Bethe ansatz approach for the steady state of the asymmetric simple exclusion process with open boundaries

被引：0

作者：

Zhang, Xin ^{[1
]}

Wen, Fa-Kai ^{[2
]}

机构：

[1] Chinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China

[2] Yunnan Normal Univ, Coll Phys & Elect Informat, Kunming 650500, Peoples R China

来源：

PHYSICAL REVIEW B | 2025年 / 111卷 / 03期

基金：

中国国家自然科学基金;

关键词：

QUADRATIC ALGEBRA; CHAIN; REPRESENTATIONS; MODEL;

D O I：

10.1103/PhysRevB.111.035438

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the asymmetric simple exclusion process with nondiagonal boundary terms under a specific constraint. A symmetric chiral basis is constructed and a special string solution of the Bethe ansatz equations corresponding to the steady state is presented. Using the coordinate Bethe ansatz method, we derive a concise expression for the steady state. The current and density profile in the steady state are also studied.

引用

页数：14

共 37 条

[1] Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model
Antonio, N. Cirilo
Manojlovic, N.
Salom, I.
[J]. NUCLEAR PHYSICS B, 2014, 889 : 87 - 108
[2] Microscopic Structure of Shocks and Antishocks in the ASEP Conditioned on Low Current
Belitsky, V.
Schuetz, G. M.
[J]. JOURNAL OF STATISTICAL PHYSICS, 2013, 152 (01) : 93 - 111
[3] Belitsky V., 2002, Electron. J. Probab., V7, P1
[4] Algebraic Bethe Ansatz for Open XXX Model with Triangular Boundary Matrices
Belliard, Samuel
Crampe, Nicolas
Ragoucy, Eric
[J]. LETTERS IN MATHEMATICAL PHYSICS, 2013, 103 (05) : 493 - 506
[5] Nonequilibrium steady states of matrix-product form: a solver's guide
Blythe, R. A.
Evans, M. R.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (46) : R333 - R441
[6] On Matrix Product Ansatz for Asymmetric Simple Exclusion Process with Open Boundary in the Singular Case
Bryc, Wlodzimierz
Swieca, Marcin
[J]. JOURNAL OF STATISTICAL PHYSICS, 2019, 177 (02) : 252 - 284
[7] Exact solution of XXZ spin chain with unparallel boundary fields
Cao, JP
Lin, HQ
Shi, KJ
Wang, YP
[J]. NUCLEAR PHYSICS B, 2003, 663 (03) : 487 - 519
[8] Algebraic Bethe Ansatz for the Open XXZ Spin Chain with Non-Diagonal Boundary Terms via Uqsl2 Symmetry
Chernyak, Dmitry
Gainutdinov, Azat M.
Jacobsen, Jesper Lykke
Saleur, Hubert
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2023, 19
[9] Integrable approach to simple exclusion processes with boundaries. Review and progress
Crampe, N.
Ragoucy, E.
Vanicat, M.
[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2014,
[10] Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions
Crampe, N.
Ragoucy, E.
Simon, D.
[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2010,

← 1 2 3 4 →