Dynamical and transport properties in a family of intermittent area-preserving maps

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

Volumn 77, Issue 4, 2008, Pages

  Artuso, Roberto ^a   Cavallasca, Lucia ^a   Cristadoro, Giampaolo ^a  

^a UNIVERSITY OF INSUBRIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; NUMERICAL METHODS; PERTURBATION TECHNIQUES; RANDOM PROCESSES; TRANSPORT PROPERTIES;

AREA PRESERVING MAPS; TRANSPORT MOMENTS;

MATERIALS SCIENCE;

EID: 42149154357     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.046206     Document Type: Article

References (54)

1. L. Markus and K. R. Meyer, Mem. Am. Math. Soc. MAMCAU 0065-9266 144, 1 (1974).
2. J. D. Meiss, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.64.795 64, 795 (1992).
3. T. Geisel and S. Thomae, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52.1936 52, 1936 (1984).
4. C. F. F. Karney, Physica D PDNPDT 0167-2789 10.1016/0167-2789(83)90232-4 8, 360 (1983).
5. B. V. Chirikov and D. L. Shepelyansky, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(00)00016-6 13, 395 (1984).
6. F. Vivaldi, G. Casati, and I. Guarneri, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.51.727 51, 727 (1983).
7. G. M. Zaslavsky and B. A. Niyazov, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(96)00054-3 283, 73 (1997).
8. R. Artuso and G. Cristadoro, in Anomalous Transport: Foundations and Applications, edited by, R. Klages, G. Radons, and, I. M. Sokolov, (Wiley-VCH, Weinheim, 2007).
9. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics (Springer-Verlag, New York, 1992).
10. R. Artuso and R. Prampolini, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(98)00542-8 246, 407 (1998).
11. R. Frigerio, Laurea thesis, Università dell'Insubria, 2000
12. R. Frigerio and I. Guarneri (unpublished).
13. C. Liverani and M. Martens, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-005-1420-8 260, 527 (2005).
14. Y. Pomeau and P. Manneville, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01197757 74, 189 (1980).
15. P. Gaspard and X.-J. Wang, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.85.13.4591 85, 4591 (1988)
16. X.-J. Wang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.6647 40, 6647 (1989).
17. L.-S. Young, Isr. J. Math. ISJMAP 0021-2172 110, 153 (1999).
18. C. Liverani, B. Saussol, and S. Vaienti, Ergod. Theory Dyn. Syst. 19, 671 (1999). 0143-3857
19. R. Zweimüller, Stochastics Dyn. 3, 83 (2003). 0219-4937
20. H. Hu and S. Vaienti (unpublished).
21. R. Artuso, P. Cvitanović, and G. Tanner, Prog. Theor. Phys. Suppl. 150, 1 (2003) 0033-068X
22. R. Artuso, P. Dahlqvist, G. Tanner, and P. Cvitanović, in Classical and Quantum Chaos, edited by, P. Cvitanović, R. Artuso, R. Mainieri, G. Tanner, and, G. Vattay, (Niels Bohr Institute Press, Copenhagen, 2005).
23. S. Isola, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/15/5/310 15, 1521 (2002)
24. T. Prellberg, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/10/306 36, 2455 (2003)
25. S. Tasaki and P. Gaspard, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1020479002249 109, 803 (2002).
26. T. Miyaguchi and Y. Aizawa, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.066201 75, 066201 (2007).
27. S. Gouëzel, Isr. J. Math. ISJMAP 0021-2172 139, 29 (2004).
28. T. Geisel, J. Nierwetberg, and A. Zacherl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.54.616 54, 616 (1985).
29. A. S. Pikovsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.3146 43, 3146 (1991).
30. 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).
31. R. Artuso and G. Cristadoro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.244101 90, 244101 (2003).
32. M. Pollicott and M. Yuri, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s002200100368 217, 503 (2001).
33. We point out that it is possible to define smooth functions f reproducing each integer γ behavior; this was accomplished in.
34. J. D. Meiss, Chaos CHAOEH 1054-1500 10.1063/1.166245 7, 139 (1997).
35. S. R. Channon and J. L. Lebowitz, Ann. N.Y. Acad. Sci. ANYAA9 0077-8923 10.1111/j.1749-6632.1980.tb29680.x 357, 108 (1980).
36. P. Dahlqvist and R. Artuso, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(96)00404-5 219, 212 (1996).
37. R. Artuso, G. Casati, and I. Guarneri, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02183643 83, 145 (1996).
38. S. Isola, in Nonlinear Dynamics of Electronic Systems, edited by, G. Setti, R. Rovatti, and, G. Mazzini, (World Scientific, Singapore, 2000).
39. G. Casati and T. Prosen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4261 85, 4261 (2000).
40. R. Artuso and G. Cristadoro, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/1/006 37, 85 (2004).
41. I. Procaccia and H. Schuster, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.28.1210 28, 1210 (1983).
42. J. E. Hirsch, B. A. Huberman, and D. J. Scalapino, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.25.519 25, 519 (1982).
43. P. Dahlqvist, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.6639 60, 6639 (1999).
44. J. D. Crawford and J. R. Cary, Physica D PDNPDT 0167-2789 10.1016/0167-2789(83)90007-6 6, 223 (1983).
45. P. Collet and S. Isola, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF02101879 139, 551 (1991).
46. H. Scher and E. W. Montroll, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.12.2455 12, 2455 (1975).
47. G. Zumofen and J. Klafter, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.851 47, 851 (1993).
48. K. H. Andersen, P. Castiglione, A. Mazzino, and A. Vulpiani, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510070032 18, 447 (2000).
49. I. M. Sokolov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.011104 63, 011104 (2000).
50. J. Klafter, A. Blumen, and M. F. Shlesinger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.35.3081 35, 3081 (1987).
51. W. Feller, An Introduction to Probability Theory and Applications (Wiley, New York, 1966), Vol. II.
52. E. Floriani, R. Mannella, and P. Grigolini, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.5910 52, 5910 (1995).
53. E. G. Altmann and H. Kantz, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/78/10008 78, 10008 (2007).
54. N. Agmon and G. H. Weiss, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100356a002 93, 6884 (1989).