Numerical Simulations of Phase Transitions in Crystals and a Global Free Energy Minimisation Algorithm (original) (raw)

Abstract

A model describing phase transitions in crystals coupled with diusion and linear elasticity under isothermal conditions is studied numerically in two space dimensions. For the minimisation of the free energy w.r.t. the phase parameter an algorithm based on the level set approach is presented to- gether with an extension based on the isoperimet- ric inequality that allows to find a global minimum in most cases.

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