Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering

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

Volumn 65, Issue 3, 2002, Pages

  Rateitschak, K ^a   Klages, R ^b  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; KINETIC ENERGY; LYAPUNOV METHODS; MATHEMATICAL MODELS; THERMODYNAMICS; THERMOSTATS; VECTORS;

DETERMINISTIC SCATTERING; DYNAMICAL SYSTEMS THEORY; MICROSCOPIC CHAOTIC DYNAMICS; PERIODIC LORENTZ GAS;

GASES;

EID: 41349088119     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.036209     Document Type: Article

References (43)

1. D. J. Evans and G. P. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Academic Press, London, 1990).
2. W. G. Hoover, Computational Statistical Mechanics (Elsevier, Amsterdam, 1991).
3. G. P. Morriss and C. P. Dettmann, Chaos 8, 321 (1998).
4. R. Klages, K. Rateitschak, and G. Nicolis, Phys. Rev. Lett. 84, 4268 (2000).
5. W. G. Hoover, A. J. C. Ladd, and B. Moran, Phys. Rev. Lett. 48, 1818 (1982).
6. D. J. Evans, J. Chem. Phys. 78, 3297 (1983).
7. D. J. Evans, Phys. Rev. A 28, 1016 (1983).
8. S. Nosé, J. Chem. Phys. 81, 511 (1984).
9. W. G. Hoover, Phys. Rev. A 31, 1695 (1985).
10. D. J. Evans and B. L. Holian, J. Chem. Phys. 83, 4069 (1985).
11. B. Moran and W. G. Hoover, J. Stat. Phys. 48, 709 (1987).
12. B. L. Holian, W. G. Hoover, and H. A. Posch, Phys. Rev. Lett. 59, 10 (1987).
13. W. G. Hoover, Phys. Rev. A 37, 252 (1988).
14. W. G. Hoover, Time Reversibility, Computer Simulation, and Chaos (World Scientific, Singapore, 1999).
15. W. G. Hoover and B. Moran, Phys. Rev. A 40, 5319 (1989).
16. G. P. Morriss, Phys. Lett. A 134, 307 (1989).
17. H. A. Posch and W. G. Hoover, Phys. Rev. A 38, 473 (1988).
18. N. I. Chernov, G. L. Eyink, J. L. Lebowitz, and Y. G. Sinai, Phys. Rev. Lett. 70, 2209 (1993).
19. N. L. Chernov, C. L. Eyink, J. L. Lebowitz, and Y. G. Sinai, Commun. Math. Phys. 154, 569 (1993).
20. D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. A 42, 5990 (1990).
21. C. Dellago, L. Glatz, and H. A. Posch, Phys. Rev. E 52, 4817 (1995).
22. J. Lloyd, L. Rondoni, and G. P. Morriss, Phys. Rev. E 50, 3416 (1994).
23. J. Lloyd, M. Niemeyer, L. Rondoni, and G. P. Morriss, Chaos 5, 536 (1995).
24. C. P. Dettmann and G. P. Morriss, Phys. Rev. E 54, 4782 (1996).
25. K. Rateitschak, R. Klages, and W. G. Hoover, J. Stat. Phys. 101, 61 (2000).
26. C. P. Dettmann, in Hard Ball Systems and the Lorentz Gas, edited by D. Szasz, Springer Series in Encyclopedia of Mathematical Sciences (Springer, Berlin, 2000).
27. K. Rateitschak, R. Klages, and G. Nicolis, J. Stat. Phys. 99, 1339 (2000).
28. C. Wagner, R. Klages, and G. Nicolis, Phys. Rev. E 60, 1401 (1999).
29. C. Dellago, H. A. Posch, and W. G. Hoover, Phys. Rev. E 53, 1485 (1996).
30. C. Wagner, J. Stat. Phys. 98, 723 (2000).
31. H. Schuster, Deterministic Chaos, 2nd ed. (VCH Verlagsgesellschaft mbH, Weinheim, 1989).
32. J.-P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57, 617 (1985).
33. G. Benettin, L. Galgani, A. Giorgili, and J.-M. Strelcyn, Meccanica 15, 9 (1980).
34. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, Physica D 16, 285 (1985).
35. C. Dellago and H. A. Posch, Phys. Rev. E 52, 2401 (1995).
36. P. Gaspard, Chaos, Scattering, and Statistical Mechanics (Cambridge University Press, Cambridge, 1998).
37. K. Rateitschak and R. Klages (unpublished).
38. C. Dellago and W. G. Hoover, Phys. Lett. A 268, 330 (2000).
39. P. Gaspard (unpublished).
40. G. Morriss, C. P. Dettmann, and D. J. Isbister, Phys. Rev. E 54, 4748 (1996).
41. C. P. Dettmann, G. P. Morriss, and L. Rondoni, Phys. Rev. E 52, R5746 (1995).
42. H. A. Posch and W. G. Hoover, Phys. Rev. A 39, 2175 (1989).
43. R. Klages and K. Rateitschak (unpublished).