Nonequilibrium dynamics in low-dimensional systems

被引:47
作者
Evans, MR [1 ]
Blythe, RA [1 ]
机构
[1] Univ Edinburgh, Dept Phys & Astron, Edinburgh EH9 3JZ, Midlothian, Scotland
关键词
nonequilibrium dynamics; stochastic processes; phase transition; asymmetric exclusion process; reaction kinetics;
D O I
10.1016/S0378-4371(02)01035-X
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In these lectures we give an over-view of nonequilibrium stochastic systems. In particular we discuss in detail two models, the asymmetric exclusion process and a ballistic reaction model, that illustrate many general features of nonequilibrium dynamics: for example coarsening dynamics and nonequilibrium phase transitions, As a secondary theme we shall show how a common mathematical structure, the q-deformed harmonic oscillator algebra, serves to furnish exact results for both systems. Thus the lectures also serve as a gentle introduction to things q-deformed, (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:110 / 152
页数:43
相关论文
共 77 条
[1]   REACTION-DIFFUSION PROCESSES, CRITICAL-DYNAMICS, AND QUANTUM CHAINS [J].
ALCARAZ, FC ;
DROZ, M ;
HENKEL, M ;
RITTENBERG, V .
ANNALS OF PHYSICS, 1994, 230 (02) :250-302
[2]   DIFFUSION ANNIHILATION IN ONE DIMENSION AND KINETICS OF THE ISING-MODEL AT ZERO TEMPERATURE [J].
AMAR, JG ;
FAMILY, F .
PHYSICAL REVIEW A, 1990, 41 (06) :3258-3262
[3]  
[Anonymous], REP MATH PHYS
[4]  
[Anonymous], 1979, Reversibility and Stochastic Networks
[5]   Yang-Lee theory for a nonequilibrium phase transition [J].
Arndt, PF .
PHYSICAL REVIEW LETTERS, 2000, 84 (05) :814-817
[6]  
ASKEY R, 1989, Q SERIES PARTITIONS
[7]   Metal theory [J].
Bethe, H. .
ZEITSCHRIFT FUR PHYSIK, 1931, 71 (3-4) :205-226
[8]   Stochastic ballistic annihilation and coalescence [J].
Blythe, RA ;
Evans, MR ;
Kafri, Y .
PHYSICAL REVIEW LETTERS, 2000, 85 (18) :3750-3753
[9]   Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra [J].
Blythe, RA ;
Evans, MR ;
Colaiori, F ;
Essler, FHL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (12) :2313-2332
[10]  
BLYTHE RA, 2002, IN PRESS PHYS REV LE