Asymmetric simple exclusion process and modified random matrix ensembles

Nuclear Physics B

Volumn 699, Issue 3, 2004, Pages 487-502

  Nagao, Taro ^a   Sasamoto, Tomohiro ^b  

^a NAGOYA UNIVERSITY   (Japan)

^b TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Asymmetric exclusion process; Random matrices

Indexed keywords

EID: 4844231719     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2004.08.016     Document Type: Article

References (19)

1. T.M. Liggett Interacting Particle Systems 1985 Springer-Verlag
2. T.M. Liggett Stochastic Interacting Systems: Contact, Voter, and Exclusion Processes 1999 Springer-Verlag
3. H. Spohn Large Scale Dynamics of Interacting Particles 1991 Springer-Verlag
4. G.M. Schütz J. Stat. Phys. 88 1997-427
5. G.M. Schütz Exactly solvable models for many-body systems far from equilibrium in: C. Domb J.L. Lebowitz (Eds.) Phase Transitions and Critical Phenomena vol. 19 2000
6. V.B. Priezzhev Exact non-stationary probabilities in the asymmetric exclusion process on a ring cond-mat/0211052
7. M. Kardar G. Parisi Y.C. Zhang Phys. Rev. Lett. 56 1986 889
8. K. Johansson Commun. Math. Phys. 209 2000 437
9. M.L. Mehta Random Matrices second ed. 1991 Academic Press
10. R.P. Stanley Enumerative Combinatorics, vol. 2 1999 Springer-Verlag
11. J. Baik E.M. Rains J. Stat. Phys. 100 2000 523
12. J. Baik E.M. Rains Duke Math. J. 109 2001 1
13. J. Baik E.M. Rains Duke Math. J. 109 2001 205
14. M. Prähofer H. Spohn in: V. Sidoravicius (Ed.) In and Out of Equilibrium, Progress in Probability vol. 51 2002 185-204
15. M. Gaudin Nucl. Phys. 25 1961 447
16. C.A. Tracy H. Widom Commun. Math. Phys. 159 1994 151
17. C.A. Tracy H. Widom Commun. Math. Phys. 177 1996 727
18. P.J. Forrester Nucl. Phys. B 402 1993 709
19. P.J. Forrester Painlevé transcendent evaluation of the scaled distribution of the smallest eigenvalue in the Laguerre orthogonal and symplectic ensembles nlin.SI/0005064