Kinetics of stochastically gated diffusion-limited reactions and geometry of random walk trajectories

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

Volumn 61, Issue 4, 2000, Pages 3388-3406

  Benichou O ^a   Moreau, M ^a   Oshanin, G ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

RANDOM PROCESSES;

ASYMPTOTIC BEHAVIORS; D-DIMENSIONAL REGULAR LATTICES; DIFFUSION-LIMITED REACTIONS; INTRINSIC REACTIVITY; LOWER AND UPPER BOUNDS; MOMENT GENERATING FUNCTION; PSEUDO-FIRST-ORDER REACTION; SURVIVAL PROBABILITIES;

ELEMENTARY PARTICLE SOURCES;

EID: 0038539765     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.3388     Document Type: Article

References (35)

1. M. F. Perutz and F. S. Mathews, J. Mol. Biol. 21, 199 (1966).
2. M. O. Caceres, C. E. Budde, and M. A. Re, Phys. Rev. E 52, 3462 (1995).
3. T. Pálszegi, I. M. Sokolov, and H. F. Kaufmann, Macromolecules 31, 2521 (1998).
4. N. Agmon and S. Rabinovich, J. Chem. Phys. 97, 7270 (1992).
5. R. Zwanzig, J. Phys. Chem. 97, 3587 (1992).
6. J. Wang and P. Wolynes, Chem. Phys. 180, 141 (1994).
7. N. Eizenberg and J. Klafter, Chem. Phys. Lett. 243, 9 (1995).
8. J. L. Spouge, J. Virology 68, 1782 (1994).
9. J. A. McCammon and S. H. Northrup, Nature (London) 293, 316 (1981).
10. M. von Smoluchowski, Z. Phys. Chem. 92, 129 (1917).
11. A. Szabo, D. Shoup, S. H. Northrup, and J. A. McCammon, J. Chem. Phys. 77, 4484 (1982).
12. H.-X. Zhou and A. Szabo, J. Phys. Chem. 100, 2597 (1996).
13. A. M. Berezhkovskii, D.-Y. Yang, S. H. Lin, Yu. A. Makhnovskii, and S.-Y. Sheu, J. Chem. Phys. 106, 6985 (1997).
14. J. L. Spouge, A. Szabo, and G. H. Weiss, Phys. Rev. E 54, 2248 (1996).
15. Yu. A. Makhnovskii, A. M. Berezhkovskii, S.-Y. Sheu, D.-Y. Yang, J. Kuo, and S. H. Lin, J. Chem. Phys. 108, 971 (1998).
16. A. M. Berezhkovskii, D.-Y. Yang, S.-Y. Sheu, and S. H. Lin, Phys. Rev. E 54, 4462 (1996).
17. D. Calef and J. M. Deutch, Annu. Rev. Phys. Chem. 34, 493 (1983)
18. G. H. Weiss, J. Stat. Phys. 42, 3 (1986).
19. G. Oshanin, M. Moreau, and S. F. Burlatsky, Adv. Colloid Interface Sci. 49, 1 (1994).
20. A. Blumen, G. Zumofen, and J. Klafter, Phys. Rev. B 30, 5379 (1984).
21. A. Blumen, J. Klafter, and G. Zumofen, in Optical Spectroscopy of Glasses, edited by I. Zschokke (Reidel, Dordrecht, 1986).
22. S. F. Burlatsky and A. A. Ovchinnikov, Zh. Éksp. Teor. Fiz. 92, 1618 (1987) [Sov. Phys. JETP 65, 908 (1987)].
23. A. Szabo, R. Zwanzig, and N. Agmon, Phys. Rev. Lett. 61, 2496 (1989).
24. S. Redner and K. Kang, J. Phys. A 17, L451 (1984).
25. H. B. Rosenstock, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 9, 169 (1961)
26. H. B. RosenstockPhys. Rev. 187, 1166 (1969).
27. B. D. Hughes, Random Walks and Random Environments, (Oxford Science Publishers, Oxford, 1995).
28. B. Duplantier, G. F. Lawler, J. F. Le Gall, and T. J. Lyons, Bull. Sci. Math 117, 91 (1993).
29. G. F. Lawler, Intersections of Random Walks (Birkhäuser, Boston, 1991).
30. S. K. Nechaev, Int. J. Mod. Phys. B 4, 1809 (1990);Statistics of Knots and Entangled Random Walks (WSPC, Singapore, 1996).
31. B. Ya. Balagurov and V. T. Vaks, Zh. Éksp. Teor. Fiz. 65, 1939 (1973) [Sov. Phys. JETP 65, 1939 (1973)].
32. M. D. Donsker and S. R. S. Varadhan, Commun. Pure Appl. Math. 28, 525 (1975).
33. F. Collins and G. Kimball, J. Colloid Sci. 4, 425 (1949).
34. G. Oshanin and A. Blumen, J. Chem. Phys. 108, 1140 (1998).
35. S. F. Burlatsky, A. A. Ovchinnikov, and G. Oshanin, Zh. Éksp. Teor. Fiz. 95, 1993 (191989) [Sov. Phys. JETP 68, 1153 (1989)].