Deterministic walks in random environments

Physica D: Nonlinear Phenomena

Volumn 187, Issue 1-4, 2004, Pages 20-29

  Bunimovich, Leonid A ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Cellular automata; Deterministic walks; Lorentz lattice gases; Random environments; Random walks

Indexed keywords

DIFFUSION; HYDRODYNAMICS; MATHEMATICAL MODELS; PROBABILITY; STATISTICS; VISCOSITY;

LORENTZ LATTICE GASES; RANDOM WALKS;

TRANSPORT PROPERTIES;

EID: 0348156063     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2003.09.028     Document Type: Conference Paper

References (28)

1. Bunimovich L.A., Sinai Ya.G. Commun. Math. Phys. 78:1981;478.
2. Bunimovich L.A., Sinai Ya.G. Commun. Math. Phys. 78:1980;247.
3. Bunimovich L.A., Sinai Ya.G., Chernov N.I. Russ. Math. Surv. 45:1990;105.
4. Bunimovich L.A., Sinai Ya.G., Chernov N.I. Russ. Math. Surv. 46:1991;47.
5. Chernov N.I. J. Stat. Phys. 74:1994;11.
6. Bunimovich L.A., Spohn H. Commun. Math. Phys. 176:1996;661.
7. Bunimovich L.A. Sov. JETF. 89:1985;1452.
8. Bleher P.M. J. Stat. Phys. 66:1992;315.
9. Boldrighini C., Bunimovich L.A., Sinai Ya.G. J. Stat. Phys. 32:1983;477.
10. Sinai Ya.G. Theor. Probab. Appl. 27:1982;256.
11. Ruigrok T.W., Cohen E.G.D. Phys. Lett. A. 133:1988;435.
12. Mejia-Monasterio C., Larralde H., Leyvraz F. Phys. Rev. Lett. 86:2001;5417.
13. L.A. Bunimovich, M.A. Khlabystova, J. Stat. Phys. 112 (2003) 1207.
14. Bunimovich L.A., Troubetzkoy S.E. J. Stat. Phys. 72:1993;297.
15. Bunimovich L.A. Multiple-valued Logic. 6:2001;463.
16. Gunn J.M.F., Ortuño M. J. Phys. A. 18:1985;1095.
17. E.G.D. Cohen, in: M. Marechal, B.L. Holian (Eds.), Microscopic Simulations of Complex Hydrodynamic Phenomena, Plenum Press, New York, 1992.
18. L.A. Bunimovich, M.A. Khlabystova, in: A. Adamatzky (Ed.), Collision-based Computing, Springer, London, 2002.
19. Bunimovich L.A. Physica A. 279:2000;169.
20. Langton C. Physica D. 22:1986;120.
21. Bunimovich L.A., Troubetzkoy S.E. J. Stat. Phys. 67:1992;289.
22. L.A. Bunimovich, Asterisque, in press.
23. Grosfils P., Boon J.-P., Cohen E.G.D., Bunimovich L.A. J. Stat. Phys. 97:1999;375.
24. Bunimovich L.A., Khlabystova M.A. J. Stat. Phys. 104:2001;1155.
25. Boon J.P. J. Stat. Phys. 102:2001;355.
26. J.P. Boon, P. Grosfils, 2001. http://www.arxiv.org, arXiv:cond-mat/0108420.
27. Bunimovich L.A., Khlabystova M.A. J. Stat. Phys. 108:2002;905.
28. W. Feller, An Introduction to Probability Theory and its Applications, 2nd ed., Wiley, New York, 1971.