Quantization and fractional quantization of currents in periodically driven stochastic systems. II. Full counting statistics

Journal of Chemical Physics

Volumn 136, Issue 15, 2012, Pages

  Chernyak, Vladimir Y ^a,b   Klein, John R ^a,c,d   Sinitsyn, Nikolai A ^b,d  

^a WAYNE STATE UNIVERSITY   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

^c CENTER FOR NONLINEAR STUDIES   (United States)

^d NEW MEXICO CONSORTIUM   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COUNTING STATISTICS; FINITE NUMBER; FINITE TEMPERATURES; FULL COUNTING STATISTICS; LOW TEMPERATURES; MARKOVIAN; QUANTIZED CURRENT; STOCHASTIC MOTION; TOPOLOGICAL INVARIANTS; TOPOLOGICAL PROPERTIES; TRANSITION RATES;

PHYSICAL CHEMISTRY; PHYSICS;

TOPOLOGY;

EID: 84860139023     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3703329     Document Type: Article

References (43)

1. V. Y. Chernyak, J. R. Klein, and N. A. Sinitsyn, J. Chem. Phys. 136, 154107 (2012). 10.1063/1.3703328
2. E. V. Sukhorukov, Nature Phys. 03, 243 (2007). 10.1038/nphys564
3. D. A. Bagrets and Y. V. Nazarov, Phys. Rev. B 67, 085316 (2003). 10.1103/PhysRevB.67.085316
4. A. N. Jordan, E. V. Sukhorukov, and S. Pilgram, J. Math. Phys. 45, 4386 (2004). 10.1063/1.1803927
5. Y. Utsumi, D. S. Golubev, M. Marthaler, K. Saito, T. Fujisawa, and G. Schn, Phys. Rev. B 81, 125331 (2010). 10.1103/PhysRevB.81.125331
6. S. Ganeshan and N. A. Sinitsyn, Phys. Rev. B 84, 245405 (2011). 10.1103/PhysRevB.84.245405
7. S. Yang and J. Cao, J. Chem. Phys. 117, 10996 (2002). 10.1063/1.1521155
8. J. Witkoskie and J. Cao, J. Chem. Phys. 121, 6361 (2004). 10.1063/1.1785783
9. J. Cao and R. J. Silbey, J. Phys. Chem. B 112, 12867 (2008). 10.1021/jp803347m
10. N. A. Sinitsyn and I. Nemenman, Europhys. Lett. 77, 58001 (2007). 10.1209/0295-5075/77/58001
11. J. Ohkubo, J. Chem. Phys. 129, 205102 (2008). 10.1063/1.3026510
12. J. Ohkubo, J. Stat. Mech.: Theory Exp. 2008, P02011. 10.1088/1742-5468/ 2008/02/P02011
13. N. A. Sinitsyn, J. Phys. A: Math. Theor. 42, 193001 (2009). 10.1088/1751-8113/42/19/193001
14. J. Ohkubo, and T. Eggel, J. Phys. A: Math. Theor. 43, 425001 (2010). 10.1088/1751-8113/43/42/425001
15. V. Y. Chernyak and N. A. Sinitsyn, J. Stat. Mech.: Theory Exp. 2010, L07001. 10.1088/1742-5468/2010/07/L07001
16. N. A. Sinitsyn, A. Akimov, and V. Y. Chernyak, Phys. Rev. E 83, 021107 (2011). 10.1103/PhysRevE.83.021107
17. M. Albert, C. Flindt, and M. Bttiker, Phys. Rev. B 82, 041407 (2010). 10.1103/PhysRevB.82.041407
18. M. Albert, C. Flindt, and M. Bttiker, invited contribution to ICNF 2011, Toronto, Canada, 2011, e-print arXiv:1102.2343.
19. M. Albert, C. Flindt, and M. Bttiker, Phys. Rev. Lett. 107, 086805 (2011). 10.1103/PhysRevLett.107.086805
20. D. A. Ivanov and A. G. Abanov, Europhys. Lett. 92, 37008 (2010). 10.1209/0295-5075/92/37008
21. J. Ren, P. Hnggi, and B. Li, Phys. Rev. Lett. 104, 170601 (2010). 10.1103/PhysRevLett.104.170601
22. V. Y. Chernyak, M. Chertkov, and N. A. Sinitsyn, J. Stat. Mech.: Theory Exp. 2011, P09006. 10.1088/1742-5468/2011/09/P09006
23. D. A. Leigh, Nature (London) 424, 174 (2003). 10.1038/nature01758
24. L. G. Geerligs, Phys. Rev. Lett. 64, 2691 (1990). 10.1103/PhysRevLett.64. 2691
25. P. Hnggi and F. Marchesoni, Rev. Mod. Phys. 81, 387 (2009). 10.1103/RevModPhys.81.387
26. N. A. Sinitsyn, N. Hengartnet, and I. Nemenman, Proc. Natl. Acad. Sci. U.S.A. 106, 10546 (2009). 10.1073/pnas.0809340106
27. I. V. Gopich and A. Szabo, J. Chem. Phys. 124, 154712 (2006). 10.1063/1.2180770
28. D. R. Astumian, Annu. Rev. Biophys. 40, 289 (2011). 10.1146/annurev- biophys-042910-155355
29. T. Sagawa and H. Hayakawa, Phys. Rev. E 84, 051110 (2011). 10.1103/PhysRevE.84.051110
30. D. Andrieux and P. Gaspard, J. Stat. Phys. 127, 107 (2007); 10.1007/s10955-006-9233-5 D. Andrieux and P. Gaspard, J. Stat. Mech.: Theory Exp. 2009, P02057. 10.1088/1742-5468/2009/02/P02057
31. Y. Utsumi, D. S. Golubev, M. Marthaler, G. Schn, and K. Kobayashi, e-print arXiv:1202.1700.
32. V. Elgart and A. Kamenev, Phys. Rev. E 74, 041101 (2006). 10.1103/PhysRevE.74.041101
33. P. I. Hurtado and P. L. Garrido, J. Stat. Mech.: Theory Exp. 2009, P02032. 10.1088/1742-5468/2009/02/P02032
34. N. G. van Kampen, Stochastic Processes in Physics and Chemistry, 3rd ed. (North-Holland Personal Library, Elsevier, Amsterdam, 2007).
35. A. Andreev and A. Kamenev, Phys. Rev. Lett. 85, 1294 (2000). 10.1103/PhysRevLett.85.1294
36. Y. Makhlin, and A. D. Mirlin, Phys. Rev. Lett. 87, 276803 (2001). 10.1103/PhysRevLett.87.126805
37. B. Derrida and J. L. Lebowitz, Phys. Rev. Lett. 80, 209 (1998). 10.1103/PhysRevLett.80.209
38. M. F. Atiyah, K-theory, notes by, D. W. Anderson, 2nd ed. (Addison-Wesley, 1989).
39. V. Y. Chernyak, M. Chertkov, S. V. Malinin, and R. Teodorescu, J. Stat. Phys. 137, 109 (2009). 10.1007/s10955-009-9832-z
40. P. Hanggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990). 10.1103/RevModPhys.62.251
41. V. Y. Chernyak and N. A. Sinitsyn, J. Chem. Phys. 131, 181101 (2009). 10.1063/1.3263821
42. V. Guillemin and A. Pollack, Differential Topology (AMS Chelsea Publishing, Providence, RI, 2010).
43. R. S. Ward and R. O. Wells, Twistor Geometry and Field Theory (Cambridge University Press, 1990).