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Weakly nonlocal nonequilibrium thermodynamics: the Cahn-Hilliard equation

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arxiv 1710.04204 v1 pith:VVDSATCE submitted 2017-10-10 cond-mat.stat-mech math-phmath.MP

Peter Ván This is my paper · ORCID
classification cond-mat.stat-mechmath-phmath.MP
keywords cahn-hilliardallen-cahnapproachconsiderationsconstitutivederivativesderiveddivergences
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The Cahn-Hilliard and Ginzburg-Landau (Allen-Cahn) equations are derived from the second law. The intuitive approach by separation of full divergences is supported by a more rigorous method, based on Liu procedure and a constitutive entropy flux. Thermodynamic considerations eliminate the necessity of variational techniques and explain the role of functional derivatives.

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Cited by 1 Pith paper

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  1. Variational principles and thermodynamics

    cond-mat.stat-mech 2019-08 conditional novelty 4.0 of 10

    The paper proposes the second law as a universal construction principle for evolution equations, illustrating it with thermodynamic derivations of Hamiltonian mechanics, Cahn-Hilliard type fluids, and a new inertial g...

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