Weakly nonlocal non-equilibrium thermodynamics: The Cahn-Hilliard equation

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

The Cahn-Hilliard and Ginzburg-Landau (Allen-Cahn) equations are derived from the second law. The intuitive approach of 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.

Original languageEnglish
Title of host publicationAdvanced Structured Materials
PublisherSpringer Verlag
Pages745-760
Number of pages16
DOIs
Publication statusPublished - Jan 1 2018

Publication series

NameAdvanced Structured Materials
Volume89
ISSN (Print)1869-8433
ISSN (Electronic)1869-8441

ASJC Scopus subject areas

  • Materials Science(all)

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  • Cite this

    Ván, P. (2018). Weakly nonlocal non-equilibrium thermodynamics: The Cahn-Hilliard equation. In Advanced Structured Materials (pp. 745-760). (Advanced Structured Materials; Vol. 89). Springer Verlag. https://doi.org/10.1007/978-3-319-72440-9_40