Nonequilibrium correlation functions in the A+A→0 system with driven diffusion

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 53, Issue 2, 1996, Pages 1475-1478

  Schutz G M ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

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[No Author keywords available]

Indexed keywords

EID: 4243898420     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.1475     Document Type: Article

References (36)

1. Nonequilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, in press); H. E. Stanley and N. Ostrowksy, Random Fluctuations and Pattern Growth (Kluwer, Dordrecth, 1988).
2. C. T. MacDonald, J. H. Gibbs and A. C. Pipkin, Biopolymers 6, 1 (1968).
3. R. Kopelman, C. S. Li and Z. Y. Shi, J. Lumin. 45, 40 (1990).
4. R. Kroon, H. Fleurent and R. Sprik, Phys. Rev. E 47, 2462 (1993).
5. B. Schmittmann, and R. K. P. Zia in Phase Transitions and Critical Phenomena, edited by C. Domb and J. Lebowitz (Academic, London, 1995), Vol. 17.
6. J. W. Evans, Rev. Mod. Phys. 65, 1281 (1993).
7. R. J. Glauber, J. Math. Phys. 4, 294 (1963).
8. Z. Racz, Phys. Rev. Lett. 55, 1707 (1985).
9. J. G. Amar and F. Family, Phys. Rev. A 41, 3258 (1990).
10. F. Family and J. G. Amar, J. Stat. Phys. 65, 1235 (1991).
11. B. Derrida, S. A. Janowsky, J. L. Lebowitz and E. R. Speer, Europhys. Lett. 22, 651 (1993).
12. L. H. Gwa and H. Spohn, Phys. Rev. A 46, 844 (1992).
13. L. H. Gwa and H. Spohn, D. Kim Phys. Rev. E 52, 3512 (1995).
14. J. Krug, Phys. Rev. Lett. 67, 1882 (1991).
15. G. M. Schütz and E. Domany, J. Stat. Phys. 72, 277 (1993).
16. B. Derrida, M. R. Evans, V. Hakim and V. Pasquier, J. Phys. A 26, 1493 (1993).
17. M. Henkel and G. M. Schütz, Physica A 206, 187 (1994).
18. J. Krug and H. Spohn, in Solids far from Equilibrium, edited by C. Godreche (Cambridge University Press, Cambridge, England, 1991), and references therein.
19. A. A. Lushnikov, Phys. Lett. A 120, 135 (1987).
20. J. L. Spouge, Phys. Rev. Lett. 60, 871 (1988).
21. F. C. Alcaraz, M. Droz, M. Henkel and V. Rittenberg, Ann. Phys. (N.Y.) 230, 250 (1994).
22. K. Krebs, M. P. Pfannmüller, B. Wehefritz and H. Hinrichsen, J. Stat. Phys. 78, 1429 (1995).
23. H. Simon, J. Phys. A 28, 6585 (1995).
24. M. Henkel, E. Orlandini and G. M. Schütz, J. Phys. A 28, 6335 (1995).
25. V. Privman, J. Stat. Phys. 72, 845 (1993).
26. M. D. Grynberg, T. J. Newman and R. B. Stinchcombe, Phys. Rev. E 50, 957 (1994).
27. M. D. Grynberg and R. B. Stinchcombe, Phys. Rev. Lett. 74, 1242 (1995).
28. V. Privman, E. Burgos and M. D. Grynberg, Phys. Rev. E 52, 1866 (1995).
29. L. P. Kadanoff and J. Swift, Phys. Rev 165, 310 (1968).
30. M. Doi, J. Phys. A 9, 1465 (1976).
31. M. Doi, J. Phys. A 9, 1479 (1976).
32. The same statements hold if one also allows for creation of pairs of particles with rate λ' and chosen such that λ+λ'=D. This corresponds to the free fermion condition h+h'=ε + ε' for this generalized system studied in Ref. 19.
33. In what follows we set D=1.
34. P. Jordan and E. Wigner, Z. Phys. 47, 631 (1928).
35. G. M. Schütz, J. Phys. A 28, 3405 (1995).
36. M. Henkel and G. M. Schütz, Int. J. Mod. Phys. B 8, 3487 (1994).