Mesoscopic description of reactions for anomalous diffusion: A case study

Journal of Physics Condensed Matter

Volumn 19, Issue 6, 2007, Pages

  Schmidt, M G W ^a,b   Sagues F ^b   Sokolov, I M ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

^b UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CONCENTRATION (PROCESS); DIFFUSION; MARKOV PROCESSES; RANDOM PROCESSES;

REACTION ANOMALOUS DIFFUSION EQUATIONS; REACTION DIFFUSION EQUATIONS; TIME PROBABILITY DENSITIES;

REACTION KINETICS;

EID: 33947575127     PISSN: 09538984     EISSN: 1361648X     Source Type: Journal    
DOI: 10.1088/0953-8984/19/6/065118     Document Type: Article

References (26)

1. Metzler R and Klafter J 2000 Phys. Rep. 339 1
2. Metzler R and Klafter J 2004 J. Phys. A: Math. Gen. 37 R161
3. Sokolov I M, Mai J and Blumen A 1997 Phys. Rev. Lett. 79 857
4. Sokolov I M, Mai J and Blumen A 1998 J. Lumin. 76 377
5. Brockmann D and Geisel T 2003 Phys. Rev. Lett. 90 170601
6. Brockmann D and Geisel T 2003 Phys. Rev. Lett. 91 048303
7. Lomholt M A, Ambjornsson T and Metzler R 2005 Phys. Rev. Lett. 95 260603
8. Gorenflo R and Mainardi F 2000 Problems in Mathematical Physics ed J Elschner, I Gohberg and B Silberman (Basel: Birkhäuser) pp120-45
9. Samko S G, Kilbas A A and Marichev O I 1993 Fractional Integrals and Derivatives, Theory and Applications (Amsterdam: Gordon and Breach)
10. Metzler R and Klafter J 2000 Chem. Phys. Lett. 321 238
11. Sung J, Barkai E, Silbey R and Lee S 2002 J. Chem. Phys. 116 2338
12. Sung J and Silbey R 2003 Phys. Rev. Lett. 91 160601
13. Seki K, Wojcik M and Tachiya M 2003 J. Chem. Phys. 119 2165
14. Seki K, Wojcik M and Tachiya M 2003 J. Chem. Phys. 119 7525
15. Yuste S and Lindenberg K 2005 Phys. Rev. E 72 061103
16. Yuste S and Lindenberg K 2001 Phys. Rev. Lett. 87 118301
17. Henry B J and Wearne S L 2000 Physica A 286 448
18. Henry B J and Wearne S L 2002 SIAM J. Appl. Math. 62 870
19. Henry B I, Langlands T A M and Wearne S L 2005 Phys. Rev. E 72 026101
20. Mancinelli1 R, Vergni D and Vulpiani A 2002 Europhys. Lett. 60 532
21. del-Castillo-Negrete D, Carreras B A and Lynch V E 2003 Phys. Rev. Lett. 91 018302
22. Zanette D H 1997 Phys. Rev. E 55 1181
23. Sokolov I M, Schmidt M G W and Sagués F 2006 Phys. Rev. E 73 031102
24. Henry B I, Langlands T A M and Wearne S L 2006 private communication
25. Metzler R, Barkai E and Klafter J 1999 Europhys. Lett. 46 431
26. Yuste S B and Acedo L 2005 SIAM J. Numer. Anal. 42 1862