Anomalous diffusion in infinite horizon billiards

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

Volumn 67, Issue 2, 2003, Pages 7-

  Armstead, Douglas N ^a   Hunt, Brian R ^b   Ott, Edward ^c  

^a UNIVERSITY OF MARYLAND   (United States)

^b Bldg 142   (United States)

^c The Institute for Research in Electronics and Applied Physics   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84938312199     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.67.021110     Document Type: Article

References (22)

1. H.A. Lorentz, Proc. R. Acad. Sci. Amsterdam 7, 438 (1905).
2. E.H. Hauge, Lect. Notes Phys. 31, 337 (1974).
3. G. Gallavotti, Lect. Notes Phys. 38, 236 (1975).
4. Y.G. Sinai, Funkts. Anal. Ego Prilozh 13, 46 (1979).
5. L.A. Bunimovich and Ya.G. Sinai, Commun. Math. Phys. 78, 479 (1981).
6. P.M. Bleher, J. Stat. Phys. 66, 315 (1992).
7. P. Dahlqvist, J. Stat. Phys. 84, 773 (1996).
8. P. Castiglione, A. Mazzino, P. Muratore-Ginanneschi, and A. Vulpiani, Physica D 134, 75 (1999).
9. R. Ferrari, A.J. Manfroi, and W.R. Young, Physica D 154, 111 (2001).
10. V.V. Afanasiev, R.Z. Sagdeev, and G.M. Zaslavsky, Chaos 1, 143 (1991).
11. E.R. Weeks, J.S. Urbach, and H.L. Swinney, Physica D 97, 291 (1996).
12. J. Klafter, M.F. Shlesinger, and G. Zumofen, Phys. Today 49, 33 (1996).
13. S.C. Venkataramani, T.M. Antonsen, and E. Ott, Phys. Rev. Lett. 78, 3864 (1997).
14. T. Geisel, J. Wagenhuber, P. Niebauer, and G. Obermair, Phys. Rev. Lett. 64, 1581 (1990).
15. T.H. Solomon, S. Tomas, and J.L. Warner, Phys. Rev. Lett. 77, 2682 (1996)
16. M.A. Fogleman, M.J. Fawcett, and T.H. Solomon, Phys. Rev. E 63, 020101 (2001)
17. T.H. Solomon, Andrew T. Lee, and M.A. Fogleman, Physica D 157, 40 (2001).
18. K.C. Lee, Phys. Rev. Lett. 60, 1991 (1988).
19. D. N. Armstead, B. R. Hunt, and E. Ott (unpublished).
20. A. Papoulis, Probability, Random Variables, and Stochastic Process, 4th ed. (McGraw-Hill, New York, 1994).
21. P. Pollett, MS308 probability theory web page, http://www.maths.uq.edu.au/∼pkp/teaching/ms308/summaries/conv/conv.html
22. G.M. Zaslavsky and M. Edelman, Phys. Rev. E 56, 5310 (1997).