Fick's law, Green-Kubo formula, and Heisenberg's equation of motion

被引：35

作者：

Lee, MH ^{[1
]}

机构：

[1] Korea Inst Adv Study, Seoul 130012, South Korea

[2] Univ Georgia, Dept Phys & Astron, Athens, GA 30602 USA

来源：

PHYSICAL REVIEW LETTERS | 2000年 / 85卷 / 12期

关键词：

D O I：

10.1103/PhysRevLett.85.2422

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Fick's law is important in transport theory and nonequilibrium statistical mechanics. The Heisenberg equation of motion for density is examined to see how it could br reduced to the diffusion equation, which is exactly equivalent to Fick's law. Conditions that are required have been noted and their implications explored.

引用

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页码：2422 / 2425

页数：4

相关论文

共 49 条

[1] Inelastic quantum transport [J].

Bonca, J ;

Trugman, SA .

PHYSICAL REVIEW LETTERS, 1997, 79 (24) :4874-4877

[2] BREAKDOWN OF HYDRODYNAMICS IN THE CLASSICAL 1D HEISENBERG-MODEL [J].

BONFIM, OFD ;

REITER, G .

PHYSICAL REVIEW LETTERS, 1992, 69 (02) :367-370

[3]

BORG RJ, 1988, SOLID STATE DIFFUSIO

[4] LONG-TIME DYNAMICS VIA DIRECT SUMMATION OF INFINITE CONTINUED FRACTIONS [J].

CAI, ZX ;

SEN, S ;

MAHANTI, SD .

PHYSICAL REVIEW LETTERS, 1992, 68 (11) :1637-1640

[5] A NOTE ON OFF-CENTER DIFFUSION [J].

DESPA, F ;

APOSTOL, M .

SOLID STATE COMMUNICATIONS, 1995, 94 (02) :153-155

[6] On the geometrical factor in the off-centre diffusion [J].

Despa, F ;

Apostol, M .

JOURNAL OF PHYSICS AND CHEMISTRY OF SOLIDS, 1996, 57 (09) :1231-1241

[7]

Duderstadt J. J., 1979, Transport theory

[8]

EGELSTAFF PA, 1967, INTRO LIQUID STATE, P118

[9] Dynamics of the random one-dimensional transverse Ising model [J].

Florencio, J ;

Barreto, FCS .

PHYSICAL REVIEW B, 1999, 60 (13) :9555-9560

[10] Thermal conductivity and Lorenz number for one-dimensional ballistic transport [J].

Greiner, A ;

Reggiani, L ;

Kuhn, T ;

Varani, L .

PHYSICAL REVIEW LETTERS, 1997, 78 (06) :1114-1117

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