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.
Entropy production in phase field theories
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abstract
Allen-Cahn (Ginzburg-Landau) dynamics for scalar fields with heat conduction is treated in rigid bodies using a non-equilibrium thermodynamic framework with weakly nonlocal internal variables. The entropy production and entropy flux is calculated with the classical method of irreversible thermodynamics by separating full divergences.
fields
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.