Propagating fronts in reaction-transport systems with memory

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

Volumn 371, Issue 5-6, 2007, Pages 374-378

  Yadav, A ^a   Fedotov, Sergei ^b   Méndez, Vicenç ^c   Horsthemke, Werner ^a  

^a SOUTHERN METHODIST UNIVERSITY   (United States)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

^c UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

Memory kernel; Propagating front; Reaction transport system; Subdiffusion

Indexed keywords

ANALYTICAL EXPRESSIONS; MEMORY KERNELS; PROPAGATING FRONTS; REACTION-TRANSPORT SYSTEMS; SUBDIFFUSION;

EID: 36048991111     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.06.044     Document Type: Article

References (34)

1. Cross M.C., and Hohenberg P.C. Rev. Mod. Phys. 65 (1993) 851
2. Murray J.D. Mathematical Biology II: Spatial Models and Biomedical Applications (2003), Springer, New York
3. In: Field R.J., and Burger M. (Eds). Oscillations and Traveling Waves in Chemical Systems (1985), Wiley, New York
4. Fife P.C. Mathematical Aspects of Reacting and Diffusing Systems. Lecture Notes in Biomathematics vol. 28 (1979), Springer-Verlag, Berlin
5. Horsthemke W. Phys. Lett. A 263 (1999) 285
6. Fort J., and Méndez V. Phys. Rev. Lett. 82 (1999) 867
7. Fort J., and Méndez V. Phys. Rev. Lett. 89 (2002) 178101
8. Ortega-Cejas V., Fort J., and Méndez V. Ecology 85 (2004) 258
9. Manne K.K., Hurd A.J., and Kenkre V.M. Phys. Rev. E 61 (2000) 4177
10. Abramson G., Bishop A.R., and Kenkre V.M. Phys. Rev. E 64 (2001) 066615
11. Fedotov S., and Méndez V. Phys. Rev. E 66 (2002) 030102
12. del-Castillo-Negrete D., Carreras B.A., and Lynch V.E. Phys. Rev. Lett. 91 (2002) 018302
13. Fedotov S., and Okuda Y. Phys. Rev. E 66 (2002) 021113
14. Méndez V., Ortega-Cejas V., and Casas-Vázquez J. Eur. Phys. J. 53 (2006) 503
15. Méndez V., Fedotov S., and Horsthemke W. Europhys. Lett. 77 (2007) 58006
16. Joseph D.D., and Preziosi L. Rev. Mod. Phys. 61 (1989) 41
17. Yadav A., and Horsthemke W. Phys. Rev. E 74 (2006) 066118
18. Vlad M.O., and Ross J. Phys. Rev. E 66 (2002) 061908
19. Breuer H.P., Huber W., and Petruccione F. Physica D 73 (1994) 259
20. Mai J., Sokolov I.M., and Blumen A. Phys. Rev. Lett. 77 (1996) 4462
21. Brunet E., and Derrida B. Phys. Rev. E 56 (1997) 2597
22. Kessler D.A., Ner Z., and Sanders L.M. Phys. Rev. E 58 (1998) 107
23. Callaghan T., Khain E., Sander L.M., and Ziff R.M. J. Stat. Phys. 122 (2006) 909
24. Fisher R. Ann. Eugen. 7 (1937) 355
25. Kolmogorov A.N., Petrovskii I.G., and Piskunov N.S. Univ. Bull. Math. Ser. A 1 (1937) 1
26. Schlögl F. Z. Phys. 253 (1972) 147
27. Méndez V., Campos D., and Fedotov S. Phys. Rev. E 70 (2004) 036121
28. van Saarloos W. Phys. Rev. A 39 (1989) 6367
29. van Saarlos W. Phys. Rep. 386 (2003) 29
30. Fedotov S., and Iomin A. Phys. Rev. Lett. 98 (2007) 118101
31. Scalas E., Gorenflo R., and Mainardi F. Phys. Rev. E 69 (2004) 011107
32. Fedotov S. Phys. Rev. E 58 (1998) 5143
33. Metzler R., and Klafter J. Phys. Rep. 339 (2000) 1
34. Koztołowicz T., Dworecki K., and Mrówczyński St. Phys. Rev. E 71 (2005) 041105