Chin. Phys. Lett.  2015, Vol. 32 Issue (5): 050503    DOI: 10.1088/0256-307X/32/5/050503
GENERAL |
Spectrum of the Open Asymmetric Simple Exclusion Process with Arbitrary Boundary Parameters
WEN Fa-Kai1, YANG Zhan-Ying1**, CUI Shuai3, CAO Jun-Peng3, YANG Wen-Li2**
1School of Physics, Northwest University, Xi'an 710069
2Institute of Modern Physics, Northwest University, Xi'an 710069
3Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190
Cite this article:   
WEN Fa-Kai, YANG Zhan-Ying, CUI Shuai et al  2015 Chin. Phys. Lett. 32 050503
Download: PDF(467KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract We study the one-dimensional asymmetric simple exclusion process (ASEP) with generic open boundaries (including current-counting deformation), and obtain the exact solutions of this ASEP via the off-diagonal Bethe ansatz method. In particular, numerical results for the small size asymmetric simple exclusion process indicate that the spectrum obtained by the Bethe ansatz equations is complete. Moreover, we present the eigenvalue of the totally asymmetric exclusion process and the corresponding Bethe ansatz equations.
Received: 22 January 2015      Published: 01 June 2015
PACS:  05.70.Ln (Nonequilibrium and irreversible thermodynamics)  
  02.50.Ey (Stochastic processes)  
  75.10.Lp (Band and itinerant models)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/32/5/050503       OR      https://cpl.iphy.ac.cn/Y2015/V32/I5/050503
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
WEN Fa-Kai
YANG Zhan-Ying
CUI Shuai
CAO Jun-Peng
YANG Wen-Li
[1] De Gier J and Essler F H L 2005 Phys. Rev. Lett. 95 240601
[2] Derrida B 2007 J. Stat. Mech. 2007 P07023
[3] Sellitto M 2008 Phys. Rev. Lett. 101 048301
[4] Jiang R, Wang Y Q, Kolomeisky A B, Huang W, Hu M B and Wu Q S 2013 Phys. Rev. E 87 012107
[5] MacDonald C T, Gibbs J H and Pipkin A C 1968 Biopolymers 6 1
[6] Ciandrini L, Stansfield I and Romano M C 2010 Phys. Rev. E 81 051904
[7] Gorissen M, Lazarescu A, Mallick K and Vanderzande C 2012 Phys. Rev. Lett. 109 170601
[8] Neri I, Kern N and Parmeggiani A 2011 Phys. Rev. Lett. 107 068702
[9] Raguin A, Parmeggiani A and Kern N 2013 Phys. Rev. E 88 042104
[10] Huang D W 2005 Phys. Rev. E 72 016102
[11] Li S D, Liu M Z and Pei X J 2013 Chin. Phys. B 22 060512
[12] Popkov V, Salerno M and Schütz G M 2008 Phys. Rev. E 78 011122
[13] Sandow S 1994 Phys. Rev. E 50 2660
[14] Prolhac S 2010 J. Phys. A: Math. Theor. 43 105002
[15] de Gier J and Essler F H L 2011 Phys. Rev. Lett. 107 010602
[16] Cao J, Yang W L, Shi K and Wang Y 2013 Nucl. Phys. B 875 152
[17] Cao J, Yang W L, Shi K and Wang Y 2013 Phys. Rev. Lett. 111 137201
[18] Jiang Y, Cui S, Cao J, Yang W L and Wang Y 2013 arXiv:1309.6456 [hep-ph]
[19] Li Y Y, Cao J, Yang W L, Shi K and Wang Y 2014 Nucl. Phys. B 879 98
[20] Zhang X, Cao J, Yang W L, Shi K and Wang Y 2014 J. Stat. Mech. 2014 P04031
[21] Hao K, Cao J, Li G L, Yang W L, Shi K and Wang Y 2014 J. High Energy Phys. 146 128
[22] de Gier J and Essler F H L 2006 J. Stat. Mech. 2006 P12011
[23] Crampe N 2015 J. Phys. A: Math. Gen. 48 08FT01
[24] Lebowitz J L and Spohn H 1999 J. Stat. Phys. 95 333
[25] Essler F H L and Rittenberg V 1996 J. Phys. A: Math. Gen. 29 3375
[26] Lazarescu A and Pasquier V 2014 J. Phys. A: Math. Gen. 47 295202
[27] Cao J, Cui S, Yang W L, Shi K and Wang Y 2015 J. High Energy Phys. 1502 036
Related articles from Frontiers Journals
[1] Mengmeng Xi, Rongqian Wang, Jincheng Lu, and Jian-Hua Jiang. Coulomb Thermoelectric Drag in Four-Terminal Mesoscopic Quantum Transport[J]. Chin. Phys. Lett., 2021, 38(8): 050503
[2] Chen Wang, Lu-Qin Wang, and Jie Ren. Managing Quantum Heat Transfer in a Nonequilibrium Qubit-Phonon Hybrid System with Coherent Phonon States[J]. Chin. Phys. Lett., 2021, 38(1): 050503
[3] Xiaowei Liu, Jingyuan Guo, Zhibing Li. Critical One-Dimensional Absorption-Desorption with Long-Ranged Interaction[J]. Chin. Phys. Lett., 2019, 36(8): 050503
[4] Yu-Hong Zhang, Hui Liu, Ying-Rong Han, Ya-Fei Chen, Su-Hua Zhang, Yong Zhan. Temperature Impacts on Transient Receptor Potential Channel Mediated Calcium Oscillations in Astrocytes[J]. Chin. Phys. Lett., 2017, 34(9): 050503
[5] Nan-Xian Chen, Bo-Hua Sun. Note on Divergence of the Chapman–Enskog Expansion for Solving Boltzmann Equation [J]. Chin. Phys. Lett., 2017, 34(2): 050503
[6] Pei-Yan Peng, Chang-Kui Duan. A Maxwell Demon Model Connecting Information and Thermodynamics[J]. Chin. Phys. Lett., 2016, 33(08): 050503
[7] SU Hao, SHI Zhi-Cheng, HE Ji-Zhou. Optimal Performance Analysis of a Three-Terminal Thermoelectric Refrigerator with Ideal Tunneling Quantum Dots[J]. Chin. Phys. Lett., 2015, 32(10): 050503
[8] ZHOU Zong-Li, LI Min, YE Jian, LI Dong-Peng, LOU Ping, ZHANG Guo-Shun. The Heisenberg Model after an Interaction Quench[J]. Chin. Phys. Lett., 2014, 31(10): 050503
[9] LI Cong, ZHANG Yan-Chao, HE Ji-Zhou. A Nanosize Quantum-Dot Photoelectric Refrigerator[J]. Chin. Phys. Lett., 2013, 30(10): 050503
[10] Roumen Tsekov, Marga C. Lensen. Brownian Motion and the Temperament of Living Cells[J]. Chin. Phys. Lett., 2013, 30(7): 050503
[11] ZHANG Yan-Chao, HE Ji-Zhou. Efficiency at Maximum Power of a Quantum Dot Heat Engine in an External Magnetic Field[J]. Chin. Phys. Lett., 2013, 30(1): 050503
[12] Clóves G. Rodrigues. Onset for the Electron Velocity Overshoot in Indium Nitride[J]. Chin. Phys. Lett., 2012, 29(12): 050503
[13] XIAO Yao, HUA Da-Yin. Promotion of Cooperation in a Spatial Public Goods Game with Long Range Learning and Mobility[J]. Chin. Phys. Lett., 2012, 29(11): 050503
[14] WU An-Cai . Percolation of Mobile Individuals on Weighted Scale-Free Networks[J]. Chin. Phys. Lett., 2011, 28(11): 050503
[15] ZHANG Yan-Ping, HE Ji-Zhou**, XIAO Yu-Ling . An Approach to Enhance the Efficiency of a Brownian Heat Engine[J]. Chin. Phys. Lett., 2011, 28(10): 050503
Viewed
Full text


Abstract