Aging in models of nonlinear diffusion

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

Volumn 55, Issue 4, 1997, Pages 4806-4809

  Stariolo, Daniel A ^a,b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b INFN SEZIONE DI ROMA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243230287     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.4806     Document Type: Article

References (26)

1. J P. Bouchaud and A. Georges, Phys. Rep.195, 127 (1990).
2. G. Zumofen, J. Klafter, and A. Blumen, in Disorder Effects on Relaxational Processes, edited by R. Richert and A. Blumen (Springer-Verlag, Berlin, 1994).
3. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Reading, MA, 1992).
4. C. Tsallis and D J. Bukman, Phys. Rev. E54, R2197 (1996).
5. D G. Aronson, in Non-Linear Diffusion Problems, edited by A. Fasano and M. Primicerio, Lecture Notes in Mathematics Vol. 1224 (Springer-Verlag, Berlin, 1986), and references therein.
6. J. G. Berryman J. Math. Phys. 18, 2108 (1977).
7. Y. B. Zeldovich and Y. P. Raiser, Physics of Shock Waves and High-temperature Hydrodynamic Phenomena (Academic, New York, 1966), Vol. II.
8. A R. Plastino and A. Plastino, Physica A222, 347 (1995).
9. H. Spohn, J. Phys. (France) I3, 69 (1993).
10. A. Compte and D. Jou, J. Phys. A29, 4321 (1996).
11. C. Tsallis, J. Stat. Phys.52, 479 (1988);
12. E. M. F. Curado and C. Tsallis, J. Phys. A24, L69 (1991);
13. Corrigenda, ibid.24, 3187 (1991);
14. E. M. F. Curado and C. Tsallis, J. Phys. A25, 1019 (1992).
15. C. Tsallis, A. M. C. de Souza, and R. Maynard, in Lévy Flights and Related Topics in Physics, edited by M. F. Shlesinger, G. M. Zaslavsky, and U. Frisch, Lecture Notes in Physics Vol. 450 (Springer-Verlag, Berlin, 1995);
16. C. Tsallis, S. V. F. Levy, A. M. C. de Souza and R. Maynard, Phys. Rev. Lett.75, 3589 (1995).
17. P A. Alemany and D H. Zanette, Phys. Rev. E49, R956 (1994);
18. D H. Zanette and P A. Alemany, Phys. Rev. Lett.75, 366 (1995).
19. L. C. E. Struik, Physical Aging in Amorphous Polymers and other Materials (Elsevier, Houston, 1978).
20. E. Vincent, J. Hammann, M. Ocio, J. P. Bouchaud, and L. F. Cugliandolo, Report No. SPEC-SACLAY-96/048, 1996.
21. L. Cugliandolo, J. Kurchan and G. Parisi, J. Phys. (France) I4, 1691 (1994).
22. E. Marinari and G. Parisi, J. Phys. A26, L1149 (1993).
23. J P. Bouchaud, A. Comtet, A. Georges and P. Le Doussal, Ann. Phys. (N.Y.)201, 285 (1990).
24. L F. Cugliandolo and J. Kurchan, Phys. Rev. Lett.71, 173 (1993);
25. J. Phys. A27, 5749 (1994).
26. An interesting discussion of this and related questions can be found in Ref. 3 in the framework of the renormalization group.