Maxwell’s demon as a dynamical model

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

Volumn 56, Issue 5, 1997, Pages 5310-5320

  Zaslavsky, G M ^a,b   Edelman, M ^a,b  

^a NEW YORK UNIVERSITY   (United States)

^b POLYTECHNIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY LAYERS; KINETIC THEORY; MATHEMATICAL MODELS; MONTE CARLO METHODS; PHASE EQUILIBRIA; PHASE SPACE METHODS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; STATISTICAL MECHANICS; THERMODYNAMICS;

BILLIARDLIKE SYSTEM; CHAOTIC DYNAMICS; ISLANDS; MAXWELL DEMON; PHASE SPACE SINGULARITIES; POINCARE RECURRENCES;

CHAOS THEORY;

EID: 0031276826     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.5310     Document Type: Article

References (45)

1. Maxwell’s Demon, edited by H. S. Leff and A. Rex (Princeton University Press, Princeton, NJ, 1990).
2. G M. Zaslavsky, Chaos5, 653 (1995).
3. I C. Percival, in Nonlinear Dynamics and the Beam-Beam Interaction, edited by M. Month and J. C. Kerrera, American Institute of Physics Conf. Proc. Vol. 57 (AIP, New York, 1979), p. 302;
4. S. Aubry, in Solitons and Condensed Matter Physics, edited by A. R. Bishop and T. Shneider (Springer-Verlag, New York, 1978), p. 264.
5. J D. Meiss and E. Ott, Physica D20, 387 (1986).
6. V. Melnikov, in Transport, Chaos, and Plasma Physics 2, edited by S. Benkadda, F. Doveil, and Y. Elskens (World Scientific, Singapore, 1996), p. 142.
7. G M. Zaslavsky, M. Edelman, and B. Niyazov, Chaos7, 159 (1997).
8. J D. Meiss, Phys. Rev. A34, 2375 (1986).
9. Rev. Mod. Phys.64, 795 (1992).
10. J D. Meiss, Physica D74, 254 (1994).
11. M F. Shlesinger, G M. Zaslavsky, and J. Klafter, Nature (London)363, 31 (1993).
12. G M. Zaslavsky, Physica D76, 110 (1994).
13. Chaos4, 25 (1994).
14. E W. Montroll and M F. Shlesinger, in Studies in Statistical Mechanics, edited by J. Lebowitz and E. Montroll (North-Holland, Amsterdam, 1984), Vol. 11, p. 1;
15. M F. Shlesinger, Physica D38, 304 (1989).
16. M F. Shlesinger, Annu. Rev. Phys. Chem.39, 269 (1988).
17. V. Afraimovich, Chaos7, 12 (1997).
18. V. Afraimovich and G M. Zaslavsky, Phys. Rev. E.55, 5418 (1997).
19. N S. Krylov, Works on the Foundation of Statistical Physics (Academy of Sciences, Leningrad, 1950) (English translation: Princeton University Press, Princeton, NJ, 1979).
20. Y G. Sinai, Dokl. Akad. Nauk SSSR153, 1261 (1963) [Sov. Math. 4, 1818 (1963)].
21. L A. Bunimovich and Y G. Sinai, Math. USSR-Sb.90, 407 (1973);
22. Commun. Math. Phys.78, 479 (1981).
23. Y G. Sinai, Usp. Mat. Nauk.25, 141 (1970).
24. B V. Chirikov and D L. Shepelyansky, Physica D13, 394 (1984).
25. W. Bauer and G F. Betsch, Phys. Rev. Lett.65, 2213 (1990).
26. O. Legrand and D. Sornette, Physica D44, 229 (1990).
27. G M. Zaslavsky and M. Tippett, Phys. Rev. Lett.67, 3251 (1991).
28. G M. Zaslavsky, Chaos in Dynamical Systems (Harwood Academic, New York, 1985).
29. P M. Bleher, J. Stat. Phys.66, 315 (1992).
30. R. Artuso, G. Casati, and I. Guarneri, Phys. Rev. E51, R3807 (1995).
31. J. Stat. Phys.83, 145 (1996).
32. P. Dahlquist and R. Artuso (unpublished).
33. V V. Afanasiev, R Z. Sagdeev, and G M. Zaslavsky, Chaos1, 143 (1991).
34. G M. Zaslavsky and B. Niyazov, Phys. Rep.283, 73 (1997).
35. S. Benkadda, S. Kassibrakis, R. White, and G. Zaslavsky, Phys. Rev. E55, 4909 (1997).
36. L A. Bunimovich, Y G. Sinai, and N I. Chernov, Russ. Math. Surv.46, 47 (1991).
37. J.-P. Bouchaud and P. Le Doussal, J. Stat. Phys.41, 225 (1984).
38. J. Machta, J. Stat. Phys.32, 555 (1983).
39. J. Machta and B. Reinhold, 42, 949 (1986);
40. J. Machta and R. Zwanzig, Phys. Rev. Lett.48, 1959 (1983).
41. B. Friedman and R. F. Martin, Jr., Phys. Lett.105A, 23 (1984).
42. A. Zacherl, T. Geisel, and J. Nierwetberg, Phys. Lett.114A, 317 (1986).
43. M. Kac, Probability and Related Topics in Physical Sciences, Boulder, Colorado, 1957 (Wiley Interscience, New York, 1958).
44. Y G. Sinai, Topics in Ergodic Theory (Princeton University Press, Princeton, NJ, 1994).
45. J D. Meiss, Chaos7, 39 (1997).