Vacancy-driven ordering in a two-dimensional binary alloy

Domain growth in a system with nonconserved order parameter is studied. We simulate the usual Ising model for binary alloys with concentration 0.5 on a two-dimensional square lattice by Monte Carlo techniques. Measurements of the energy, jump-acceptance ratio, and order parameters are performed. Dyn...

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Detalhes bibliográficos
Autores: Vives i Santa-Eulàlia, Eduard, Planes Vila, Antoni
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:1993
País:España
Recursos:Universidad de Barcelona
Repositório:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/9910
Acesso em linha:https://hdl.handle.net/2445/9910
Access Level:Acceso aberto
Palavra-chave:Transformacions de fase (Física estadística)
Termodinàmica del desequilibri
Aliatges binaris
Mètode de Montecarlo
Phase transformations (Statistical physics)
Nonequilibrium thermodynamics
Binary systems (Metallurgy)
Monte Carlo method
Descrição
Resumo:Domain growth in a system with nonconserved order parameter is studied. We simulate the usual Ising model for binary alloys with concentration 0.5 on a two-dimensional square lattice by Monte Carlo techniques. Measurements of the energy, jump-acceptance ratio, and order parameters are performed. Dynamics based on the diffusion of a single vacancy in the system gives a growth law faster than the usual Allen-Cahn law. Allowing vacancy jumps to next-nearest-neighbor sites is essential to prevent vacancy trapping in the ordered regions. By measuring local order parameters we show that the vacancy prefers to be in the disordered regions (domain boundaries). This naturally concentrates the atomic jumps in the domain boundaries, accelerating the growth compared with the usual exchange mechanism that causes jumps to be homogeneously distributed on the lattice.