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The dynamics of transition layers in solids with discontinuous chemical potentials
Author(s) -
Blesgen T.,
Luckhaus S.
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.685
Subject(s) - phase transition , isothermal process , correctness , vacancy defect , statistical physics , mathematics , distribution (mathematics) , dynamics (music) , thermodynamics , mathematical analysis , condensed matter physics , physics , algorithm , acoustics
We derive a two‐phase segregation model in solids under isothermal conditions where due to plastic effects the number of vacancies changes when crossing a transition layer, i.e. a reconstitutive phase transition. We show the thermodynamic correctness of the model and review the existence of weak solutions in suitable spaces. By a formal asymptotic analysis we study the dynamics of the interface and its dependence on the unsymmetric vacancy distribution. Copyright © 2006 John Wiley & Sons, Ltd.