Occurrence of normal and anomalous diffusion in polygonal billiard channels

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

Volumn 73, Issue 2, 2006, Pages

  Sanders, David P ^a,b   Larralde, Hernán ^a  

^a INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

^b UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; SCATTERING;

ANOMALOUS DIFFUSION; PERIODIC ORBITS; POLYGONAL BILLIARD CHANNELS; POWER-LAW;

DIFFUSION;

EID: 33344468216     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.026205     Document Type: Article

References (34)

1. Hard Ball Systems and the Lorentz Gas, Vol. 101 of Encyclopaedia of Mathematical Sciences, edited by, D. Szász, (Springer-Verlag, 2000).
2. C. P. Dettmann and E. G. D. Cohen, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1010345417058 103, 589 (2001).
3. D. Alonso, A. Ruiz, and I. de Vega, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.066131 66, 066131 (2002).
4. B. Li, G. Casati, and J. Wang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.021204 67, 021204 (2003).
5. E. Gutkin, Regular Chaotic Dyn. 8, 1 (2003).
6. G. Casati and T. Prosen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4729 83, 4729 (1999).
7. D. Alonso, A. Ruiz, and I. de Vega, Physica D PDNPDT 0167-2789 10.1016/j.physd.2003.09.007 187, 184 (2004).
8. G. M. Zaslavsky and M. Edelman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.5310 56, 5310 (1997).
9. G. M. Zaslavsky, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00331- 9 371, 461 (2002).
10. B. Li, L. Wang, and B. Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.223901 88, 223901 (2002).
11. T. Prosen and M. Znidaric, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.114101 87, 114101 (2001).
12. O. G. Jepps and L. Rondoni, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/6/007 39, 1311 (2006).
13. A. Dhar and D. Dhar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.480 82, 480 (1999).
14. B. Li and J. Wang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 90.044301 91, 044301 (2003).
15. S. Denisov, J. Klafter, and M. Urbakh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.194301 91, 194301 (2003).
16. D. P. Sanders, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.016220 71, 016220 (2005).
17. L. A. Bunimovich, Y. G. Sinai, and N. I. Chernov, Russ. Math. Surveys RMSUAF 0036-0279 10.1070/RM1991v046n04ABEH002827 46, 47 (1991).
18. P. M. Bleher, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01060071 66, 315 (1992).
19. L. Kaplan and E. J. Heller, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)00156-0 121, 1 (1998).
20. H. van Beijeren, Physica D PDNPDT 0167-2789 10.1016/j.physd.2004.01.012 193, 90 (2004).
21. B. Friedman and R. F. Martin, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(84)90554-1 105A, 23 (1984).
22. P. L. Garrido and G. Gallavotti, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02188675 76, 549 (1994).
23. T. Geisel and S. Thomae, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52.1936 52, 1936 (1984).
24. L. E. Reichl, A Modern Course in Statistical Physics (Wiley, New York, 1998), 2nd ed.
25. C. P. Lowe and A. J. Masters, Physica A PHYADX 0378-4371 10.1016/0378-4371(93)90259-7 195, 149 (1993).
26. D. N. Armstead, B. R. Hunt, and E. Ott, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.021110 67, 021110 (2003).
27. G. M. Zaslavsky and M. Edelman, Chaos CHAOEH 1054-1500 10.1063/1.1355358 11, 295 (2001).
28. P. Castiglione, A. Mazzino, P. Muratore-Ginanneschi, and A. Vulpiani, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(99)00031-7 134, 75 (1999).
29. R. Ferrari, A. J. Manfroi, and W. R. Young, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(01)00234-2 154, 111 (2001).
30. R. Metzler and J. Klafter, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3 339, 77 (2000).
31. G. H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
32. G. Zumofen and J. Klafter, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.851 47, 851 (1993).
33. G. Galperin, T. Krüger, and S. Troubetzkoy, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF02099308 169, 463 (1995).
34. D. P. Sanders, Ph.D. thesis, Mathematics Institute, University of Warwick, 2005.