Anomalous escape governed by thermal 1/f noise

Physical Review Letters

Volumn 99, Issue 20, 2007, Pages

  Goychuk, I ^a   Hanggi P ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FOKKER PLANCK EQUATION; GAUSSIAN NOISE (ELECTRONIC); NUMERICAL ANALYSIS;

CUSP-SHAPED PARABOLIC POTENTIAL WELL; LANGEVIN DYNAMICS; SUBDIFFUSIVE ESCAPE; TIME-CONVOLUTIONLESS MASTER EQUATION;

THERMAL NOISE;

EID: 36249021544     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.99.200601     Document Type: Article

References (46)

1. H. Scher and E.W. Montroll, Phys. Rev. B PLRBAQ 0556-2805 12, 2455 (1975); 10.1103/PhysRevB.12.2455
2. M. Shlesinger, J. Stat. Phys. 10, 421 (1974). JSTPSB 0022-4715 10.1007/BF01008803
3. R.H. Austin, K.W. Beeson, L. Eisenstein, H. Frauenfelder, and I.C. Gunsalus, Biochemistry BICHAW 0006-2960 14, 5355 (1975). 10.1021/bi00695a021
4. R. Metzler and J. Klafter, Phys. Rep. 339, 1 (2000). PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3
5. I.M. Sokolov, J. Klafter, and A. Blumen, Phys. Today 55, No. 11, 48 (2002); PHTOAD 0031-9228 10.1063/1.1535007
6. J. Klafter and I.M. Sokolov, Phys. World 18, No. 8, 29 (2005). PHWOEW 0953-8585
7. J. Tang and R.A. Marcus, Phys. Rev. Lett. 95, 107401 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.107401
8. H. Yang, Science 302, 262 (2003); SCIEAS 0036-8075 10.1126/science. 1086911
9. H. Yang and X.S. Xie, J. Chem. Phys. 117, 10965 (2002). JCPSA6 0021-9606 10.1063/1.1521154
10. S.C. Kou and X.S. Xie, Phys. Rev. Lett. 93, 180603 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.180603
11. W. Min, G. Luo, B.J. Cherayil, S.C. Kou, and X.S. Xie, Phys. Rev. Lett. 94, 198302 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.198302
12. F. Amblard, A.C. Maggs, B. Yurke, A.N. Pargellis, and S. Leibler, Phys. Rev. Lett. 77, 4470 (1996); PRLTAO 0031-9007 10.1103/PhysRevLett.77.4470
13. I.Y. Wong, Phys. Rev. Lett. 92, 178101 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.178101
14. A. Caspi, R. Granek, and M. Elbaum, Phys. Rev. E 66, 011916 (2002). PLEEE8 1063-651X 10.1103/PhysRevE.66.011916
15. M.J. Saxton, Biophys. J. 81, 2226 (2001); BIOJAU 0006-3495
16. I.M. Tolić-Nørrelykke, E.-L. Munteanu, G. Thon, L. Oddershede, and K. Berg-Sørensen, Phys. Rev. Lett. 93, 078102 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.078102
17. M. Weiss, M. Elsner, F. Kartberg, and T. Nilsson, Biophys. J. 87, 3518 (2004); BIOJAU 0006-3495 10.1529/biophysj.104.044263
18. I. Golding and E.C. Cox, Phys. Rev. Lett. 96, 098102 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.098102
19. I. Goychuk and P. Hänggi, Phys. Rev. E 70, 051915 (2004). PLEEE8 1063-651X 10.1103/PhysRevE.70.051915
20. G.H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
21. R. Metzler, E. Barkai, and J. Klafter, Phys. Rev. Lett. 82, 3563 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.82.3563
22. R. Metzler, E. Barkai, and J. Klafter, Europhys. Lett. 46, 431 (1999); EULEEJ 0295-5075 10.1209/epl/i1999-00279-7
23. E. Barkai, Phys. Rev. E 63, 046118 (2001). PLEEE8 1063-651X 10.1103/PhysRevE.63.046118
24. I. Goychuk, E. Heinsalu, M. Patriarca, G. Schmid, and P. Hänggi, Phys. Rev. E 73, 020101(R) (2006). PLEEE8 1063-651X 10.1103/PhysRevE.73.020101
25. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990). RMPHAT 0034-6861 10.1103/RevModPhys.62.251
26. J.D. Bao, Y.Z. Zhuo, F.A. Oliveira, and P. Hänggi, Phys. Rev. E 74, 061111 (2006). PLEEE8 1063-651X 10.1103/PhysRevE.74.061111
27. B.B. Mandelbrot and J.W. van Ness, SIAM Rev. 10, 422 (1968). SIREAD 0036-1445 10.1137/1010093
28. K.G. Wang and M. Tokuyama, Physica A (Amsterdam) 265, 341 (1999); PHYADX 0378-4371 10.1016/S0378-4371(98)00644-X
29. R. Kupferman, J. Stat. Phys. 114, 291 (2004). JSTPSB 0022-4715 10.1023/B:JOSS.0000003113.22621.f0
30. A.R. Bizzarri and S. Cannistraro, J. Phys. Chem. B 106, 6617 (2002); JPCBFK 1520-6106 10.1021/jp020100m
31. G.R. Kneller and K. Hinsen, J. Chem. Phys. 121, 10278 (2004); JCPSA6 0021-9606 10.1063/1.1806134
32. G. Luo, I. Andricioaei, X.S. Xie, and M. Karplus, J. Phys. Chem. B 110, 9363 (2006). JPCBFK 1520-6106 10.1021/jp057497p
33. S. Chaudhury and B.J. Cherayil, J. Chem. Phys. 125, 024904 (2006); JCPSA6 0021-9606 10.1063/1.2209231
34. S. Chaudhury B.J. Cherayil J. Chem. Phys. 125, 114106 (2006). JCPSA6 0021-9606 10.1063/1.2354089
35. S.A. Adelman, J. Chem. Phys. 64, 124 (1976). JCPSA6 0021-9606 10.1063/1.431961
36. P. Hänggi and H. Thomas, Z. Phys. B ZPBBDJ 0340-224X 26, 85 (1977); 10.1007/BF01313376
37. P. Hänggi, H. Thomas, H. Grabert, and P. Talkner, J. Stat. Phys. 18, 155 (1978); JSTPSB 0022-4715 10.1007/BF01014306
38. P. Hänggi, Z. Phys. B ZPBBDJ 0340-224X 31, 407 (1978). 10.1007/BF01351552
39. P. Hänggi and F. Mojtabai, Phys. Rev. A 26, 1168 (1982). PLRAAN 1050-2947 10.1103/PhysRevA.26.1168
40. J.T. Hynes, J. Phys. Chem. 90, 3701 (1986). JPCHAX 0022-3654 10.1021/j100407a044
41. R. Gorenflo and F. Mainardi, in Fractals and Fractional Calculus in Continuum Mechanics, edited by, A. Carpinteri, and, F. Mainardi, (Springer, Wien, 1997), pp. 223-276.
42. K. Weron and M. Kotulski, Physica A (Amsterdam) 232, 180 (1996); PHYADX 0378-4371 10.1016/0378-4371(96)00209-9
43. R. Hilfer, J. Non-Cryst. Solids JNCSBJ 0022-3093 305, 122 (2002). 10.1016/S0022-3093(02)01088-8
44. A.A. Stanislavsky, Phys. Rev. E 67, 021111 (2003). PLEEE8 1063-651X 10.1103/PhysRevE.67.021111
45. M.B. Weissman, Rev. Mod. Phys. 60, 537 (1988). RMPHAT 0034-6861 10.1103/RevModPhys.60.537
46. W. Min and X.S. Xie, Phys. Rev. E 73, 010902(R) (2006). PLEEE8 1063-651X 10.1103/PhysRevE.73.010902