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 gravity model.
Weakly nonlocal nonequilibrium thermodynamics: the Cahn-Hilliard equation
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abstract
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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cond-mat.stat-mech 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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Variational principles and thermodynamics
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 gravity model.