Time-oscillating lyapunov modes and the momentum autocorrelation function

Physical Review Letters

Volumn 94, Issue 15, 2005, Pages

  Taniguchi, Tooru ^a   Morriss, Gary P ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

LYAPUNOV SPECTRA; MANY PARTICLE SYSTEMS; MOMENTUM AUTOCORRELATION FUNCTIONS; TIME OSCILLATING LYAPUNOV MODES;

APPROXIMATION THEORY; BOUNDARY CONDITIONS; FUNCTIONS; LYAPUNOV METHODS; MATHEMATICAL MODELS; VECTORS;

CHAOS THEORY;

EID: 18144428769     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.154101     Document Type: Article

References (28)

1. P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge University Press, Cambridge, England, 1998).
2. J. R. Dorfman, An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University Press, Cambridge, 1999).
3. U. Dressier, Phys. Rev. A 38, 2103 (1988); D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. A 42, 5990 (1990); C. P. Dettmann and G. P. Morriss, Phys. Rev. E 53, R5545 (1996); T. Taniguchi and G. P. Morriss, Phys. Rev. E 66, 066203 (2002).
4. U. Dressier, Phys. Rev. A 38, 2103 (1988); D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. A 42, 5990 (1990); C. P. Dettmann and G. P. Morriss, Phys. Rev. E 53, R5545 (1996); T. Taniguchi and G. P. Morriss, Phys. Rev. E 66, 066203 (2002).
5. U. Dressier, Phys. Rev. A 38, 2103 (1988); D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. A 42, 5990 (1990); C. P. Dettmann and G. P. Morriss, Phys. Rev. E 53, R5545 (1996); T. Taniguchi and G. P. Morriss, Phys. Rev. E 66, 066203 (2002).
6. U. Dressier, Phys. Rev. A 38, 2103 (1988); D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. A 42, 5990 (1990); C. P. Dettmann and G. P. Morriss, Phys. Rev. E 53, R5545 (1996); T. Taniguchi and G. P. Morriss, Phys. Rev. E 66, 066203 (2002).
7. Ch. Dellago, H. A. Posch, and W. G. Hoover, Phys. Rev. E 53, 1485 (1996).
8. H. A. Posch and R. Hirschl, in Hard Ball Systems and the Lorentz Gas, edited by D. Szász (Springer, Berlin, 2000), p. 279.
9. T. Taniguchi and G. P. Morriss, Phys. Rev. E 68, 026218 (2003).
10. C. Forster, R. Hirschl, H. A. Posch, and W. G. Hoover, Physica D (Amsterdam) 187, 294 (2004).
11. J.-P. Eckmann, C. Forster, H. A. Posch, and E. Zabey, J. Stat. Phys. 118, 813 (2005).
12. H. Yang and G. Radons, Phys. Rev. E 71, 036211 (2005).
13. C. Forster and H. A. Posch, New J. Phys. 7, 32 (2005).
14. J.-P. Eckmann and O. Gat, J. Stat. Phys. 98, 775 (2000).
15. T. Taniguchi and G. P. Morriss, Phys. Rev. E 65, 056202 (2002).
16. S. McNamara and M. Mareschal, Phys. Rev. E 64, 051103 (2001); A. S. de Wijn and H. van Beijeren, Phys. Rev. E 70, 016207 (2004).
17. S. McNamara and M. Mareschal, Phys. Rev. E 64, 051103 (2001); A. S. de Wijn and H. van Beijeren, Phys. Rev. E 70, 016207 (2004).
18. T. Taniguchi, C. P. Dettmann, and G. P. Morriss, J. Stat. Phys. 109, 747 (2002).
19. T. Taniguchi and G. P. Morriss, Phys. Rev. E 71, 016218 (2005).
20. A. Rahman, Phys. Rev. Lett. 19, 420 (1967);
21. W. E. Alley, B. J. Alder, and S. Yip, Phys. Rev. A 27, 3174 (1983).
22. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic press, London, 1990), 2nd ed.
23. R. Zwanzig, Phys. Rev. 156, 190 (1967).
24. T. Taniguchi and G. P. Morriss, Phys. Rev. E 68, 046203 (2003).
25. T. Taniguchi and G. P. Morriss (unpublished).
26. J. R. D. Copley and S. W. Lovesey, Rep. Prog. Phys. 38, 461 (1975); W. Schaertl and C. Roos, Phys. Rev. E 60, 2020 (1999).
27. J. R. D. Copley and S. W. Lovesey, Rep. Prog. Phys. 38, 461 (1975); W. Schaertl and C. Roos, Phys. Rev. E 60, 2020 (1999).
28. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II, Nonequilibrium Statistical Mechanics (Springer-Verlag, Berlin, 1985).