Multi-species asymmetric exclusion process in ordered sequential update

Journal of Physics A: Mathematical and General

Volumn 32, Issue 32, 1999, Pages 5845-5867

  Fouladvand, M E ^a   Jafarpour, F ^b  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

^b INSTITUTE FOR STUDIES IN THEORETICAL PHYSICS AND MATHEMATICS IPM   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033551651     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/32/301     Document Type: Article

References (37)

1. Privman V (ed) 1997 Nonequilibrium Statistical Mechanics in One Dimension (Cambridge: Cambridge University Press)
2. Schmittmann B and Zia R K P 1995 Statistical Mechanics of Driven Diffusive Systems (New York: Academic)
3. Spohn H 1991 Large Scale Dynamics of Interacting Particles (Berlin: Springer)
4. Schütz G M 1999 Integrable stochastic many body systems Phase Transitions and Critical Phenomena ed C Domb and J Lebowitz (London: Academic)
5. Krug J 1991 Boundary induced phase transition in driven diffusive systems Phys. Rev. Lett. 67 1882
6. Evans M R, Foster D P, Godrèche C and Mukamel D 1995 Asymmetric exclusion model with two species: spontaneous symmetry breaking J. Stat. Phys. 80 69
7. Arndt P F, Heinzel T and Rittenberg V 1998 Spontaneous breaking of translational invariance and spatial condensation in stationary state on a ring Preprint cond-mat/9809123 (to appear in J. Stat. Phys.)
8. Kandel D, Gershinsky G, Mukamel D and Derrida B 1993 Phase transition induced by a detect in growing interface model Phys. Scr. T 49 622
9. Janowsky S A and Lebowitz J L 1992 Finite size effects and shock fluctuations in an asymmetric simple exclusion process Phys. Rev. A 45 618
10. Kolomeisky A B 1998 Asymmetric simple exclusion model with local inhomogeneity J. Phys. A: Math. Gen 31 1153
11. Mallick K 1996 Shocks in the asymmetry exclusion model with an impurity J. Phys. A: Math. Gen. 29 5375
12. Lee H-W, Popkov V and Kim D 1997 Two way traffic flow: exactly solvable model of traffic jam J. Phys. A: Math. Gen. 30 8497
13. Derrida B 1998 An exactly soluble non-equilibrium system: the asymmetric simple exclusion model Phys. Rep. 301 65
14. Nagel K and Schreckenberg M 1992 J. Physique I 2 2221
15. Schreckenberg M, Schadschneider A, Nagel K and Ito N 1995 Discrete stochastic models for traffic flow Phys. Rev. E 51 2939
16. Wolf D E and Schreckenberg M (ed) 1998 Proc. workshop Traffic and Granular Flow '97 (Berlin: Springer)
17. Derrida B, Evans M R, Hakim V and Pasquier V 1993 Exact solution of a 1d asymmetric exclusion model using a matrix formulation J. Phys. A: Math. Gen. 26 1493
18. Derrida B, Janowsky S A, Lebowitz J L and Speers E R 1993 Exact solution of the totally ASEP: shock profiles J. Stat. Phys. 73 813
19. Evans M R 1996 Phase transitions in disordered exclusion models: Bose condensation in traffic flow Europhys. Lett. 36 1493
20. Krug J and Ferrari P A 1996 Phase transition in driven diffusive systems with random rates J. Phys. A: Math. Gen. 29 L465
21. Karimipour V 1999 A multi-species ASEP and its relation to traffic flow Phys. Rev. E 59 205
22. Karimipour V 1998 A multi-species ASEP, steady state and correlation functions on a periodic lattice Preprint cond-mat/9809193 (to appear in Eur. Phys. Lett.)
23. Alcaraz F C, Droz M, Henkel M and Rittenberg V 1994 Reaction-diffusion process, critical dynamics and quantum chains Ann. Phys. 230 250
24. Rajewsky N, Santen L, Schadschneider A and Schreckenberg M 1998 The asymmetric exclusion process: comparison of update procedures J. Stat. Phys. 92 151
25. Schütz G M 1993 Time-dependent correlation functions in a one-dimensional asymmetric exclusion process Phys. Rev. E 47 4265
26. Schütz G M 1993 Generalized Bethe ansatz solution of a one-dimensional asymmetric exclusion process on a ring with blockage J. Stat. Phys. 71 471
27. Hinrichsen H 1996 Matrix product ground states for exclusion processes with parallel dynamics J. Phys. A: Math. Gen. 29 3659
28. Hinrichsen H and Sandow S 1997 Deterministic exclusion process with a stochastic defect: matrix product ground states J. Phys. A: Math. Gen. 30 2745
29. Rajewsky N, Schadschneider A and Schreckenberg M 1996 The asymmetric exclusion model with sequential update J. Phys. A: Math. Gen. 29 L305
30. Honecker A and Peschel I 1997 Matrix-product states for a one-dimensional lattice gas with parallel dynamics J. Stat. Phys. 88 319
31. Evans MR 1997 Exactly steady state of disordered hopping particles with parallel and ordered sequential dynamics J. Phys. A: Math. Gen. 30 5669
32. Evans M R, Rajewsky N and Speer E R 1998 Exact solution of a cellular automaton for traffic J. Stat. Phys. 95 45
33. (Evans M R, Rajewsky N and Speer E R 1998 Exact solution of a cellular automaton for traffic Preprint cond-mat/9810306)
34. De Gier J and Nienhuis B 1999 Exact stationary state for an ASEP with fully parallel dynamics Phys. Rev. E 59 4899
35. Krebs K and Sandow S 1997 Matrix product eigenstates for one-dimensional stochastic models and quantum spin chains J. Phys. A: Math. Gen. 30 3165
36. Rajewsky N and Schreckenberg M 1997 Exact results for one-dimensional stochastic cellular automata for different types of updates Physica A 245 139
37. Rajewsky N, Schadschneider A and Schreckenberg M 1996 The asymmetric exclusion model with sequential update J. Phys. A: Math. Gen. 29 L305