The dynamics of transition layers in solids with discontinuous chemical potentials | Zendy

Blesgen T. | Zendy; Luckhaus S. | Zendy

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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.

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