Extreme fluctuations of current in the symmetric simple exclusion process: A non-stationary setting

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2014, Issue 6, 2014, Pages

  Vilenkin, A ^a   Meerson, B ^a   Sasorov, P V ^b  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

Author keywords

current fluctuations; diffusion; large deviations in non equilibrium systems; stochastic particle dynamics (theory)

Indexed keywords

EID: 84903639602     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2014/06/P06007     Document Type: Article

References (37)

1. Spohn H 1991 Large Scale Dynamics of Interacting Particles (New York: Springer)
2. Liggett T M 1999 Stochastic Interacting Systems: Contact, Voter and Exclusion Processes (New York: Springer)
3. Kipnis C and Landim C 1999 Scaling Limits of Interacting Particle Systems (New York: Springer)
4. Schmittmann B and Zia R K P 1995 Statistical Mechanics of Driven Diffusive Systems (Phase Transitions and Critical Phenomena 17 ed C Domb and J L Lebowitz (London: Academic Press)
5. Shütz G M 2000 Exactly Solvable Models for Many-Body Systems Far From Equilibrium (Phase Transitions and Critical Phenomena 19 ed C Domb and J L Lebowitz (London: Academic Press)
6. Derrida B 2007 J. Stat. Mech. P07023
7. Blythe R A and Evans M R 2007 J. Phys. A: Math. Theor. 40 R333
8. Krapivsky P L, Redner S and Ben-Naim E 2010 A Kinetic View of Statistical Physics (Cambridge: Cambridge University Press)
9. Lee H, Levitov L S and Yakovets A Yu 1995 Phys. Rev. B 51 4079
10. Blanter Y M and Büttiker M 2000 Phys. Rep. 336 1
11. Pilgram S, Jordan A N, Sukhorukov E V and Büttiker M 2003 Phys. Rev. Lett. 90 206801
12. Jordan A N, Sukhorukov E V and Pilgram S 2004 J. Math. Phys. 45 4386 (Pubitemid 41015890)
13. Chou T, Mallick K and Zia R K P 2011 Rep. Prog. Phys. 74 116601
14. Kipnis C, Marchioro C and Presutti E 1982 J. Stat. Phys. 27 65
15. Jona-Lasinio G 2010 Prog. Theor. Phys. Suppl. 184 262
16. Jona-Lasinio G 2014 J. Stat. Mech. P02004
17. Hurtado P I, Espigares C P, del Pozo J J and Garrido P L 2014 J. Stat. Phys. 154 214
18. Derrida B and Gerschenfeld A 2009 J. Stat. Phys. 136 1
19. Derrida B and Gerschenfeld A 2009 J. Stat. Phys. 137 978
20. Krapivsky P L and Meerson B 2012 Phys. Rev. E 86 031106
21. Sethuraman S and Varadhan S R S 2013 Ann. Probab. 41 1461
22. Meerson B and Sasorov P V 2013 J. Stat. Mech. P12011
23. Meerson B and Sasorov P V 2014 Phys. Rev. E 89 010101
24. Bertini L, De Sole A, Gabrielli D, Jona-Lasinio G and Landim C 2001 Phys. Rev. Lett. 87 040601
25. Bertini L, De Sole A, Gabrielli D, Jona-Lasinio G and Landim C 2002 J. Stat. Phys. 107 635 (Pubitemid 37133825)
26. Bertini L, De Sole A, Gabrielli D, Jona-Lasinio G and Landim C 2005 Phys. Rev. Lett. 94 030601 (Pubitemid 40607273)
27. Bertini L, De Sole A, Gabrielli D, Jona-Lasinio G and Landim C 2006 J. Stat. Phys. 123 237 (Pubitemid 43707526)
28. Tailleur J, Kurchan J and Lecomte V 2007 Phys. Rev. Lett. 99 150602 (Pubitemid 47551670)
29. Tailleur J, Kurchan J and Lecomte V 2008 J. Phys. A: Math. Theor. 41 505001
30. Landau L D and Lifshitz E M 2000 Fluid Mechanics (Oxford: Reed)
31. Courant R and Friedrichs K O 1948 Supersonic Flow and Shock Waves (New York: Springer)
32. Whitham G B 1974 Linear and Nonlinear Waves (New York: Wiley)
33. Sommerfeld A 1949 Partial Differential Equations in Physics (New York: Academic Press) p 36
34. Trubnikov B A and Zhdanov S K 1987 Phys. Rep. 155 137
35. Abramowitz M S and Stegun I A (ed) 1972 Handbook of Mathematical Functions (New York: Dover)
36. Jackson J D 1975 Classical Electrodynamics (New York: Wiley) p 92
37. Martin P C, Siggia E D and Rose H A 1973 Phys. Rev. A 8 423