay approximately 1/]t square-root ln(t) are found. The amplitudes for these decays are calculated and it is found that the contribution from diffusive modes associated with spurious conservation laws is significant. For the computer simulations in cellular automata fluids only the algebraic tail is relevant; the asymptotic tail dominates only on time scales large compared to 10(10) mean free times.

引用

页码：7187 / 7194

页数：8

共 25 条

[1]

ADLER BJ, 1970, PHYS REV A, V1, P18

[2]

[Anonymous], 2013, THEORY SIMPLE LIQUID

[3] A LATTICE GAS-MODEL WITH TEMPERATURE [J].

CHEN, S ;

LEE, M ;

ZHAO, KH ;

DOOLEN, GD .

PHYSICA D, 1989, 37 (1-3) :42-59

[4] CELLULAR AUTOMATA MODEL FOR HEAT-CONDUCTION IN A FLUID [J].

CHOPARD, B ;

DROZ, M .

PHYSICS LETTERS A, 1988, 126 (8-9) :476-480

[5] LONG-TIME EXPANSION OF 2-DIMENSIONAL CORRELATION-FUNCTIONS [J].

DESCHEPPER, IM ;

ERNST, MH .

PHYSICA A, 1977, 87 (01) :35-62

[6]

DHUMIERES D, 1986, EUROPHYS LETT, V2, P291, DOI 10.1209/0295-5075/2/4/006

[7]

DHUMIERES D, 1989, DISCRETE KINETIC THE

[8] GREEN-KUBO RELATIONS FOR LATTICE GAS CELLULAR AUTOMATA [J].

DUFTY, JW ;

ERNST, MH .

JOURNAL OF PHYSICAL CHEMISTRY, 1989, 93 (19) :7015-7019

[9]

DUFTY JW, 1990, MICROSCOPIC SIMULATI

[10] HYDRODYNAMICS AND TIME CORRELATION-FUNCTIONS FOR CELLULAR AUTOMATA [J].

ERNST, MH ;

DUFTY, JW .

JOURNAL OF STATISTICAL PHYSICS, 1990, 58 (1-2) :57-86

← 1 2 3 →