Universality properties of the stationary states in the one-dimensional coagulation-diffusion model with external particle input

Journal of Statistical Physics

Volumn 86, Issue 5-6, 1997, Pages 1203-1235

  Hinrichsen, Haye ^a   Rittenberg, Vladimir ^b   Simon, Horatiu ^b  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b UNIVERSITY OF BONN   (Germany)

Author keywords

Coagulation model; Nonequilibrium statistical mechanics; Reaction diffusion systems; Universality

Indexed keywords

EID: 0031092608     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02183621     Document Type: Article

References (27)

1. R. Kroon, H. Fleurent, and R. Sprik, Phys. Rev. E 47:2462 (1993).
2. K. Kang and S. Redner, Phys. Rev. A 30:2833 (1984).
3. C. R. Doering and D. ben-Avraham, Phys. Rev. A 38:3035 (1988); M. A. Bursehka, C. R. Doering, and D. ben-Avraham, Phys. Rev. Lett. 63:700 (1989); D. ben-Avraham, M. A. Burschka, and C. R. Doering, J. Stat. Phys. 60:695 (1990); C. R. Doering, M. A. Burschka, and W. Horsthemke, J. Stat. Phys. 65:953 (1991); D. ben-Avraham. Mod. Phys. Lett. B 9:895 (1995).
4. C. R. Doering and D. ben-Avraham, Phys. Rev. A 38:3035 (1988); M. A. Bursehka, C. R. Doering, and D. ben-Avraham, Phys. Rev. Lett. 63:700 (1989); D. ben-Avraham, M. A. Burschka, and C. R. Doering, J. Stat. Phys. 60:695 (1990); C. R. Doering, M. A. Burschka, and W. Horsthemke, J. Stat. Phys. 65:953 (1991); D. ben-Avraham. Mod. Phys. Lett. B 9:895 (1995).
5. C. R. Doering and D. ben-Avraham, Phys. Rev. A 38:3035 (1988); M. A. Bursehka, C. R. Doering, and D. ben-Avraham, Phys. Rev. Lett. 63:700 (1989); D. ben-Avraham, M. A. Burschka, and C. R. Doering, J. Stat. Phys. 60:695 (1990); C. R. Doering, M. A. Burschka, and W. Horsthemke, J. Stat. Phys. 65:953 (1991); D. ben-Avraham. Mod. Phys. Lett. B 9:895 (1995).
6. C. R. Doering and D. ben-Avraham, Phys. Rev. A 38:3035 (1988); M. A. Bursehka, C. R. Doering, and D. ben-Avraham, Phys. Rev. Lett. 63:700 (1989); D. ben-Avraham, M. A. Burschka, and C. R. Doering, J. Stat. Phys. 60:695 (1990); C. R. Doering, M. A. Burschka, and W. Horsthemke, J. Stat. Phys. 65:953 (1991); D. ben-Avraham. Mod. Phys. Lett. B 9:895 (1995).
7. C. R. Doering and D. ben-Avraham, Phys. Rev. A 38:3035 (1988); M. A. Bursehka, C. R. Doering, and D. ben-Avraham, Phys. Rev. Lett. 63:700 (1989); D. ben-Avraham, M. A. Burschka, and C. R. Doering, J. Stat. Phys. 60:695 (1990); C. R. Doering, M. A. Burschka, and W. Horsthemke, J. Stat. Phys. 65:953 (1991); D. ben-Avraham. Mod. Phys. Lett. B 9:895 (1995).
8. R. J. Glauber, J. Math. Phys. 4:294 (1963); D. Bedeaux, K. E. Schuler, and I. Oppenheim, J. Stat. Phys. 2:1 (1970).
9. R. J. Glauber, J. Math. Phys. 4:294 (1963); D. Bedeaux, K. E. Schuler, and I. Oppenheim, J. Stat. Phys. 2:1 (1970).
10. I. Peschel, V. Rittenberg, and U. Schultze, Nucl. Phys. B 430:633 (1994).
11. T. Vicsek, P. Meakin, and F. Family, Phys. Rev. A 32:1122 (1985); Z. Racz, Phys. Rev. A 32:1129 (1985); H. Hayakawa, J. Phys. A 20:L801 (1987); H. Takayasu, I. Hisikawa, and H. Taski, Phys. Rev. A 37:3110 (1988); C. R. Doering and D. ben-Avraham, Phys. Rev. Lett. 62:2563 (1989).
12. T. Vicsek, P. Meakin, and F. Family, Phys. Rev. A 32:1122 (1985); Z. Racz, Phys. Rev. A 32:1129 (1985); H. Hayakawa, J. Phys. A 20:L801 (1987); H. Takayasu, I. Hisikawa, and H. Taski, Phys. Rev. A 37:3110 (1988); C. R. Doering and D. ben-Avraham, Phys. Rev. Lett. 62:2563 (1989).
13. T. Vicsek, P. Meakin, and F. Family, Phys. Rev. A 32:1122 (1985); Z. Racz, Phys. Rev. A 32:1129 (1985); H. Hayakawa, J. Phys. A 20:L801 (1987); H. Takayasu, I. Hisikawa, and H. Taski, Phys. Rev. A 37:3110 (1988); C. R. Doering and D. ben-Avraham, Phys. Rev. Lett. 62:2563 (1989).
14. T. Vicsek, P. Meakin, and F. Family, Phys. Rev. A 32:1122 (1985); Z. Racz, Phys. Rev. A 32:1129 (1985); H. Hayakawa, J. Phys. A 20:L801 (1987); H. Takayasu, I. Hisikawa, and H. Taski, Phys. Rev. A 37:3110 (1988); C. R. Doering and D. ben-Avraham, Phys. Rev. Lett. 62:2563 (1989).
15. T. Vicsek, P. Meakin, and F. Family, Phys. Rev. A 32:1122 (1985); Z. Racz, Phys. Rev. A 32:1129 (1985); H. Hayakawa, J. Phys. A 20:L801 (1987); H. Takayasu, I. Hisikawa, and H. Taski, Phys. Rev. A 37:3110 (1988); C. R. Doering and D. ben-Avraham, Phys. Rev. Lett. 62:2563 (1989).
16. Z. Cheng, S. Redner, and F. Leyvraz, Phys. Rev. Lett. 62:2321 (1989).
17. F. C. Alcaraz, M. Droz, M. Henkel, and V. Rittenberg, Ann. Phys. 230:250 (1994).
18. K. Krebs, M. Pfannmüller, B. Wehefritz, and H. Hinrichsen, J. Stat. Phys. 78:1429 (1995).
19. H. Hinrichsen, K. Krebs, and I. Peschel, Z. Phys. B 100:105 (1996).
20. B. Derrida, V. Hakim, and V. Pasquier, Phys. Rev. Lett. 75:751 (1995).
21. H. Derrida, J. Phys. A 28:1481 (1995).
22. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1965).
23. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed. (Academic Press, New York, 1965).
24. H. Simon, J. Phys. A 28:6585 (1995).
25. B. P. Lee and J. Cardy, J. Stat. Phys. 80:971 (1995).
26. J. Cardy, Private communication.
27. K. Krebs, M. Pfannmüller, H. Simon, and B. Wehefritz, J. Stat. Phys. 78:1471 (1995).