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 50 条

[21] LONG-TIME TAILS IN A LORENTZ GAS
DAS, SP
ERNST, MH
PHYSICA A, 1988, 153 (01): : 67 - 72
[22] Are There Long-Time Tails in Granular Flows?
Hayakawa, Hisao
Otsuki, Michio
PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, 2009, (178): : 49 - 55
[23] PERTURBATIONS OF DYNAMICS OF HOMOGENEOUS 2-DIMENSIONAL CELLULAR AUTOMATA
MAKOWIEC, D
ACTA PHYSICA POLONICA B, 1993, 24 (04): : 801 - 813
[24] Structure and Reversibility of 2-dimensional Hexagonal Cellular Automata
Akin, Hasan
Siap, Irfan
Uguz, Selman
ICMS: INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE, 2010, 1309 : 16 - +
[25] CHAOS IN NETWORKS OF 2-DIMENSIONAL HOMOGENEOUS CELLULAR AUTOMATA
MAKOWIEC, D
PHYSICA A, 1991, 172 (03): : 291 - 301
[26] GENERAL ALGORITHM FOR 2-DIMENSIONAL TOTALISTIC CELLULAR AUTOMATA
BAGNOLI, F
RECHTMAN, R
RUFFO, S
JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 101 (01) : 176 - 184
[27] DOMAIN GROWTH IN 2-DIMENSIONAL METROPOLIS CELLULAR AUTOMATA
MENYHARD, N
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (21): : 5109 - 5113
[28] 2-DIMENSIONAL CELLULAR GROWTH-MODEL OF AUTOMATA
BLISHUN, AF
ENGINEERING CYBERNETICS, 1977, 15 (01): : 94 - 100
[29] ON COMPUTING THE LONG-TIME SOLUTION OF THE 2-DIMENSIONAL NAVIER-STOKES EQUATIONS
JOLLY, MS
XIONG, C
THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 1995, 7 (04) : 261 - 278
[30] LONG-TIME TAILS IN TWO-DIMENSIONAL LENNARD-JONES SYSTEMS
BISHOP, M
MICHELS, JPJ
CHEMICAL PHYSICS LETTERS, 1982, 88 (02) : 208 - 212

← 1 2 3 4 5 →