PHASE-TRANSITIONS IN AN EXACTLY SOLUBLE ONE-DIMENSIONAL EXCLUSION PROCESS

被引：487

作者：

SCHUTZ, G ^{[1
]}

DOMANY, E ^{[1
]}

机构：

[1] WEIZMANN INST SCI, DEPT ELECTR, IL-76100 REHOVOT, ISRAEL

来源：

JOURNAL OF STATISTICAL PHYSICS | 1993年 / 72卷 / 1-2期

关键词：

ASYMMETRIC EXCLUSION PROCESS; STEADY STATE; BOUNDARY-INDUCED PHASE TRANSITIONS;

D O I：

10.1007/BF01048050

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider an exclusion process with particles injected with rate alpha at the origin and removed with rate beta at the right boundary of a one-dimensional chain of sites. The particles are allowed to hop onto unoccupied sites, to the right only. For the special case of alpha = beta = 1 the model was solved previously by Derrida et al. Here we extend the solution to general alpha, beta. The phase diagram obtained from our exact solution differs from the one predicted by the mean-field approximation.

引用

页码：277 / 296

页数：20

共 13 条

[1] AN EXACT SOLUTION OF A ONE-DIMENSIONAL ASYMMETRIC EXCLUSION MODEL WITH OPEN BOUNDARIES
DERRIDA, B
DOMANY, E
MUKAMEL, D
[J]. JOURNAL OF STATISTICAL PHYSICS, 1992, 69 (3-4) : 667 - 687
[2] EXACT CORRELATION-FUNCTIONS IN AN ASYMMETRIC EXCLUSION MODEL WITH OPEN BOUNDARIES
DERRIDA, B
EVANS, MR
[J]. JOURNAL DE PHYSIQUE I, 1993, 3 (02): : 311 - 322
[3] BETHE SOLUTION FOR THE DYNAMIC-SCALING EXPONENT OF THE NOISY BURGERS-EQUATION
GWA, LH
SPOHN, H
[J]. PHYSICAL REVIEW A, 1992, 46 (02): : 844 - 854
[4] 6-VERTEX MODEL, ROUGHENED SURFACES, AND AN ASYMMETRIC SPIN HAMILTONIAN
GWA, LH
SPOHN, H
[J]. PHYSICAL REVIEW LETTERS, 1992, 68 (06) : 725 - 728
[5] FINITE-SIZE EFFECTS AND SHOCK FLUCTUATIONS IN THE ASYMMETRIC SIMPLE-EXCLUSION PROCESS
JANOWSKY, SA
LEBOWITZ, JL
[J]. PHYSICAL REVIEW A, 1992, 45 (02): : 618 - 625
[6] A 6-VERTEX MODEL AS A DIFFUSION PROBLEM - DERIVATION OF CORRELATION-FUNCTIONS
KANDEL, D
DOMANY, E
NIENHUIS, B
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (15): : L755 - L762
[7] KANDEL D, WEIZMANN
[8] DYNAMIC SCALING OF GROWING INTERFACES
KARDAR, M
PARISI, G
ZHANG, YC
[J]. PHYSICAL REVIEW LETTERS, 1986, 56 (09) : 889 - 892
[9] BOUNDARY-INDUCED PHASE-TRANSITIONS IN DRIVEN DIFFUSIVE SYSTEMS
KRUG, J
[J]. PHYSICAL REVIEW LETTERS, 1991, 67 (14) : 1882 - 1885
[10] Krug J., 1991, SOLIDFAR EQUILIBRI, P412

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