FROM STOCHASTIC-PROCESSES TO THE HYDRODYNAMIC EQUATIONS

被引：9

作者：

BECK, C ^{[1
]}

ROEPSTORFF, G ^{[1
]}

机构：

[1] UNIV WARWICK,INST MATH,COVENTRY CV4 7AL,W MIDLANDS,ENGLAND

来源：

PHYSICA A | 1990年 / 165卷 / 02期

关键词：

D O I：

10.1016/0378-4371(90)90195-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Starting from the Langevin equation for the (rescaled) position of a single particle in an incompressible liquid we derive an infinite hierarchy of hydrodynamic equations for suitably defined conditional expectations. Among them is the continuity equation, the Navier-Stokes equation, and the energy balance equation with Prandtl number Pr=1. Our approach uses a path integral formulation and the Fokker-Planck equation. The results demonstrate how the basic hydrodynamic equations arise from a stochastic independent particle model. © 1990.

引用

页码：270 / 278

页数：9

共 26 条

[1] FROM DYNAMIC-SYSTEMS TO THE LANGEVIN EQUATION
BECK, C
ROEPSTORFF, G
[J]. PHYSICA A, 1987, 145 (1-2): : 1 - 14
[2] Bogoliubov N., 1946, J PHYS-USSR, V10, P257
[3] A GENERAL KINETIC THEORY OF LIQUIDS .1. THE MOLECULAR DISTRIBUTION FUNCTIONS
BORN, M
GREEN, HS
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1946, 188 (1012) : 10 - 18
[4] On the partial separation by thermal diffusion of gases of equal molecular weight.
Chapman, S.
[J]. PHILOSOPHICAL MAGAZINE, 1917, 34 (199-04) : 146 - 151
[5] On the law of distribution of molecular velocities, and on the theory of viscosity and thermal conduction, in a non-uniform simple monatomic gas.
Chapman, S.
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL OR PHYSICAL CHARACTER, 1916, 216 : 279 - 348
[6] The kinetic theory of simple and composite monatomic gases viscosity, thermal conduction, and diffusion
Chapman, S
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1916, 93 (646) : 1 - 20
[7] CHAPMAN S, 1916, PHIL T R SOC LOND A, V217, P115
[8] STOCHASTIC-PROCESSES ORIGINATING IN DETERMINISTIC MICROSCOPIC DYNAMICS
DURR, D
GOLDSTEIN, S
LEBOWITZ, JL
[J]. JOURNAL OF STATISTICAL PHYSICS, 1983, 30 (02) : 519 - 526
[9] NONUNITARY TRANSFORMATIONS AND HYDRODYNAMIC LIMIT IN THE ONE-DIMENSIONAL HARD-POINT GAS
ELSKENS, Y
[J]. PHYSICA A, 1987, 142 (1-3): : 1 - 21
[10] Enskog D., 1917, KINETISCHE THEORIE V

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