Conservation laws and integrability of a one-dimensional model of diffusing dimers

Journal of Statistical Physics

Volumn 86, Issue 5-6, 1997, Pages 1237-1263

  Menon, Gautam I ^a   Barma, Mustansir ^a   Dhar, Deepak ^a  

^a TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

Author keywords

Infinity of conservation laws; Integrability; Many sector decomposability; One dimensional stochastic lattice gases; Quantum spin chains

Indexed keywords

EID: 0031093422     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02183622     Document Type: Article

References (29)

1. M. Barma, M. D. Grynberg, and R. B. Stinchcombe, Phys. Rev. Lett. 70:1033 (1993).
2. R. B. Stinchcombe, M. D. Grynberg, and M. Barma, Phys. Rev. E 47:4018 (1993).
3. M. Barma and D. Dhar, Phys. Rev. Lett. 73:2135 (1994).
4. M. Barma, In Nonequilibrium Statistical Mechanics in One Dimension, V. Privman, ed. (Cambridge University Press, Cambridge, to appear).
5. M. Barma and D. Dhar, In Statphys-19 (The 19th IUPAP International Conference on Statistical Physics, Xiamen) (World Scientific, Singapore, 1996).
6. D. Dhar and M. Barma, Pramana J. Phys. 41:L193 (1993).
7. M. Barma and D. Dhar, In Proceedings of the International Colloqium on Modern Quantum Field Theory II, S. K. Das, G. Mandal, S. Mukhi, and S. R. Wadia, eds. (World Scientific, Singapore, 1995), p. 123.
8. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981).
9. R. Z. Bariev, J. Phys. A 24:L-549-533 (1991).
10. C. Boldrighini, G. Cosimi, S. Frigio, and M. Grasso Nunes, J. Stat. Phys. 55:611 (1989).
11. B. Derrida, S. Janowsky, J. L. Lebowitz, and E. R. Speer, J. Stat. Phys. 73:813 (1993).
12. P. A. Ferrari, L. R. G. Fontes, and Y. Kohayakawa, J. Stat. Phys. 76:813 (1993).
13. B. Schmittmann and R. K. P. Zia, In Phase Transitions and Critical Phenomena, Vol. 17, C. Domb and J. L. Lebowitz, eds. (Academic Press, New York, to appear).
14. Z. Q. Ma, Yang-Baxter Equation and Quantum Enveloping Algebras (World Scientific, Singapore, 1990), Chapter II.
15. F. C. Alcaraz, M. Droz, M. Henkel, and V. Rittenberg, Ann. Phys. (N. Y.) 230:250 (1994).
16. J. L. Hirsch, Phys. Lett. A 134:451 (1989); Physica 158C:326 (1989).
17. J. L. Hirsch, Phys. Lett. A 134:451 (1989); Physica 158C:326 (1989).
18. L. A. Takhtajan, In Exactly Solvable Problems in Condensed Matter and Relativistic Field Theory, B. S. Shastry, S. S. Jha, and V. Singh, eds. (Springer-Verlag, Berlin, 1986), pp. 175-219.
19. S. N. Majumdar and M. Barma, Physica A 177:366 (1991).
20. M. K. Hari Menon and D. Dhar, J. Phys. A 28:6517 (1995).
21. M. K. Hari Menon, Ph.D thesis, Bombay University (1995).
22. M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. 56:889 (1986).
23. J. P. Doherty, M. A. Moore J. M Kim, and A. J. Bray, Phys. Rev. Lett. 72:2041 (1994).
24. M. Kardar and A. Zee, Nucl. Phys. B 464:449 (1996).
25. D. Dhar, Phase Transitions 9:51 (1987); L.-H. Gwa and H. Spohn, Phys. Rev. A 46:844 (1992).
26. D. Dhar, Phase Transitions 9:51 (1987); L.-H. Gwa and H. Spohn, Phys. Rev. A 46:844 (1992).
27. T. Halpin-Healy and Y.-C. Zhang, Phys. Rep. 254:215 (1995).
28. D. Kim, Phys. Rev. E 52:3512 (1995).
29. R. J. Baxter, T. G. Enting, and S. K. Tsang, J. Stat. Phys. 22:465 (1980).