Density profile of the one-dimensional partially asymmetric simple exclusion process with open boundaries

Journal of the Physical Society of Japan

Volumn 69, Issue 4, 2000, Pages 1055-1067

  Sasamoto, Tomohiro ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Asymmetric simple exclusion process; Density profile; Exact solution; q orthogonal polynomials

Indexed keywords

EID: 0034412160     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.69.1055     Document Type: Article

References (30)

1. T. Sasamoto: J. Phys. A 32 (1999) 7109.
2. T. M. Ligget: Interacting Particle Systems (Springer, New York, 1985); Stochastic Interacting Systems: Contact, Voter, and Exclusion Processes (Springer, New York, 1999).
3. T. M. Ligget: Interacting Particle Systems (Springer, New York, 1985); Stochastic Interacting Systems: Contact, Voter, and Exclusion Processes (Springer, New York, 1999).
4. H. Spohn: Large Scale Dynamics of Interacting Particles (Springer, New York, 1991).
5. B. Derrida: Phys. Rep. 301 (1998) 65.
6. B. Schmittmann and R. K. P. Zia: Statistical mechanics of driven diffusive systems, in Phase Transitions and Critical Phenomena, Vol. 17, ed. C. Domb and J. Lebowitz (Academic, London, 1994).
7. B. Derrida, M. R. Evans, V. Hakim and V. Pasquier: J. Phys. A 26 (1993) 1493.
8. G. Schütz and E. Domany: J. Stat. Phys. 72 (1993) 277.
9. A. B. Kolomeisky, G. M. Schütz, E. B. Kolomeisky and J. P. Straley: J. Phys. A 31 (1998) 6911.
10. F. H. L. Essler and V. Rittenberg: J. Phys. A 29 (1996) 3375.
11. S. Sandow: Phys. Rev. E 50 (1994) 2660.
12. S. Sandow and G. M. Schütz: Europhys. Lett. 26 (1994) 7.
13. R. A. Blythe, M. R. Evans, F. Colaiori and F. H. L. Essler: cond-mat/9910242.
14. T. Sasamoto, S. Mori and M. Wadati: J. Phys. Soc. Jpn. 65 (1996) 2000.
15. G. E. Andrews, R. Askey and R. Roy: Special Functions (Cambridge, Cambridge, 1999).
16. G. Gasper and M. Rahman: Basic Hypergeometric Series (Cambridge, Cambridge, 1990).
17. K. Mallick: J. Phys. A 29 (1996) 5375.
18. T. Sasamoto: to appear in Phys. Rev. E.
19. F. H. Jafarpour: J. Phys. A 33 (2000) 1797.
20. M. R. Evans, D. P. Foster, C. Godèche and D. Mukamel: Phys. Rev. Lett. 74 (1995) 208; J. Stat. Phys. 230 (1995) 69.
21. M. R. Evans, D. P. Foster, C. Godèche and D. Mukamel: Phys. Rev. Lett. 74 (1995) 208; J. Stat. Phys. 230 (1995) 69.
22. M. R. Evans, Y. Kafri, H. M. Koduvely and D. Mukamel: Phys. Rev. Lett. 230 (1998) 425.
23. P. F. Arndt, T. Heinzel and V. Rittenberg: J. Phys. A 31 (1998) 833; J. Stat. Phys. 90 (1998) 783; J. Phys. A 31 (1998) L45; J. Stat. Phys. 97 (1999) 1.
24. P. F. Arndt, T. Heinzel and V. Rittenberg: J. Phys. A 31 (1998) 833; J. Stat. Phys. 90 (1998) 783; J. Phys. A 31 (1998) L45; J. Stat. Phys. 97 (1999) 1.
25. P. F. Arndt, T. Heinzel and V. Rittenberg: J. Phys. A 31 (1998) 833; J. Stat. Phys. 90 (1998) 783; J. Phys. A 31 (1998) L45; J. Stat. Phys. 97 (1999) 1.
26. P. F. Arndt, T. Heinzel and V. Rittenberg: J. Phys. A 31 (1998) 833; J. Stat. Phys. 90 (1998) 783; J. Phys. A 31 (1998) L45; J. Stat. Phys. 97 (1999) 1.
27. F. C. Alcaraz, S. Dasmahaptra and V. Rittenberg: J. Phys. A 31 (1998) 845.
28. K. Mallick, S. Mallick and N. Rajewsky: J. Phys. A 32 (1999) 8399.
29. N. Rajewsky, T. Sasamoto and E. R. Speer: to appear in Physica A.
30. R. A. Askey and J. A. Wilson: Memoirs Amer. Math. Soc. 319 (1985).