Lyapunov instability in a system of hard disks in equilibrium and nonequilibrium steady states

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

Volumn 53, Issue 2, 1996, Pages 1485-1501

  Dellago, Ch ^a   Posch, H A ^a   Hoover, W G ^b  

^a INSTITUT FÜR EXPERIMENTALPHYSIK   (Austria)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5344252330     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.1485     Document Type: Article

References (49)

1. B. J. Alder and T. E. Wainwright, J. Chem. Phys. 33, 1439 (1960).
2. B. J. Alder and T. E. Wainwright, J. Chem. Phys. 31, 459 (1959).
3. B. J. Alder, in Molecular Dynamics Simulations of Statistical Mechanical Systems, Proceedings of the International School of Physics ``Enrico Fermi, '' Course XCVII, Varenna, 1985, edited by G. Ciccotti and W. G. Hoover (North Holland, Amsterdam, 1986).
4. W. G. Hoover and H. A. Posch, Phys. Rev. E 51, 273 (1995).
5. H. A. Posch and W. G. Hoover, in Molecular Liquids: New Perspectives in Physics and Chemistry, Vol. 379 of NATO Advanced Study Institute, Series C, edited by J. J. C. Teixeira Dias (Kluwer Academic, Dordrecht, 1992), p. 527.
6. D. J. Evans, E. G. D. Cohen and G. P. Morriss, Phys. Rev. A 42, 5990 (1990)
7. B. J. Alder and T. E. Wainwright, Phys. Rev. 127, 359 (1962).
8. B. J. Alder and T. E. Wainwright, J. Chem. Phys. 27, 1208 (1957).
9. D. V. Anosov and Ya. G. Sinai, Russ. Math. Surv. 22, 103 (1967).
10. Ya. G. Sinai, Russ. Math. Surv. 25, 137 (1970).
11. V. I. Arnold and A. Avez, Ergodic Problems of Classical Mechanics (Benjamin, New York, 1968).
12. W. G. Hoover, Computational Statistical Mechanics (Elsevier, Amsterdam, 1991).
13. G. Benettin, L. Galgani, A. Giorgilli and J. M. Strelcyn, Meccanica 15, 9 (1980).
14. A. Wolf, J. B. Swift, H. L. Swinney and J. A. Vastano, Physica D 16, 285 (1985).
15. W. G. Hoover and H. A. Posch, Phys. Rev. E 49, 1913 (1994).
16. V. I. Oseledec, Trans. Moscow Math. Soc. 19, 197 (1968).
17. S. Sarman, D. J. Evans and G. P. Morriss, Phys. Rev. A 45, 2233 (1992).
18. H. A. Posch and W. G. Hoover, Phys. Rev. A 38, 473 (1988).
19. Ch. Dellago and H. A. Posch, Phys. Rev. E. 52, 2401 (1995).
20. Ch. Dellago, L. Glatz and H. A. Posch, Phys. Rev. E 52, 4817 (1995).
21. J. Lloyd, M. Niemeyer, L. Rondoni and G. P. Morriss, Chaos 5, 536 (1995).
22. B. Moran and W. G. Hoover, J. Stat. Phys. 48, 709 (1987).
23. D. J. Evans, W. G. Hoover, B. H. Failor, B. Moran, and A. J. C. Ladd, Phys. Rev. A 28, 1016 (1983).
24. W. G. Hoover, C. G. Hoover and H. A. Posch, Phys. Rev. A 41, 2999 (1990).
25. W. G. Hoover, H. A. Posch and L. W. Campbell, Chaos 3, 325 (1993).
26. H. A. Posch, W. G. Hoover and B. L. Holian, Ber. Bunsenges. Phys. Chem. 94, 250 (1990).
27. I. Borszak, A. Baranyai, and H. A. Posch (unpublished).
28. Ch. Dellago and H. A. Posch (unpublished).
29. R. Livi, A. Politi and S. Ruffo, J. Stat. Phys. 19, 2033 (1986).
30. G. Paladin and A. Vulpiani, J. Phys. A 19, 1881 (1986).
31. Ja. B. Pesin, Sov. Math. Dokl. 17, 196 (1976).
32. Ya. G. Sinai and N. I. Chernov, in Dynamical Systems, edited by Ya. G. Sinai (World Scientific, Singapore, 1991), p. 373.
33. W. G. Hoover and B. J. Alder, J. Chem. Phys. 46, 686 (1966).
34. N. S. Krylov, in Works on the Foundations of Statistical Mechanics, edited by A. S. Wightman and P. W. Anderson (Princeton University Press, Princeton, 1979); Ya. G. Sinai, ibid., p. 239.
35. P. Gaspard and X. J. Wang, Phys. Rep. 235, 291 (1993).
36. H. van Beijeren and J. R. Dorfman, Phys. Rev. Lett. 74, 1319 (1995).
37. Ya. G. Sinai (unpublished).
38. W. G. Hoover, W. T. Ashurst and R. J. Olness, J. Chem. Phys. 60, 4043 (1974).
39. H. A. Posch and W. G. Hoover, Phys. Rev. A 39, 2175 (1989).
40. W. G. Hoover and O. Kum, J. Chem. Phys. 103, 1718 (1995).
41. J. Petravic, D. J. Isbister and G. P. Morris, J. Stat. Phys. 76, 1045 (1994).
42. W. G. Hoover, C. G. Hoover, W. J. Evans, B. Moran, J. A. Levatin, and E. A. Craig, in Microscopic Simulations of Complex Flows, Vol. 236 of NATO Advanced Study Institute, Series B: Physics, edited by M. Mareshal (Plenum, New York, 1990), p. 199.
43. W. G. Hoover and K. W. Kratky, J. Stat. Phys. 42, 1103 (1986).
44. F. J. Vesely, Computational Physics, An Introduction (Plenum Press, New York, 1994).
45. D. Gupalo, A. S. Kaganovich, and E. G. D. Cohen, J. Stat. Phys. 74, 1145 (1994).
46. D. J. Evans, R. M. Lynden Bell and G. P. Morriss, Mol. Phys. 67, 209 (1989).
47. E. G. D. Cohen, Physica A 213, 293 (1995).
48. S. D. Stoddard and J. Ford, Phys. Rev. A 8, 1504 (1973).
49. P. Gaspard and J. R. Dorfman, Phys. Rev. E. 52, 3525 (1995).