Monte Carlo lattice-gas simulations of stable and unstable interfaces | Zendy

R. Harris | Zendy; Loki Jörgenson | Zendy; Martin Grant | Zendy

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Monte Carlo lattice-gas simulations of stable and unstable interfaces

Author(s) -

R. Harris,

Loki Jörgenson,

Martin Grant

Publication year - 1992

Publication title -

physical review a

Language(s) - English

Resource type - Journals

eISSN - 1094-1622

pISSN - 1050-2947

DOI - 10.1103/physreva.45.1024

Subject(s) - physics , monte carlo method , statistical physics , instability , lattice (music) , monte carlo molecular modeling , phase transition , hamiltonian (control theory) , hybrid monte carlo , dynamic monte carlo method , thermal , condensed matter physics , mechanics , thermodynamics , markov chain monte carlo , mathematical optimization , statistics , mathematics , acoustics

We describe numerical investigations of the dynamics of interfaces in two dimensions, using a Monte Carlo algorithm that combines elements of both the microcanonical and the canonical methods. We employ a lattice-gas Hamiltonian which corresponds to a system with a first-order phase transition, so that we can study interfaces between distinct thermodynamic phases. Results include the first numerical observation of roughening dynamics for Hohenberg and Halperin’s model C of critical dynamics, and the first numerical observation of the Mullins-Sekerka instability which results from the presence of a thermal gradient

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