Trajectory phase transitions, lee-yang zeros, and high-order cumulants in full counting statistics

Physical Review Letters

Volumn 110, Issue 5, 2013, Pages

  Flindt, Christian ^a   Garrahan, Juan P ^b  

^a UNIVERSITY OF GENEVA   (Switzerland)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CUMULANTS; DYNAMICAL PHASE TRANSITION; FULL COUNTING STATISTICS; GENERATING FUNCTIONS; HIGH-ORDER; LEE-YANG ZEROS; MANY-BODY SYSTEMS; SPIN MODELS; TIME EVOLUTIONS;

ATOMIC PHYSICS; PHYSICS;

DYNAMICAL SYSTEMS;

EID: 84873022710     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.110.050601     Document Type: Article

References (52)

1. V. Lecomte, C. Appert-Rolland, and F. van Wijland, J. Stat. Phys. 127, 51 (2007). JSTPBS 0022-4715 10.1007/s10955-006-9254-0
2. J. P. Garrahan, R. L. Jack, V. Lecomte, E. Pitard, K. van Duijvendijk, and F. van Wijland, Phys. Rev. Lett. 98, 195702 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.98.195702
3. J. P. Garrahan R. L. Jack V. Lecomte E. Pitard K. van Duijvendijk F. van Wijland J. Phys. A 42, 075007 (2009). JPHAC5 1751-8113 10.1088/1751-8113/42/7/ 075007
4. L. O. Hedges, R. L. Jack, J. P. Garrahan, and D. Chandler, Science 323, 1309 (2009); SCIEAS 0036-8075 10.1126/science.1166665
5. E. Pitard, V. Lecomte, and F. van Wijland, Europhys. Lett. 96, 56002 (2011). EULEEJ 0295-5075 10.1209/0295-5075/96/56002
6. C. Giardina, J. Kurchan, V. Lecomte, and J. Tailleur, J. Stat. Phys. 145, 787 (2011). JSTPBS 0022-4715 10.1007/s10955-011-0350-4
7. M. Gorissen, J. Hooyberghs, and C. Vanderzande, Phys. Rev. E 79, 020101 (2009); PLEEE8 1539-3755 10.1103/PhysRevE.79.020101
8. R. L. Jack and P. Sollich, Prog. Theor. Phys. 184, 304 (2010); PTPKAV 0375-9687 10.1143/PTPS.184.304
9. Y. S. Elmatad, R. L. Jack, D. Chandler, and J. P. Garrahan, Proc. Natl. Acad. Sci. U.S.A. 107, 12793 (2010). PNASA6 0027-8424 10.1073/pnas.1006306107
10. V. Y. Chernyak and N. A. Sinitsyn, J. Stat. Mech. (2010) L07001; JSMTC6 1742-5468 10.1088/1742-5468/2010/07/L07001
11. P. I. Hurtado and P. L. Garrido, Phys. Rev. Lett. 107, 180601 (2011); PRLTAO 0031-9007 10.1103/PhysRevLett.107.180601
12. A. Dickson, S. M. A. Tabei, and A. R. Dinner, Phys. Rev. E 84, 061134 (2011); PLEEE8 1539-3755 10.1103/PhysRevE.84.061134
13. C. Monthus, J. Stat. Mech. (2011) P03008. JSMTC6 1742-5468 10.1088/1742-5468/2011/03/P03008
14. J. P. Garrahan and I. Lesanovsky, Phys. Rev. Lett. 104, 160601 (2010); PRLTAO 0031-9007 10.1103/PhysRevLett.104.160601
15. A. A. Budini, Phys. Rev. E 84, 011141 (2011); PLEEE8 1539-3755 10.1103/PhysRevE.84.011141
16. C. Ates, B. Olmos, J. P. Garrahan, and I. Lesanovsky, Phys. Rev. A 85, 043620 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.043620
17. I. P. Levkivskyi and E. V. Sukhorukov, Phys. Rev. Lett. 103, 036801 (2009); PRLTAO 0031-9007 10.1103/PhysRevLett.103.036801
18. T. Karzig and F. von Oppen, Phys. Rev. B 81, 045317 (2010); PRBMDO 1098-0121 10.1103/PhysRevB.81.045317
19. D. A. Ivanov and A. G. Abanov, Europhys. Lett. 92, 37 008 (2010); EULEEJ 0295-5075 10.1209/0295-5075/92/37008
20. G. A. Alvarez, E. P. Danieli, P. R. Levstein, and H. M. Pastawski, Phys. Rev. A 82, 012310 (2010); PLRAAN 1050-2947 10.1103/PhysRevA.82.012310
21. J. Li, Y. Liu, J. Ping, S.-S. Li, X.-Q. Li, and Y. J. Yan, Phys. Rev. B 84, 115319 (2011); PRBMDO 1098-0121 10.1103/PhysRevB.84.115319
22. D. A. Ivanov and A. G. Abanov, arXiv:1203.6325.
23. C. Flindt, C. Fricke, F. Hohls, T. Novotný, K. Netočný, T. Brandes, and R. J. Haug, Proc. Natl. Acad. Sci. U.S.A. 106, 10 116 (2009). PNASA6 0027-8424 10.1073/pnas.0901002106
24. C. Flindt, T. Novotný, A. Braggio, and A.-P. Jauho, Phys. Rev. B 82, 155407 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.155407
25. D. Kambly, C. Flindt, and M. Büttiker, Phys. Rev. B 83, 075432 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.075432
26. F. Ritort and P. Sollich, Adv. Phys. 52, 219 (2003). ADPHAH 0001-8732 10.1080/0001873031000093582
27. J. P. Garrahan and D. Chandler, Phys. Rev. Lett. 89, 035704 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.035704
28. M. D. Ediger, Annu. Rev. Phys. Chem. 51, 99 (2000). ARPLAP 0066-426X 10.1146/annurev.physchem.51.1.99
29. L. Berthier and G. Biroli, Rev. Mod. Phys. 83, 587 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.587
30. D. Chandler and J. P. Garrahan, Annu. Rev. Phys. Chem. 61, 191 (2010). ARPLAP 0066-426X 10.1146/annurev.physchem.040808.090405
31. M. Merolle, J. P. Garrahan, and D. Chandler, Proc. Natl. Acad. Sci. U.S.A. 102, 10 837 (2005). PNASA6 0027-8424 10.1073/pnas.0504820102
32. L. S. Levitov and G. B. Lesovik, JETP Lett. 58, 230 (1993); JTPLA2 0021-3640
33. D. A. Bagrets and Yu. V. Nazarov, Phys. Rev. B 67, 085316 (2003); PRBMDO 0163-1829 10.1103/PhysRevB.67.085316
34. S. Pilgram, A. N. Jordan, E. V. Sukhorukov, and M. Büttiker, Phys. Rev. Lett. 90, 206801 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.90.206801
35. C. Flindt, T. Novotný, A. Braggio, M. Sassetti, and A.-P. Jauho, Phys. Rev. Lett. 100, 150601 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.100. 150601
36. M. Esposito, U. Harbola, and S. Mukamel, Rev. Mod. Phys. 81, 1665 (2009). RMPHAT 0034-6861 10.1103/RevModPhys.81.1665
37. M. Baiesi, C. Maes, and B. Wynants, Phys. Rev. Lett. 103, 010602 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.010602
38. T. D. Lee and C. N. Yang, Phys. Rev. 87, 410 (1952); PHRVAO 0031-899X 10.1103/PhysRev.87.410
39. C. N. Yang and T. D. Lee, Phys. Rev. 87, 404 (1952). PHRVAO 0031-899X 10.1103/PhysRev.87.404
40. C. W. Gardiner, Handbook of Stochastic Methods (Springer, Berlin, 1986).
41. For other dynamical applications of Lee-Yang ideas see, e.g., R. A. Blythe and M. R. Evans, Phys. Rev. Lett. 89, 080601 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.89.080601
42. I. Bena, M. Droz, and A. Lipowski, Int. J. Mod. Phys. B 19, 4269 (2005); IJPBEV 0217-9792 10.1142/S0217979205032759
43. B.-B. Wei and R.-B. Liu, Phys. Rev. Lett. 109, 185701 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.185701
44. R. B. Dingle, Asymptotic Expansions: Their Derivation and Interpretation (Academic Press, London, 1973);
45. M. V. Berry, Proc. R. Soc. A 461, 1735 (2005). PRLAAZ 1364-5021 10.1098/rspa.2005.1446
46. C. Fricke, F. Hohls, N. Sethubalasubramanian, L. Fricke, and R. J. Haug, Appl. Phys. Lett. 96, 202 103 (2010). APPLAB 0003-6951 10.1063/1.3430000
47. R. S. Bhalerao, N. Borghini, and J.-Y. Ollitrault, Nucl. Phys. A727, 373 (2003). NUPABL 0375-9474 10.1016/j.nuclphysa.2003.08.007
48. J. Zamastil and F. Vinette, J. Phys. A 38, 4009 (2005). JPHAC5 0305-4470 10.1088/0305-4470/38/18/010
49. G. H. Fredrickson and H. C. Andersen, Phys. Rev. Lett. 53, 1244 (1984). PRLTAO 0031-9007 10.1103/PhysRevLett.53.1244
50. J. Jäckle and S. Eisinger, Z. Phys. B 84, 115 (1991). ZPCMDN 0722-3277 10.1007/BF01453764
51. T. Bodineau, V. Lecomte, and C. Toninelli, J. Stat. Phys. 147, 1 (2012); JSTPBS 0022-4715 10.1007/s10955-012-0458-1
52. T. Bodineau and C. Toninelli, Commun. Math. Phys. 311, 357 (2012). CMPHAY 0010-3616 10.1007/s00220-012-1449-4