Weakly nonlocal nonequilibrium thermodynamics: the Cahn-Hilliard equation
Statistical Mechanics
2018-05-08 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1710.04204,
title = {Weakly nonlocal nonequilibrium thermodynamics: the Cahn-Hilliard equation},
author = {Peter Ván},
journal= {arXiv preprint arXiv:1710.04204},
year = {2018}
}
Comments
13 pages