The Exact Solution of the Asymmetric Exclusion Problem with Particles of Arbitrary Size: Matrix Product Ansatz

Brazilian Journal of Physics

Volumn 33, Issue 3, 2003, Pages 533-550

  Alcaraz, Francisco C ^a   Lazo, Matheus J ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345491998     PISSN: 01039733     EISSN: None     Source Type: Journal    
DOI: 10.1590/S0103-97332003000300015     Document Type: Article

References (57)

1. A. A. Lushnikov, Zh. Éksp. Teor. Fiz. 91, 1376 (1986) [Sov. Phys. JETP 64, 811 (1986)], Phys. Lett. A 120, 135 (1987).
2. A. A. Lushnikov, Zh. Éksp. Teor. Fiz. 91, 1376 (1986) [Sov. Phys. JETP 64, 811 (1986)], Phys. Lett. A 120, 135 (1987).
3. A. A. Lushnikov, Zh. Éksp. Teor. Fiz. 91, 1376 (1986) [Sov. Phys. JETP 64, 811 (1986)], Phys. Lett. A 120, 135 (1987).
4. G. M. Schütz, J. Stat. Phys. 71, 471 (1993).
5. F. C. Alcaraz, M. Droz, M. Henkel, and V. Rittenberg, Ann. Phys. (N.Y.) 230, 250 (1994).
6. F. C. Alcaraz and V. Rittenberg, Phys. Lett. B 324, 377 (1993).
7. F. C. Alcaraz, Int. J. Mod. Phys. B bf 8, 3449 (1994).
8. M. D. Grynberg and R. B. Stinchcombe, Phys. Rev. Lett. 74, 1242 (1995).
9. K. Krebs, M. P. Pfannmüller, B. Wehefritz, and H. Henrichsen, J. Stat. Phys. 78, 1429 (1995).
10. J. E. Santos, G. M. Schütz, and R. B. Stinchcombe, J. Chem. Phys. 105, 2399 (1996).
11. M. J. de Oliveira, T. Tomé, and R. Dickman, Phys. Rev. A 46, 6294 (1992).
12. L. H. Gwa and H. Spohn, Phys. Rev. Lett. 68, 725 (1992), Phys. Rev. A 46, 844 (1992).
13. L. H. Gwa and H. Spohn, Phys. Rev. Lett. 68, 725 (1992), Phys. Rev. A 46, 844 (1992).
14. D. Kim, Phys. Rev. E 52, 3512 (1995).
15. D. Kim, J. Phys. A 30, 3817 (1997).
16. F. C. Alcaraz, S. Dasmahapatra and V. Rittenberg, J. Phys. A. 31, 845 (1998).
17. T. Sasamoto and M. Wadati, J. Phys. A 31, 6057 (1998).
18. F. C. Alcaraz and R. Z. Bariev, Phys. Rev. E 60, 79 (1999).
19. B. Derrida, Physics Reports 301, 65 (1998).
20. T. M. Ligget, Stochastic Interacting Systems: Contact, Voter and Exclusion Process (Springer Verlag, 1999).
21. F. C. Alcaraz and R. Z. Bariev, Braz. J. Phys. 30, 13 (2000).
22. F. C. Alcaraz and R. Z. Bariev, Braz. J. Phys. 30, 655 (2000).
23. G. M. Schütz, Integrable Stochastic Many-body Systems in "Phase Transition and Critical Phenomena", vol. 19, Eds. C. Domb and J. L. Lebowitz (Academic, London, 2000).
24. R. J. Baxter, Exactly solved models in statistical mechanics (Academic Press, New York, 1982).
25. V. E. Korepin, A. G. Izergin and N, M. Bogoliubov, Quantum Inverse Scattering Method, Correlation Functions and Algebraic Bethe Ansatz (Cambridge University Press, Cambridge, 1992).
26. F. H. L. Essler and V. E. Korepin, Exactly Solvable Models of Strongly Correlated Electrons (World Scientific, Singapore, 1994).
27. P. Schlottmann, Int. J. Mod. Physics B, 11, 355 (1997).
28. C. Boldrighini, G. Cosimi, S. Frigio, and G. Nuñes, J. Stat. Phys. 55, 611 (1989).
29. P. A. Ferrari, C. Kipnis and E. Saada, Ann. Prob. 19, 226 (1991).
30. P. A. Ferrari, Prob. Theory Relat. Fields 91, 81 (1992).
31. B. Sutherland, Phys. Rev. B 12, 3795 (1975).
32. J. H. H. Perk and C. L. Schultz, Phys. Lett. A 84, 407 (1981).
33. J. Krug and H. Spohn, Solids Far From Equilibrium Eds. C. Godrèche (Cambridge University Press, Cambridge, 1991).
34. B. Derrida, M. R. Evans, V. Hakim and V. Pasquier, J. Phys. A 26, 1493 (1993).
35. B. Derrida, E. Domany and D. Mukamel, J. Stat. Phys. 69, 667 (1992).
36. R. Domany and E. Schütz, J. Stat. Phys. 72, 277 (1993).
37. M. R. Evans, D. P. Foster, C. Godreche and D, Mukamel, J. Stat. Phys. 80, 69 (1995).
38. B. Derrida, J. L. Lebowitz and E. R. Speer, J. Stat. Phys. 89, 135 (1997).
39. K. Nagel and M. Schreckenberg, J. Physique 2, 2221 (1992).
40. R. B. Stinchcombe and G. M. Schütz, Phys. Rev. Lett. 75, 140 (1995) ; Europhys. Lettt. 29, 663 (1995).
41. R. B. Stinchcombe and G. M. Schütz, Phys. Rev. Lett. 75, 140 (1995) ; Europhys. Lettt. 29, 663 (1995).
42. T. Sasamoto and M. Wadati, J. Phys. Soc. Japan 66, 2618 (1999).
43. V. Popkov, M. E. Fouladvand and G. M. Schütz, J. Phys. A 35, 7187 (2002).
44. V. Popkov and G. M. Schütz, Math. Fis. Anal. Geom. 9, 401 (2002).
45. F. C. Alcaraz and M. J. Lazo, to be published.
46. C. N. Yang, Phys. Rev. Lett. 19, 1312 (1968).
47. K. Mallick, S. Mallick and N. Rajewsky, J. Phys. A 32, 48 (1999).
48. S. V. Pokrovskii and A. M. Tsvelick, Zh. Eksp. Teor. Fiz. 93, 2232 (1987)(Sov. Phys.-JETP 66, 6 (1987)).
49. S. V. Pokrovskii and A. M. Tsvelick, Zh. Eksp. Teor. Fiz. 93, 2232 (1987)(Sov. Phys.-JETP 66, 6 (1987)).
50. A. A. Ferreira and F. C. Alcaraz, Phys. Rev. E 65, 052102 (2002).
51. F. C. Alcaraz and R. Z. Bariev, in Statistical Physics in the Eve of the 21st Century, edited by M. T. Batchelor and L. T. Wille, Series on advances in Statistical Mechanics, Vol. 14 (World Scientic, Singapore, 1999), (Preprint cond-mat/9904042).
52. A. B. Zamolodchikov and V. Fateev, Sov. J. Nucl. Phys. 32, 298 (1980).
53. A. G. Izergin and V. E. Korepin, Commun. Math. Phys. 79, 303 (1981).
54. P. Schlottmann, Phys. Rev. B 36, 5177 (1987).
55. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).
56. F. C. Alcaraz and R. Z. Bariev, J. Phys. A 32, L483 (1999).
57. F. C. Alcaraz and R. Z. Bariev, J. Phys. A 34, L467 (2001).