Slow logarithmic relaxation in models with hierarchically constrained dynamics

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 63, Issue 2 I, 2001, Pages 0211081-0211084

  Brey, J J ^a   Prados, A ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVATION ENERGY; ASYMPTOTIC STABILITY; CORRELATION METHODS; ENTHALPY; GIBBS FREE ENERGY; HIERARCHICAL SYSTEMS; INTEGRAL EQUATIONS; RELAXATION PROCESSES;

HIERARCHICALLY CONSTRAINED DYNAMICS; INTEGRAL EXPONENTIAL FUNCTIONS;

MOLECULAR DYNAMICS;

EID: 4243262764     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.021108     Document Type: Article

References (20)

1. P. Nordblad, P. Svedlindh, L. Lundgren, and L. Sandlund, Phys. Rev. B 33, 645 (1986).
2. E. I. Shakhnovich and A. M. Gutin, Europhys. Lett. 9, 569 (1989).
3. H. M. Jaeger, C.-h. Liu, and S. R. Nagel, Phys. Rev. Lett. 62, 40 (1989).
4. V. V. Bredikhin, V. A. Sidorov, O. B. Tsiok, E. V. Gurovich, and L. G. Khvostantsev, Europhys. Lett. 18, 111 (1992).
5. O. B. Tsiok, V. A. Sidorov, V. V. Bredikhin, L. G. Khvostantsev, V. N. Troitskiy, and L. I. Trusov, Phys. Rev. B 51, 12 127 (1995).
6. A. Mehta, R. J. Needs, and S. Dattagupta, J. Stat. Phys. 68, 1131 (1992).
7. O. B. Tsiok, V. Brazhkin, A. G. Lyapin, and L. G. Khovstant-sev, Phys. Rev. Lett. 80, 999 (1998).
8. L. Fabbian, W. Götze, F. Sciotino, P. Tartaglia, and F. Thiery, Phys. Rev. E 59, R1347 (1999).
9. V. G. Karpov and M. Grimsditch, Phys. Rev. B 48, 6941 (1993).
10. M. Skorobogatiy, H. Guo, and M. Zuckermann, J. Chem. Phys. 109, 2528 (1998).
11. A. Fernândez and G. Appignanesi, Phys. Rev. Lett. 78, 2668 (1997).
12. R. G. Palmer, D. L. Stein, E. Abrahams, and P. W. Andersen, Phys. Rev. Lett. 53, 958 (1984).
13. S. F. Edwards and R. B. S. Oakeshott, Physica A 157, 1080 (1989).
14. A. Mehta and S. F. Edwards, Physica A 157, 1091 (1989).
15. J. J. Brey, A. Prados, and B. Sanchez-Rey, Physica A 275, 310 (2000).
16. A. Prados, J. J. Brey, and B. Sanchez-Rey, Physica A 284, 277 (2000).
17. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965).
18. J. B. Knight, C. G. Frandich, C. N. Lau, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 51, 3957 (1995).
19. H. R. Nowak, J. B. Knight, E. Ben-Naim, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 57, 1971 (1998).
20. A. Prudos and J. J. Brey (unpublished).