Product measures and dynamics for solid-on-solid interfaces

Pierre Collet, François Dunlop, Damien P. Foster, Thierry Gobron

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A two-species asymmetric exclusion process is considered with general transition rales subject only to the constraint of charge conservation. Conditions for the existence of a stationary product measure are found in both the cases of odd even parallel dynamics and continuous-time dynamics. The results are then applied to a one-dimensional restricted solid-on-solid model, considered as a model of driven interfacial growth, showing a nontrivial dependence of the stationary measure on the external driving field. The dependence of the growth velocity on the slope of the interface is given and interface shapes in finite volume with opposite boundary conditions are investigated numerically.

Original languageEnglish
Pages (from-to)509-536
Number of pages28
JournalJournal of Statistical Physics
Volume89
Issue number3-4
DOIs
Publication statusPublished - Nov 1997
Externally publishedYes

Fingerprint

Stationary Measure
Product Measure
Asymmetric Exclusion Process
Solid Model
products
exclusion
Finite Volume
Conservation
conservation
Continuous Time
Slope
Odd
Charge
boundary conditions
slopes
Boundary conditions
Model

Keywords

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

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Product measures and dynamics for solid-on-solid interfaces. / Collet, Pierre; Dunlop, François; Foster, Damien P.; Gobron, Thierry.

In: Journal of Statistical Physics, Vol. 89, No. 3-4, 11.1997, p. 509-536.

Research output: Contribution to journalArticle

Collet, Pierre ; Dunlop, François ; Foster, Damien P. ; Gobron, Thierry. / Product measures and dynamics for solid-on-solid interfaces. In: Journal of Statistical Physics. 1997 ; Vol. 89, No. 3-4. pp. 509-536.
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