Void formation in diffusive lattice gases

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2012, Issue 12, 2012, Pages

  Krapivsky, P L ^a,b   Meerson, Baruch ^c   Sasorov, Pavel V ^d  

^a USA   (United States)

^b CEA SACLAY   (France)

^c HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^d KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

Author keywords

diffusion; exact results; large deviations in non equilibrium systems; stochastic particle dynamics (theory)

Indexed keywords

EID: 84871897522     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2012/12/P12014     Document Type: Article

References (43)

1. Landau L D and Lifshitz E M 1980 Statistical Physics (New York: Pergamon)
2. Touchette H 2009 Phys. Rep. 478 1
3. Derrida B 2007 J. Stat. Mech. P07023
4. Jona-Lasinio G 2010 Prog. Theor. Phys. Suppl. 184 262
5. Derrida B and Gerschenfeld A 2009 J. Stat. Phys. 136 1
6. Derrida B and Gerschenfeld A 2009 J. Stat. Phys. 137 978
7. Sethuraman S and Varadhan S R S 2011 arXiv:1101.1479
8. Krapivsky P L and Meerson B 2012 Phys. Rev. E 86 031106
9. Lecomte V, Garrahan J P and van Wijland F 2012 J. Phys. A: Math. Theor. 45 175001
10. Abanov A G and Korepin V E 2002 Nucl. Phys. B 647 565
11. Abanov A G 2004 Hydrodynamics of correlated systems. emptiness formation probability and random matrices Application of Random Matrices in Physics (NATO Science Series II: Mathematics, Physics and Chemistry) vol 221 ed E Brezin, V Kazakov, D Serban, P Wiegmann and A Zabrodin (Dordrecht: Springer) [arXiv:cond-mat/0504307]
12. Bertini L, De Sole A, Gabrielli D, Jona-Lasinio G and Landim C 2001 Phys. Rev. Lett. 87 040601
13. Bertini L, De Sole A, Gabrielli D, Jona-Lasinio G and Landim C 2005 Phys. Rev. Lett. 94 030601 (Pubitemid 40607273)
14. Bertini L, De Sole A, Gabrielli D, Jona-Lasinio G and Landim C 2006 J. Stat. Phys. 123 237 (Pubitemid 43707526)
15. Bertini L, De Sole A, Gabrielli D, Jona-Lasinio G and Landim C 2009 J. Stat. Phys. 135 857
16. Bertini L, De Sole A, Gabrielli D, Jona-Lasinio G and Landim C 2007 J. Stat. Mech. P07014
17. Tailleur J, Kurchan J and Lecomte V 2007 Phys. Rev. Lett. 99 150602 (Pubitemid 47551670)
18. Tailleur J, Kurchan J and Lecomte V 2008 J. Phys. A: Math. Theor. 41 505001
19. Freidlin M I and Wentzell A D 1984 Random Perturbations of Dynamical Systems (New York: Springer)
20. Elgart V and Kamenev A 2004 Phys. Rev. E 70 041106 (Pubitemid 40010426)
21. Meerson B and Sasorov P V 2011 Phys. Rev. E 83 011129
22. Meerson B, Sasorov P V and Kaplan Y 2011 Phys. Rev. E 84 011147
23. Meerson B and Sasorov P V 2011 Phys. Rev. E 84 030101(R)
24. Spohn H 1991 Large Scale Dynamics of Interacting Particles (New York: Springer)
25. Liggett T M 1999 Stochastic Interacting Systems: Contact, Voter, and Exclusion Processes (New York: Springer)
26. Kipnis C and Landim C 1999 Scaling Limits of Interacting Particle Systems (New York: Springer)
27. Schmittmann B and Zia R K P 1995 Statistical Mechanics of Driven Diffusive Systems Phase Transitions and Critical Phenomena vol 17 ed C Domb and J L Lebowitz (London: Academic)
28. Derrida B 1998 Phys. Rep. 301 65
29. Schütz G M 2000 Exactly Solvable Models for Many-Body Systems Far From Equilibrium Phase Transitions and Critical Phenomena vol 19 ed C Domb and J L Lebowitz (London: Academic)
30. Blythe R A and Evans M R 2007 J. Phys. A: Math. Theor. 40 R333
31. Krapivsky P L, Redner S and Ben-Naim E 2010 A Kinetic View of Statistical Physics (Cambridge: Cambridge University Press)
32. Kipnis C, Marchioro C and Presutti E 1982 J. Stat. Phys. 27 65
33. Bertini L, Gabrielli D and Lebowitz J L 2005 J. Stat. Phys. 121 843 (Pubitemid 41788305)
34. Imparato A, Lecomte V and van Wijland F 2009 Phys. Rev. E 80 011131
35. Spitzer F 1970 Adv. Math. 5 246
36. Evans M R and Hanney T 2005 J. Phys. A: Math. Gen. 38 R195
37. Zeldovich Ya B and Raizer Yu P 1967 Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena vol I & II (New York: Academic)
38. Landau L D and Lifshitz E M 1987 Fluid Mechanics (New York: Pergamon)
39. Barenblatt G I 1996 Scaling, Self-Similarity, and Intermediate Asymptotics (Cambridge: Cambridge University Press)
40. Hurtado P I and Krapivsky P L 2012 Phys. Rev. E 85 060103
41. Chernykh A I and Stepanov M G 2001 Phys. Rev. E 64 026306
42. Korepin V E, Bogoliubov N M and Izergin A G 1993 Quantum Inverse Scattering Method and Correlation Functions (Cambridge: Cambridge University Press)
43. Bodineau T, Derrida B and Lebowitz J L 2008 J. Stat. Phys. 131 821