A mathematical model of dynamics of non-isothermal phase separation

Hans Wilhelm Alt; Irena Pawlow

doi:10.1016/0167-2789(92)90078-2

A mathematical model of dynamics of non-isothermal phase separation

Hans Wilhelm Alt
, Irena Pawlow

Rheinische Friedrich-Wilhelms-Universität Bonn

Research output: Contribution to journal › Article › peer-review

96 Scopus citations

Abstract

A mathematical model of thermally activated phase separation in binary systems is proposed. The construction is based on the Landau-Ginzburg theory of phase transitions and non-equilibrium thermodynamics. The proposed system of differential equations represents an extension of the Cahn-Hilliard model to the non-isothermal situation. The model is shown to be consistent with the first principles of thermodynamics. The stability solutions is considered, and for the one-dimensional case numerical results are presented.

Original language	English
Pages (from-to)	389-416
Number of pages	28
Journal	Physica D: Nonlinear Phenomena
Volume	59
Issue number	4
DOIs	https://doi.org/10.1016/0167-2789(92)90078-2
State	Published - 15 Nov 1992
Externally published	Yes

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10.1016/0167-2789(92)90078-2

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title = "A mathematical model of dynamics of non-isothermal phase separation",

abstract = "A mathematical model of thermally activated phase separation in binary systems is proposed. The construction is based on the Landau-Ginzburg theory of phase transitions and non-equilibrium thermodynamics. The proposed system of differential equations represents an extension of the Cahn-Hilliard model to the non-isothermal situation. The model is shown to be consistent with the first principles of thermodynamics. The stability solutions is considered, and for the one-dimensional case numerical results are presented.",

author = "Alt, \{Hans Wilhelm\} and Irena Pawlow",

note = "Funding Information: Supported by SFB 256, University of Bonn. z Partially supported by the Research Program RP.I.02 of the Ministry of National Education, Warsaw, and SFB 256, University of Bonn.",

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AU - Alt, Hans Wilhelm

AU - Pawlow, Irena

N1 - Funding Information: Supported by SFB 256, University of Bonn. z Partially supported by the Research Program RP.I.02 of the Ministry of National Education, Warsaw, and SFB 256, University of Bonn.

PY - 1992/11/15

Y1 - 1992/11/15

N2 - A mathematical model of thermally activated phase separation in binary systems is proposed. The construction is based on the Landau-Ginzburg theory of phase transitions and non-equilibrium thermodynamics. The proposed system of differential equations represents an extension of the Cahn-Hilliard model to the non-isothermal situation. The model is shown to be consistent with the first principles of thermodynamics. The stability solutions is considered, and for the one-dimensional case numerical results are presented.

AB - A mathematical model of thermally activated phase separation in binary systems is proposed. The construction is based on the Landau-Ginzburg theory of phase transitions and non-equilibrium thermodynamics. The proposed system of differential equations represents an extension of the Cahn-Hilliard model to the non-isothermal situation. The model is shown to be consistent with the first principles of thermodynamics. The stability solutions is considered, and for the one-dimensional case numerical results are presented.

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U2 - 10.1016/0167-2789(92)90078-2

DO - 10.1016/0167-2789(92)90078-2

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SP - 389

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JO - Physica D: Nonlinear Phenomena

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ER -

A mathematical model of dynamics of non-isothermal phase separation

Abstract

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