Persistence effects in deterministic diffusion

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

Volumn 80, Issue 4, 2009, Pages

  Gilbert, Thomas ^a   Sanders, David P ^b  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSED MATTER PHYSICS; PHYSICS;

A-PARTICLES; DECAY OF CORRELATIONS; MEMORY EFFECTS; PARAMETER DEPENDENCE; RANDOM WALK MODELS;

DIFFUSION;

EID: 70350616277     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.041121     Document Type: Article

References (20)

1. S. Chandrasekar, Rev. Mod. Phys. 15, 1 (1943). 10.1103/RevModPhys.15.1
2. P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge University Press, Cambridge, England, 1998).
3. J. R. Dorfman, An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University Press, Cambridge, England, 1999).
4. R. Klages, Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics (World Scientific, Singapore, 2007).
5. L. A. Bunimovich and Ya. Sinai, Commun. Math. Phys. 78, 247 (1980) 10.1007/BF01942372
6. L. A. Bunimovich and Ya. Sinai, Commun. Math. Phys. 78, 479 (1981). 10.1007/BF02046760
7. J. Machta and R. Zwanzig, Phys. Rev. Lett. 50, 1959 (1983). 10.1103/PhysRevLett.50.1959
8. R. Klages and C. Dellago, J. Stat. Phys. 101, 145 (2000). 10.1023/A:1026445601619
9. R. Klages and N. Korabel, J. Phys. A 35, 4823 (2002). 10.1088/0305-4470/35/23/302
10. A. B. Adib, Phys. Rev. E 77, 021118 (2008). 10.1103/PhysRevE.77.021118
11. N. Chernov and R. Markarian, Chaotic Billiards, Math. Surveys and Monographs Vol. 127 (AMS, Providence, RI, 2006).
12. R. Zwanzig, J. Stat. Phys. 30, 255 (1983). 10.1007/BF01012300
13. B. D. Hughes, Random Walks and Random Environments, Random Walks Vol. 1 (Clarendon Press, Oxford, 1995).
14. G. H. Weiss and R. J. Rubin, Adv. Chem. Phys. 52, 363 (1983). 10.1002/9780470142769.ch5
15. J. W. Haus and K. W. Kehr, Phys. Rep. 150, 263 (1987). 10.1016/0370-1573(87)90005-6
16. G. H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
17. T. Gilbert and D. Sanders, e-print arXiv:0908.1271.
18. P. Gaspard and T. Gilbert, Phys. Rev. Lett. 101, 020601 (2008). 10.1103/PhysRevLett.101.020601
19. T. Gilbert and R. Lefevere, Phys. Rev. Lett. 101, 200601 (2008). 10.1103/PhysRevLett.101.200601
20. The exponential decay of correlations has been proved in the periodic Lorentz gas, see N. Chernov and L.-S. Young, in Hard Ball Systems and the Lorentz Gas, edited by, D. Szasz, Encyclopaedia of Mathematical Sciences Vol. 101 (Springer, New York, 2000), p. 89.