EXACT-SOLUTIONS TO THE TIME-DEPENDENT LORENTZ GAS BOLTZMANN-EQUATION - THE APPROACH TO HYDRODYNAMICS

被引：5

作者：

PALMERI, J ^{[1
]}

机构：

[1] UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801

来源：

JOURNAL OF STATISTICAL PHYSICS | 1990年 / 58卷 / 5-6期

关键词：

exact results; Lorentz gas; time-dependent Boltzmann equation; Transport theory;

D O I：

10.1007/BF01026556

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

New exact solutions to the time-dependent Lorentz gas Boltzmann equation are presented for two classes of nonequilibrium initial value problems: the decay of localized disturbances and the response to applied electric fields. These exact results are used to gain some insight into the crossover of the nonequilibrium state from the early-time kinetic regime to the late-time hydrodynamic regime. © 1990 Plenum Publishing Corporation.

引用

页码：885 / 921

页数：37

共 50 条

[1] EXACT-SOLUTIONS OF THE SEMICONDUCTOR BOLTZMANN-EQUATION
DALITZ, C
[J]. PHYSICA A, 1994, 203 (01): : 125 - 144
[2] EXACT-SOLUTIONS OF THE NONLINEAR BOLTZMANN-EQUATION
ERNST, MH
[J]. JOURNAL OF STATISTICAL PHYSICS, 1984, 34 (5-6) : 1001 - 1017
[3] SOLUTIONS OF THE SPATIALLY HOMOGENEOUS BOLTZMANN-EQUATION WITH TIME-DEPENDENT LORENTZ FORCE TERM
GRUNFELD, CP
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1985, 10 (04) : 289 - 295
[4] EXACT-SOLUTIONS FOR A SEMICONTINUOUS MODEL OF THE BOLTZMANN-EQUATION
CABANNES, H
TIEM, DH
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II, 1994, 318 (12): : 1583 - 1590
[5] EXACT-SOLUTIONS FOR SOME DISCRETE MODELS OF THE BOLTZMANN-EQUATION
CABANNES, H
TIEM, DH
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1987, 304 (01): : 29 - 34
[6] EXACT-SOLUTIONS TO THE TIME-DEPENDENT SCHRODINGER-EQUATION
RAY, JR
[J]. PHYSICAL REVIEW A, 1982, 26 (02): : 729 - 733
[7] EXACT-SOLUTIONS OF THE BOLTZMANN-EQUATION IN THE VHP MODEL WITH REMOVAL INTERACTION
SCHURRER, F
SCHALER, M
[J]. JOURNAL OF STATISTICAL PHYSICS, 1992, 66 (3-4) : 1045 - 1058
[8] ON THE BOLTZMANN-EQUATION FOR THE LORENTZ GAS
BOLDRIGHINI, C
BUNIMOVICH, LA
SINAI, YG
[J]. JOURNAL OF STATISTICAL PHYSICS, 1983, 32 (03) : 477 - 501
[9] EXACT-SOLUTIONS FOR SOME DISCRETE MODELS OF THE BOLTZMANN-EQUATION WITH MULTIPLE COLLISIONS
TIEM, DH
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II, 1991, 313 (09): : 995 - 998
[10] EXACT SOLUTIONS OF BOLTZMANN-EQUATION
KROOK, M
WU, TT
[J]. PHYSICS OF FLUIDS, 1977, 20 (10) : 1589 - 1595

← 1 2 3 4 5 →