Critical behavior of the one-dimensional annihilation-fission process 2A→Φ, 2A→3A

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

Volumn 62, Issue 3 A, 2000, Pages

  Ódor, Géza ^a  

^a RESEARCH INSTITUTE FOR TECHNICAL PHYSICS AND MATERIALS SCIENCE   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

ABSORPTION; APPROXIMATION THEORY; COMPUTER SIMULATION; DIFFUSION IN GASES; EXTRAPOLATION; LATTICE CONSTANTS; MONTE CARLO METHODS; PERCOLATION (SOLID STATE); PHASE DIAGRAMS; PHASE TRANSITIONS; PROBABILITY DISTRIBUTIONS;

ANNIHILATION-FISSION PROCESS;

FISSION REACTIONS;

EID: 0038111204     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.R3027     Document Type: Article

References (38)

1. R. Dickman and T. Tomé, Phys. Rev. A 44, 4833 (1991).
2. N. Menyhárd and G. Ódor, J. Phys. A 28, 4505 (1995).
3. N. Menyhárd and G. Ódor, J. Phys. A 31, 6771 (1998).
4. K. Oerding, F. van Wijland, J.-P. Leroy, and H. J. Hilhorst, e-print cond-mat/9910351.
5. H. K. Janssen, Z. Phys. B: Condens. Matter 42, 151 (1981).
6. P. Grassberger, Z. Phys. B: Condens. Matter 47, 365 (1982).
7. I. Jensen, Phys. Rev. Lett. 70, 1465 (1993).
8. I. Jensen and R. Dickman, Phys. Rev. E 48, 1710 (1993).
9. J. F. F. Mendes, R. Dickman, M. Henkel, and M. C. Marques, J. Phys. A 27, 3019 (1994).
10. H. Takayasu and A. Yu. Tretyakov, Phys. Rev. Lett. 68, 3060 (1992).
11. I. Jensen, Phys. Rev. E 50, 3623 (1994).
12. D. ben Avraham, F. Leyvraz, and S. Redner, Phys. Rev. E 50, 1843 (1994).
13. J. Cardy and U. Täuber, Phys. Rev. Lett. 77, 4780 (1996).
14. P. Grassberger, F. Krause, and T. von der Twer, J. Phys. A 17, L105 (1984).
15. N. Menyhárd, J. Phys. A 27, 6139 (1994).
16. H. M. Kim and H. Park, Phys. Rev. Lett. 73, 2579 (1994).
17. H. Hinrichsen, Phys. Rev. E 55, 219 (1997).
18. K. E. Bassler and D. A. Browne, Phys. Rev. Lett. 77, 4094 (1996).
19. H. Park and H. Park, Physica A 221, 97 (1995).
20. N. Menyhárd and G. Ódor, J. Phys. A 29, 7739 (1996).
21. G. Ódor and N. Menyhárd, Phys. Rev. E 57, 5168 (1998).
22. N. Menyhárd and G. Ódor, Braz. J. Phys. 30, 113 (2000).
23. E. Carlon, M. Henkel, and U. Schollwöck, e-print cond-mat/9912347.
24. M. J. Howard and U. C. Täuber, J. Phys. A 30, 7721 (1997).
25. Density-Matrix Renormalization, edited by I. Peschel, X. Wang, M. Kaulke, and K. Hallberg (Springer, Berlin, 1999).
26. H. Hinrichsen, e-print cond-mat/0001177.
27. G. Ödor, A. Krikelis, G. Vesztergombi and F. Rohrbach, Proceedings of the Seventh Euromicro Workshop on Parallel and Distributed Processing, Funchal (Portugal), 1999, edited by B. Werner (IEEE Computer Society Press, Los Alamitos, 1999); e-print physics/9909054.
28. H. Hinrichsen, e-print cond-mat/0004348.
29. P. Grassberger (private communication).
30. J. F. F. Mendes (private communication).
31. H. A. Gutowitz, J. D. Victor, and B. W. Knight, Physica D 28, 18 (1987).
32. R. Dickman, Phys. Rev. A 38, 2588 (1988).
33. M. Suzuki, J. Phys. Soc. Jpn. 55, 4205 (1986).
34. G. Ódor, Phys. Rev. E 51, 6261 (1995); G. Szabó and G. Ódor, ibid 59, 2764 (1994).
35. G. Ódor, Phys. Rev. E 51, 6261 (1995); G. Szabó and G. Ódor, ibid 59, 2764 (1994).
36. G. Ódor (unpublished).
37. P. Grassberger and A. de la Torre, Ann. Phys. (N.Y.) 122, 373 (1979).
38. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, England, 1999).