Escape time statistics for mushroom billiards

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 6, 2007, Pages

  Miyaguchi, Tomoshige ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC SYSTEMS; PARAMETER ESTIMATION; STATISTICS;

MUSHROOM BILLIARDS; STATISTICAL PROPERTIES; TIME DISTRIBUTION;

SYSTEMS ANALYSIS;

EID: 34547351499     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.066215     Document Type: Article

References (27)

1. D. Ruelle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.405 56, 405 (1986).
2. P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge University Press, Cambridge, 1998).
3. J. R. Dorfman, An Introduction to Chaos in Non-equilibrium Statistical Mechanics (Cambridge University Press, Cambridge, 1999).
4. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics, 2nd ed. (Springer-Verlag, Berlin, 1992).
5. C. F. F. Karney, Physica D PDNPDT 0167-2789 10.1016/0167-2789(83)90232-4 8, 360 (1983).
6. R. S. Mackay, J. D. Meiss, and I. C. Percival, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)00218-8 13, 55 (1984).
7. B. V. Chirikov and D. L. Shepelyansky, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(00)00016-6 13, 395 (1984).
8. T. Geisel, A. Zacherl, and G. Radons, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.59.2503 59, 2503 (1987).
9. T. H. Solomon, E. R. Weeks, and H. L. Swinney, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.3975 71, 3975 (1993).
10. P. Manneville and Y. Pomeau, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(79)90255-X 75A, 1 (1979).
11. Y. Pomeau and P. Manneville, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01197757 74, 189 (1980).
12. T. Geisel and S. Thomae, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52.1936 52, 1936 (1984).
13. Y. Aizawa, Y. Kikuchi, T. Harayama, K. Yamamoto, M. Ota, and K. Tanaka, Prog. Theor. Phys. Suppl. PTPSEP 0375-9687 98, 36 (1989).
14. S. Tasaki and P. Gaspard, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1020479002249 109, 803 (2002).
15. R. Artuso and G. Cristadoro, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/1/006 37, 85 (2004).
16. T. Miyaguchi and Y. Aizawa, e-print arXiv:nlin.CD/0702032 (unpublished).
17. L. A. Bunimovich, Chaos CHAOEH 1054-1500 10.1063/1.1418763 11, 802 (2001).
18. J. Malovrh and T. Prosen, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/10/312 35, 2483 (2002).
19. L. A. Bunimovich, Chaos CHAOEH 1054-1500 10.1063/1.1598411 13, 903 (2003).
20. E. G. Altmann, A. E. Motter, and H. Kantz, Chaos CHAOEH 1054-1500 10.1063/1.1979211 15, 033105 (2005).
21. E. G. Altmann, A. E. Motter, and H. Kantz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.026207 73, 026207 (2006).
22. H. Tanaka and A. Shudo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.036211 74, 036211 (2006).
23. B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, T. H. Seligman, and K. Zapfe, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.056207 74, 056207 (2006).
24. M. J. Davis and S. K. Gray, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.449948 84, 5389 (1986).
25. H. Waalkens, A. Burbanks, and S. Wiggins, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.084301 95, 084301 (2005).
26. C. Jaffé, D. Farrelly, and T. Uzer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.610 84, 610 (2000).
27. D. Beigie, A. Leonard, and S. Wiggins, Chaos, Solitons Fractals CSFOEH 0960-0779 10.1016/0960-0779(94)90128-7 4, 749 (1994).