Phase-space diffusion in a system with a partially permeable wall

被引：15

作者：

Kosztolowicz, T ^{[1
]}

机构：

[1] Jan Kochanowski Univ Humanities & Sci, Inst Phys, PL-25406 Kielce, Poland

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 08期

关键词：

D O I：

10.1088/0305-4470/31/8/007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new boundary condition for a diffusive system with a partially permeable wall described by the Klein-Kramers equation is proposed. The Green functions for such a system are given and a generalization to the system with a series of walls is briefly discussed. It is shown that the well known boundary condition for the case of a partially absorbing wall(which gives the so-called radiation boundary condition for the diffusion equation) cannot be used for the system under consideration.

引用

页码：1943 / 1948

页数：6

共 19 条

[1] HALF-RANGE COMPLETENESS FOR THE FOKKER-PLANCK EQUATION [J].

BEALS, R ;

PROTOPOPESCU, V .

JOURNAL OF STATISTICAL PHYSICS, 1983, 32 (03) :565-584

[2] THE KINETIC BOUNDARY-LAYER FOR THE FOKKER-PLANCK EQUATION - SELECTIVELY ABSORBING BOUNDARIES [J].

BURSCHKA, MA ;

TITULAER, UM .

JOURNAL OF STATISTICAL PHYSICS, 1981, 26 (01) :59-71

[3]

EYRING H, 1965, THEORETICAL MATH BIO, P57

[4]

GIESE AC, 1979, CELL PHYSL

[5]

Katchalsky A., 1965, NONEQUILIBRIUM THERM, P113, DOI DOI 10.4159/HARVARD.9780674494121.C10

[6] Green's functions for a system with a thin membrane [J].

Kosztolowicz, T .

PHYSICAL REVIEW E, 1996, 54 (04) :3639-3642

[7] Continuous versus discrete description of the transport in a membrane system [J].

Kosztolowicz, T .

PHYSICA A, 1998, 248 (1-2) :44-56

[8] GREEN-FUNCTION APPROACH TO THE SOLUTION OF THE TIME-DEPENDENT FOKKER PLANCK EQUATION WITH AN ABSORBING BOUNDARY [J].

MENON, SVG ;

KUMAR, V ;

SAHNI, DC .

PHYSICA A, 1986, 135 (01) :63-79

[9] REDUCED DESCRIPTION OF BROWNIAN-MOTION IN A HALF-SPACE WITH A PARTIALLY ABSORBING BOUNDARY [J].

MENON, SVG .

PHYSICS LETTERS A, 1986, 119 (05) :210-214

[10] DERIVATION OF THE DIFFUSION EQUATION AND RADIATION BOUNDARY-CONDITION FROM THE FOKKER-PLANCK EQUATION [J].

MENON, SVG ;

SAHNI, DC .

PHYSICAL REVIEW A, 1985, 32 (06) :3832-3834

← 1 2 →