Kinetics of subdiffusion-assisted reactions: Non-Markovian stochastic Liouville equation approach

New Journal of Physics

Volumn 7, Issue , 2005, Pages

  Shushin, A I ^a  

^a SEMENOV INSTITUTE OF CHEMICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS-TIME RANDOM-WALK (CTRW); REACTION RATE; STOCHASTIC LIOUVILLE EQUATION (SLE); TIME-DEPENDENCE;

BIOMATERIALS; DIFFUSION; MARKOV PROCESSES; PROBABILITY DISTRIBUTIONS;

REACTION KINETICS;

EID: 23244460401     PISSN: 13672630     EISSN: 13672630     Source Type: Journal    
DOI: 10.1088/1367-2630/7/1/021     Document Type: Article

References (24)

1. Blumen A, Klafter J and Zumofen G 1986 Optical Spectroscopy of Glasses ed I Zschokke (Dordrecht: Riedel) p 199
2. Weiss G H 1994 Aspects and Applications of the Random Walk (Amsterdam: North-Holland)
3. Rice S A 1985 Diffusion-limited Reactions (Amsterdam: Elsevier)
4. Bouchaud J-B and Georges A 1990 Phys. Rep. 195 12
5. Metzler R and Klafter J 2000 Phys. Rep. 339 1
6. Scher H and Montroll E W 1975 Phys. Rev. B 12 2455
7. Pfister G and Scher H 1978 Adv. Phys. 27 747
8. Seki K, Wojcik M and Tachiya M 2003 J. Chem. Phys. 119 2165
9. Balakrishnan V 1985 Physica A 132 569
10. Schneider W R and Wyss W 1989 J. Math. Phys. 30 134
11. Barkai E, Metzler R and Klafter J 2000 Phys. Rev. E 61 132
12. Yuste S B and Lindenberg K 2001 Phys. Rev. Lett. 87 118301
13. Sung J, Barkai E, Silbey R J and Lee S 2002 J. Chem. Phys. 116 2338
14. Shushin A I 2001 Phys. Rev. E 64 051108
15. Shushin A I 2003 Phys. Rev. E 67 061107
16. Shushin A I and Sakun V P 2004 Physica A 340 283
17. Kubo R 1963 J. Math. Phys. 4 174
18. Ovchinnikov A A, Timashev S F and Belyi A A 1986 Kinetics of Diffusion-Controlled Chemical Processes (Moscow: Chemistry)
19. Abragam A 1961 The Principles of Nuclear Magnetism (Oxford: Clarendon)
20. Gardiner C W 1985 Handbook of Stochastic Methods (New York: Springer)
21. Erdélyi A (ed) 1955 Higher Transcendental Functions (Bateman Manuscript Project vol 1) (New York: McGraw-Hill)
22. Glöckle W G and Nonnenmacher T F 1994 Reol. Acta 33 337
23. Shushin A I 1988 Mol. Phys. 64 65
24. Shushin A I 1999 J. Chem. Phys. 110 12044