Inhomogeneous steady states of diffusion-limited coalescence, A + A ⇌ A

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 249, Issue 5-6, 1998, Pages 415-423

  Ben Avraham, Daniel ^a  

^a Ciarkson University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COALESCENCE; DISTRIBUTION FUNCTIONS; LINEAR EQUATIONS;

DIFFUSION LIMITED; EQUILIBRIUM SYSTEMS; IRREVERSIBLE TRAPS; NONEQUILIBRIUM STATE; OPTIMAL VALUES; PARTICLE DISTRIBUTION FUNCTIONS; RATE COEFFICIENTS; REACTION DIFFUSION EQUATIONS;

DIFFUSION;

EID: 0043080040     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(98)00695-1     Document Type: Article

References (39)

1. N.G. van Kampen, Stochastic processes in physics and chemistry (North-Holland, Amsterdam, 1981).
2. H. Haken, Synergetics (Springer, Berlin, 1978).
3. G. Nicolis, I. Prigogine, Self-organization in non-equilibrium systems (Wiley, New York, 1980).
4. T.M. Liggett, Interacting particle systems (Springer, New York, 1985).
5. S.A. Rice, Diffusion-limited reactions (Elsevier, Amsterdam, 1985).
6. K. Kang, S. Redner, Phys. Rev. A 32 (1985) 435; V. Kuzovkov, E. Kotomin, Rep. Prog. Phys. 51 (1988) 1479.
7. K. Kang, S. Redner, Phys. Rev. A 32 (1985) 435; V. Kuzovkov, E. Kotomin, Rep. Prog. Phys. 51 (1988) 1479.
8. Proc. Conf. on Models of Non-Classical Reaction Rates, held at NIH (25-27 March 1991) in honor of the 60th birthday of G.H. Weiss, J. Stat. Phys. 65, Nos. 5,6 (1991).
9. K.J. Laidler, Chemical Kinetics (McGraw-Hill, New York, 1965).
10. S.W. Benson, The foundations of chemical kinetics (McGraw-Hill, New York, 1960).
11. D. ben-Avraham, M.A. Burschka, C.R. Doering, J. Stat. Phys. 60 (1990) 695.
12. D. ben-Avraham, Mod. Phys. Lett. B 9 (1995) 895; in: Nonequilibrium statistical mechanics in one dimension, ed. V. Privman (Cambridge Univ. Press, Cambridge, 1997) pp. 29-50.
13. D. ben-Avraham, Mod. Phys. Lett. B 9 (1995) 895; in: Nonequilibrium statistical mechanics in one dimension, ed. V. Privman (Cambridge Univ. Press, Cambridge, 1997) pp. 29-50.
14. C.R. Doering, Physica A 188 (1992) 386.
15. H. Hinrichsen, K. Krebs, M.P. Pfannmüller, J. Stat. Phys. 78 (1995) 1429; B. Wehefritz, K. Krebs, M.P. Pfannmüller, J. Stat. Phys. 78 (1995) 1471; H. Hinrichsen, K. Krebs, I. Peschel, Z. Phys. B 100 (1996) 105.
16. H. Hinrichsen, K. Krebs, M.P. Pfannmüller, J. Stat. Phys. 78 (1995) 1429; B. Wehefritz, K. Krebs, M.P. Pfannmüller, J. Stat. Phys. 78 (1995) 1471; H. Hinrichsen, K. Krebs, I. Peschel, Z. Phys. B 100 (1996) 105.
17. H. Hinrichsen, K. Krebs, M.P. Pfannmüller, J. Stat. Phys. 78 (1995) 1429; B. Wehefritz, K. Krebs, M.P. Pfannmüller, J. Stat. Phys. 78 (1995) 1471; H. Hinrichsen, K. Krebs, I. Peschel, Z. Phys. B 100 (1996) 105.
18. M. Henkel, E. Orlandini, G.M. Schütz, J. Phys. A 28 (1995) 6335; M. Henkel, E. Orlandini, J. Santos, Ann. Phys. (NY) 259 (1997) 163.
19. M. Henkel, E. Orlandini, G.M. Schütz, J. Phys. A 28 (1995) 6335; M. Henkel, E. Orlandini, J. Santos, Ann. Phys. (NY) 259 (1997) 163.
20. H. Simon, J. Phys. A 28 (1995) 6335.
21. D. Balboni, P.-A. Rey, M. Droz, Phys. Rev. E 52 (1995) 6220; P.-A. Rey, M. Droz, J. Phys. A 30 (1997) 1101.
22. D. Balboni, P.-A. Rey, M. Droz, Phys. Rev. E 52 (1995) 6220; P.-A. Rey, M. Droz, J. Phys. A 30 (1997) 1101.
23. M. Bramson, D. Griffeath, Ann. Prob. 8 (1980) 183; Z. Wahrsch. Geb. 53 (1980) 183.
24. M. Bramson, D. Griffeath, Ann. Prob. 8 (1980) 183; Z. Wahrsch. Geb. 53 (1980) 183.
25. D.C. Torney, H.M. McConnell, Proc. R. Soc. Lond. A 387 (1983) 147.
26. J.L. Spouge, Phys. Rev. Lett. 60 (1988) 871.
27. H. Takayasu, I. Nishikawa, H. Tasaki, Phys. Rev. A 37 (1988) 3110.
28. V. Privman, Phys. Rev. E 50 (1994) 50; Mod. Phys. Lett. B 8 (1994) 143; V. Privman, A.M.R. Cadilhe, M.L. Lawrence, J. Stat. Phys. 81 (1995) 881; Phys. Rev. E 53 (1996) 739.
29. V. Privman, Phys. Rev. E 50 (1994) 50; Mod. Phys. Lett. B 8 (1994) 143; V. Privman, A.M.R. Cadilhe, M.L. Lawrence, J. Stat. Phys. 81 (1995) 881; Phys. Rev. E 53 (1996) 739.
30. V. Privman, Phys. Rev. E 50 (1994) 50; Mod. Phys. Lett. B 8 (1994) 143; V. Privman, A.M.R. Cadilhe, M.L. Lawrence, J. Stat. Phys. 81 (1995) 881; Phys. Rev. E 53 (1996) 739.
31. V. Privman, Phys. Rev. E 50 (1994) 50; Mod. Phys. Lett. B 8 (1994) 143; V. Privman, A.M.R. Cadilhe, M.L. Lawrence, J. Stat. Phys. 81 (1995) 881; Phys. Rev. E 53 (1996) 739.
32. R.A. Fisher, Ann. Eugenics VII (1936) 355.
33. A. Kolmogorov, I. Petrovsky, N. Piskounov, Bull Univ. Moskau Ser. Internat. Sec. A 1 (1937) 1.
34. J.D. Murray, Mathematical biology (Springer, Berlin, 1989).
35. K.A. Dahmen, D.R. Nelson, N.M. Shnerb, Life and death near a windy oasis, cond-mat/9807394.
36. C.R. Doering, M.A. Burschka, W. Horsthemke, J. Stat. Phys. 65 (1991) 953.
37. J. Riordan, C.R. Doering, D. ben-Avraham, Phys. Rev. Lett. 75 (1995) 565.
38. D. ben-Avraham, Phys. Lett. A 247 (1998) 53.
39. D. ben-Avraham, Diffusion-limited coalescence A + A ⇌ A, with a trap, cond-mat/9802214, submitted to Phys. Rev. E.