Product measures and dynamics for solid-on-solid interfaces

Journal of Statistical Physics

Volumn 89, Issue 3-4, 1997, Pages 509-536

  Collet, Pierre ^a   Dunlop, François ^b   Foster, Damien P ^b   Gobron, Thierry ^c  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

^b UNIVERSITÉ DE CERGY PONTOISE   (France)

^c LABORATOIRE DE PHYSIQUE DE LA MATIÈRE CONDENSÉE   (France)

Author keywords

Odd even dynamics; R SOS model; Stochastic lattice gas; Two species exclusion process

Indexed keywords

EID: 0347234254     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02765533     Document Type: Article

References (18)

1. S. Katz, J. L. Lebowitz and H. Spohn, Nonequilibrium Steady states of stochastic lattice gas models of fast ionic conductors, J. Stat. Phys. 34:497 (1984).
2. J. Krug and H. Spohn, Kinetic Roughening of Growing Surfaces, in "Solids far from equilibrium," C. Godrèche ed. (Cambridge University Press, Cambridge, 1991).
3. J. M. J. van Leeuwen and A. Kooiman, The Drift Velocity in the Rubinstein-Duke Model for Electrophoresis, Physica A84:79 (1992).
4. J. Krug and L-H. Tang, Disoder-induced unbinding in confined geometries, Phys. Rev. E50:104-115 (1994).
5. T.M. Liggett, A characterization of the invariant measures for an infinite particle system with interactions. I: Trans. Am. Math. Soc. 179:433 (1973); II: Trans. Am. Math. Soc. 198:201 (1974). F. Spitzer, Recurrent random walk on an infinite particle system, Trans. Am. Math. Soc. 198:191 (1974).
6. T.M. Liggett, A characterization of the invariant measures for an infinite particle system with interactions. I: Trans. Am. Math. Soc. 179:433 (1973); II: Trans. Am. Math. Soc. 198:201 (1974). F. Spitzer, Recurrent random walk on an infinite particle system, Trans. Am. Math. Soc. 198:191 (1974).
7. T.M. Liggett, A characterization of the invariant measures for an infinite particle system with interactions. I: Trans. Am. Math. Soc. 179:433 (1973); II: Trans. Am. Math. Soc. 198:201 (1974). F. Spitzer, Recurrent random walk on an infinite particle system, Trans. Am. Math. Soc. 198:191 (1974).
8. D. J. Gates, Growth and Decrescence of Two-Dimensional Crystals: A Markov Rate Process, J. Stat. Phys. 52:245-257 (1988).
9. D. J. Gates and M. Westcott, Seven Basic Regimes of Steady Crystal Growth in Two Dimensions, J. Stat. Phys. 77:199-215 (1994).
10. B. Derrida, M. R. Hakim, M. Evans, V. Pasquier, Exact solution of a 1D asymmetric exclusion model using a matrix formulation, J. Phys. A26:1493 (1993).
11. B. Derrida, S. A. Janowsky, J. L. Lebowitz and E. R. Speer, Microscopic Shock Profiles: Exact Solution of a Non-Equilibrium System, Europhys. Lett. 22:651-656 (1993); Exact Solution of the Totally Asymmetric Simple Exclusion Process: Shock Profiles, J. Stat. Phys. 73:813 (1993).
12. B. Derrida, S. A. Janowsky, J. L. Lebowitz and E. R. Speer, Microscopic Shock Profiles: Exact Solution of a Non-Equilibrium System, Europhys. Lett. 22:651-656 (1993); Exact Solution of the Totally Asymmetric Simple Exclusion Process: Shock Profiles, J. Stat. Phys. 73:813 (1993).
13. M. R. Evans, D. P. Foster, C. Godréche and D. Mukamel, Spontaneous symmetry breaking in a one-dimensional driven system. Phys. Rev. Lett. 74:208 (1995); Asymmetric exclusion model with two species: spontaneous symmetry breaking, J. Stat. Phys. 80:69 (1995).
14. M. R. Evans, D. P. Foster, C. Godréche and D. Mukamel, Spontaneous symmetry breaking in a one-dimensional driven system. Phys. Rev. Lett. 74:208 (1995); Asymmetric exclusion model with two species: spontaneous symmetry breaking, J. Stat. Phys. 80:69 (1995).
15. H. Hinrichsen, Matrix product ground states for exclusion processes with parallel dynamics, J. Phys. A 29:3659 (1996).
16. N. Rajewski, A. Schadschneider and M. Sehreckenberg, The asymmetric exclusion model with sequential update, J. Phys. A29:L305-L309 (1996).
17. F. Dunlop, M. Plapp, Scaling profiles of a spreading drop from Langevin or Monte Carlo dynamics, pp. 303-308 in "On Three Levels: Micro-, Meso- and Macro- Approaches in Physics," Edited by M. Fannes et al., Plenum Press, New-York (1994).
18. J. Krug, Boundary induced phase transitions in driven diffusive systems, Phys. Rev. Lett. 67:1882 (1991).