An introduction to phase transitions in stochastic dynamical systems

Journal of Physics: Conference Series

Volumn 40, Issue 1, 2006, Pages 1-12

  Blythe, R A ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746594954     PISSN: 17426588     EISSN: 17426596     Source Type: Conference Proceeding    
DOI: 10.1088/1742-6596/40/1/001     Document Type: Article

References (44)

1. Henkel M, M Pleimling and R Sanctuary (eds) 2005 Ageing and the Glass Transition ed M Henkel, M Pleimling and R Sanctuary (Springer Verlag) In press
2. Kob W Introduction to the physics of glasses: From experiments to computer simulation In [1]
3. Krüger J Experiments on the glass transition In [1]
4. Debenedetti P G and F H Stillinger 2001 Supercooled liquids and the glass transition Nature 410 259
5. Angell C A 1995 Formation of glasses from liquids and biopolymers Science 267 1924
6. Bouchaud J-P, L F Cugliandolo, J Kurchan and M Mézard Out of equilibrium dynamics in spin-glasses and other glassy systems In [7]
7. Young A P 1997 Spin glasses and random fields ed A P Young (World Scientific, Singapore)
8. Vincent E Aging, rejuvenation and memory: the example of spin glasses In [1]
9. Bar-Yam Y 1997 Dynamics of complex systems (Addison-Wesley, Reading, Mass)
10. Kampen van N G 1992 Stochastic Processes in Physics and Chemistry (Elsevier, Amsterdam)
11. Zaslavsky G M 2005 Hamiltonian Chaos and Fractional Dynamics (OUP, Oxford)
12. Kelly F P 1979 Reversibility and stochastic networks (Wiley, New York)
13. Binder K and D W Heermann 1997 Monte Carlo Simulation in Statistical Physics Solid-State Sciences (Springer Verlag, Berlin)
14. Gardiner G W 2004 Handbook of stochastic methods Synergetics 3rd edn (Springer Verlag, Berlin)
15. Hänngi P, P Talkner and M Borkovec 1990 Reaction-rate theory: fifty years after Kramer Rev. Mod. Phys. 62 251
16. Newman M E J and G T Barkema 1999 Monte Carlo methods in statistical physics (Clarendon, Oxford)
17. Janke W Introduction to simulation techniques In [1]
18. Stanley H E 1987 Introduction to phase transitions and critical phenomena (OUP, Oxford)
19. Evans M R and R A Blythe 2002 Nonequilibrium dynamics in low-dimensional systems Physica A 313 110
20. Lancaster P and M Tismenetsky 1985 The theory of matrices 2nd edn (Academic, San Diego)
21. Harary F 1969 Graph theory (Addison-Wesley, Reading, Mass)
22. Blythe R A 2001 Nonequilibrium steady states and dynamical scaling regimes PhD Thesis (University of Edinburgh) Available from http://www.ph.ed.ac.uk/cmatter.links/rab-thesis
23. Brak R, J de Gier and V Rittenberg 2004 Nonequilibrium stationary states and equilibrium models with long range interactions J. Phys. A: Math. Gen. 37 4303
24. Yang C N and T D Lee 1952 Statistical theory of equations of state and phase transitions i: Theory of condensation Phys. Rev. 87 404
25. Lee T D and C N Yang 1952 Statistical theory of equations of state and phase transitions ii: Lattice gas and ising model Phys. Rev. 87 410
26. Bena I, M Droz and A Lipowski 2005 Statistical mechanics of equilibrium and nonequilibrium phase transitions: The Yang-Lee formalism Int. J. Mod. Phys. B To appear see also cond-mat/0510278
27. Blythe R A and M R Evans 2003 The Lee-Yang theory of equilibrium and nonequilibrium phase transitions Braz. J. Phys. 33 464
28. MacDonald C T, J H Gibbs and A C Pipkin 1968 Kinetics of biopolymerization on nucleic acid templates Biopolymers 6 1
29. Schadschneider A 2001 Statistical mechanics of traffic flow Physica A 285 101
30. Chowdhury D, A Schadschneider and K Nishinari 2005 Physics of transport and traffic phenomena in biology: from molecular motors and cells to organisms Preprint physics/0509025
31. Schütz G and E Domany 1993 Phase transitions in an exactly soluble one-dimensional exclusion process J. Stat. Phys. 72 277
32. Derrida B, M R Evans, V Hakim and V Pasquier 1993 Exact solution of a 1d asymmetric exclusion model using a matrix formulation J. Phys. A: Math. Gen. 26 1493
33. Andjel E D, M Bramson and T M Liggett 1988 Shocks in the asymmetric simple exclusion process Prob. Theor. Rel. Fields 78 231
34. Blythe R A and M R Evans 2002 Lee-Yang zeros and phase transitions in nonequilibrium steady states Phys. Rev. Lett. 89 080601
35. Bodineau T and B Derrida 2005 Current large deviations for asymmetric exclusion processes with open boundaries Preprint cond-mat/0509179
36. Depken M and R Stinchcombe 2004 Exact joint density-current probability function for the asymmetric exclusion process Phys. Rev. Lett. 93 040602
37. Derrida B, J L Lebowitz and E R Speer 2003 Exact large deviation functional of a stationary open driven difiusive system: the asymmetric exclusion process J. Stat. Phys. 110 775
38. Blythe R A, D A Johnston, W Janke and R Kenna 2004 The grand-canonical asymmetric exclusion process and the one-transit walk J. Stat. Mech.: Theor. Exp. 06001
39. Blythe R A, W Janke, D A Johnston and R Kenna 2004 Dyck paths, Motzkin paths and traffic jams J. Stat. Mech.: Theor. Exp. 10007
40. Castellani T and A Cavagna 2005 Spin-glass theory for pedestrians J. Stat. Mech.: Theor. Exp. 05012
41. Kurchan J Nonequilibrium work relations In [1]
42. Evans D J and D J Searles 2002 The fluctuation theorem Adv. Phys. 51 1529
43. Crooks G E 2000 Path-ensemble averages in systems driven far from equilibrium Phys. Rev. Lett. 61 2361
44. Lebowitz J L and H Spohn 1999 A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics J. Stat. Phys. 95 333