Stochastic grain growth model based on a variational principle for dissipative systems

Fabrizio Cleri

Research output: Contribution to journalArticle

26 Citations (Scopus)


A stochastic model for the evolution of a cellular network driven by dissipative forces is presented. The model is based on a variational formulation for the dissipated power, from which we obtain an expression for the transition-rate generating function to be used in kinetic Monte Carlo simulations. The model canonical variables are the positions and velocities of the network vertices where cell walls meet. We apply such a model to the study of grain growth in two dimensions, in which the network represents a cross-section of a polycrystalline microstructure and the cell walls represent grain boundaries. The results of the stochastic grain-growth model for relevant statistical quantities are compared to deterministic model results and analytic theories.
Original languageEnglish
Pages (from-to)339 - 354
Number of pages16
JournalPhysica A: Statistical Mechanics and its Applications
Issue number3
Publication statusPublished - 15 Jul 2000
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

Cite this