Zero-range processes with saturated condensation: The steady state and dynamics

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2010, Issue 2, 2010, Pages

  Thompson, A G ^a   Tailleur, J ^a   Cates, M E ^a   Blythe, R A ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

Dynamical processes (theory); Stochastic processes (theory); Zerorange processes

Indexed keywords

EID: 77149129508     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2010/02/P02013     Document Type: Article

References (22)

1. Eggers J 1999 Sand as Maxwell's demon Phys. Rev. Lett. 83 5322
2. van der Meer D, van der Weele D and Lohse D 2004 Coarsening dynamics in a vibrofluidized compartmentalized granular gas J. Stat. Mech. P04004
3. Burda Z, Johnston D, Jurkiewicz J, Kamiński M, Nowak M A, Papp G and Zahed I 2002 Wealth condensation in Pareto macroeconomies Phys. Rev. E 65 026102
4. O'Loan O J, Evans M R and Cates M E 1998 Jamming transition in a homogeneous one-dimensional system: the bus route model Phys. Rev. E 58 1404
5. Evans M R 2000 Phase transitions in one-dimensional nonequilibrium systems Braz. J. Phys. 30 42
6. Evans M R and Hanney T 2005 Nonequilibrium statistical mechanics of the zero-range process and related models J. Phys. A: Math. Gen. 38 R195
7. Spitzer F 1970 Interacting Markov processes Adv. Math. 5 246
8. Bialas P, Burda Z and Johnston D 1997 Condensation in the Backgammon model Nucl. Phys. B 493 505
9. Godrèche C 2003 Dynamics of condensation in zero-range processes J. Phys. A: Math. Gen. 36 6313
10. Grokinsky S, Schütz G M and Spohn H 2004 Condensation in the zero range process: stationary and dynamical properties J. Stat. Phys. 113 389
11. Majumdar S N, Evans M R and Zia R K P 2005 Nature of the condensate in mass transport models Phys. Rev. Lett. 94 180601
12. Godréche C and Luck J M 2005 Dynamics of the condensate in zero-range processes J. Phys. A: Math. Gen. 38 7215
13. Schwarzkopf Y, Evans M R and Mukamel D 2008 Zero-range processes with multiple condensates: statics and dynamics J. Phys. A: Math. Theor. 41 205001
14. Safran S A 1994 Statistical Thermodynamics of Surfaces, Interfaces and Membranes (New York: Addison Wesley)
15. Goldstein R E 1986 Model for phase equilibrium in micellar solutions of nonionic surfactants J. Chem. Phys. 84 3367
16. Evans M R, Majumdar S N and Zia R K P 2006 Canonical analysis of condensation in factorised steady states J. Stat. Phys. 123 357
17. Tailleur J and Cates M E 2008 Statistical mechanics of interacting run-and-tumble bacteria Phys. Rev. Lett. 100 218103
18. Rockafellar R T 1970 Convex Analysis (Princeton, NJ: Princeton University Press)
19. Chaikin P M and Lubensky T C 1995 Principles of Condensed Matter Physics (Cambridge: Cambridge University Press)
20. Hänggi P, Talkner P and Borkovec M 1990 Reaction-rate theory: fifty years after Kramers Rev. Mod. Phys. 62 251
21. Godrèche C 2007 From urn models to zero-range processes: statics and dynamics Ageing and the Glass Transition (Lecture Notes in Physics vol 716/2007) ed M Henkel and R Sanctuary (Berlin: Springer) chapter 6
22. Cornell S J, Kaski K and Stinchcombe R B 1991 Domain scaling and glassy dynamics in a one-dimensional Kawasaki Ising model Phys. Rev. B 44 12263