Stationary states associated with phase separation in a pure material. I. The large latent heat case

J. C. Eilbeck; P. C. Fife; J. E. Furter; M. Grinfeld; M. Mimura

Stationary states associated with phase separation in a pure material. I. The large latent heat case

J. C. Eilbeck, P. C. Fife, J. E. Furter, M. Grinfeld, M. Mimura

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Abstract

We examine the change in bifurcation diagrams of stationary solutions of the one-dimensional phase field model (with zero-flux boundary conditions) as the energy of initial data of the dynamic problem and/or the latent heat are varied. We treat only the case of large enough latent heat, and obtain a picture which is remarkably similar to the one obtained in the Cahn-Hilliard equation by varying the mass constraint. © 1989.

Original language	English
Pages (from-to)	42-46
Number of pages	5
Journal	Physics Letters A
Volume	139
Issue number	1-2
Publication status	Published - 24 Jul 1989

Cite this

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title = "Stationary states associated with phase separation in a pure material. I. The large latent heat case",

abstract = "We examine the change in bifurcation diagrams of stationary solutions of the one-dimensional phase field model (with zero-flux boundary conditions) as the energy of initial data of the dynamic problem and/or the latent heat are varied. We treat only the case of large enough latent heat, and obtain a picture which is remarkably similar to the one obtained in the Cahn-Hilliard equation by varying the mass constraint. {\textcopyright} 1989.",

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AU - Eilbeck, J. C.

AU - Fife, P. C.

AU - Furter, J. E.

AU - Grinfeld, M.

AU - Mimura, M.

PY - 1989/7/24

Y1 - 1989/7/24

N2 - We examine the change in bifurcation diagrams of stationary solutions of the one-dimensional phase field model (with zero-flux boundary conditions) as the energy of initial data of the dynamic problem and/or the latent heat are varied. We treat only the case of large enough latent heat, and obtain a picture which is remarkably similar to the one obtained in the Cahn-Hilliard equation by varying the mass constraint. © 1989.

AB - We examine the change in bifurcation diagrams of stationary solutions of the one-dimensional phase field model (with zero-flux boundary conditions) as the energy of initial data of the dynamic problem and/or the latent heat are varied. We treat only the case of large enough latent heat, and obtain a picture which is remarkably similar to the one obtained in the Cahn-Hilliard equation by varying the mass constraint. © 1989.

UR - https://www.scopus.com/pages/publications/33745320706

M3 - Article

SN - 0375-9601

VL - 139

SP - 42

EP - 46

JO - Physics Letters A

JF - Physics Letters A

IS - 1-2

ER -

Stationary states associated with phase separation in a pure material. I. The large latent heat case

Abstract

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