Nonequilibrium statistical mechanics: A solvable model

被引：2

作者：

Mazilu, I. ^{[1
]}

Williams, H. T. ^{[1
]}

机构：

[1] Washington & Lee Univ, Dept Phys & Engn, Lexington, VA 24450 USA

来源：

AMERICAN JOURNAL OF PHYSICS | 2009年 / 77卷 / 05期

关键词：

Ising model; physics education; probability; statistical mechanics; ISING-MODEL; STATE;

D O I：

10.1119/1.3081423

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

A two-temperature linear spin model is presented as an introduction to nonequilibrium statistical physics. The model involves the concepts that are typical of more realistic nonequilibrium models, but has straightforward steady state solutions and, for small systems, development of the full time dependence for configuration probabilities. The model is accessible to upper-level undergraduates and provides a good check of computer models for larger systems.

引用

页码：458 / 467

页数：10

共 11 条

[1]

Binder Kurt, 1988, MONTE CARLO SIMULATI

[2]

Boltzmann L, 1896, Vorlesungen uber Gastheorie. Theorie der Gase mit einatomigen Molekulen, deren Dimensionen gegen die mittlere Weglange verschwinden1-2

[3]

Gibbs J. W., 1902, ELEMENTARY PRINCIPLE

[4] TIME-DEPENDENT STATISTICS OF ISING MODEL [J].

GLAUBER, RJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (02) :294-&

[5] Report on the theory of ferromagnetism [J].

Ising, E .

ZEITSCHRIFT FUR PHYSIK, 1925, 31 :253-258

[6] The Wave Function and Velocity Distribution of the degenerate Gas [J].

Lenz, W. .

ZEITSCHRIFT FUR PHYSIK, 1929, 56 (11-12) :778-789

[7] Exact dynamics of a reaction-diffusion model with spatially alternating rates [J].

Mobilia, M ;

Schmittmann, B ;

Zia, RKP .

PHYSICAL REVIEW E, 2005, 71 (05)

[8]

Pathria R. K., 1996, STAT MECH

[9] 2-TEMPERATURE KINETIC ISING-MODEL IN ONE-DIMENSION - STEADY-STATE CORRELATIONS IN TERMS OF ENERGY AND ENERGY FLUX [J].

RACZ, Z ;

ZIA, RKP .

PHYSICAL REVIEW E, 1994, 49 (01) :139-144

[10] Non-equilibrium stationary state of a two-temperature spin chain [J].

Schmüser, F ;

Schmittmann, B .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (11) :2569-2580

← 1 2 →