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A non-local anisotropic model for phase transitions: asymptotic behaviour of rescaled energies

Published online by Cambridge University Press:  01 June 1998

Giovanni Alberti  and
Giovanni Bellettini
Giovanni Alberti
Affiliation:
Dipartimento di Matematica Applicata ‘U. Dini’, via Bonanno 25/B, I-56126 Pisa, Italy (email: alberti@sns.it, belletti@mail.dm.unipi.it)
Giovanni Bellettini
Affiliation:
Dipartimento di Matematica Applicata ‘U. Dini’, via Bonanno 25/B, I-56126 Pisa, Italy (email: alberti@sns.it, belletti@mail.dm.unipi.it)
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Abstract

In this paper we consider a non-local anisotropic model for phase separation in two-phase fluids at equilibrium, and show that when the thickness of the interface tends to zero in a suitable way, the classical surface tension model is recovered. Relevant examples are given by continuum limits of ferromagnetic Ising systems in equilibrium statistical mechanics.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 9 , Issue 3 , June 1998 , pp. 261 - 284
Copyright
Copyright © 1998 Cambridge University Press

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