Weakly nonlocal irreversible thermodynamics - the Guyer-Krumhansl and the Cahn-Hilliard equations

DOI10.1016/S0375-9601(01)00657-0zbMath0980.82026arXivcond-mat/0106568OpenAlexW2029164842MaRDI QIDQ5948469

Peter Ván

Publication date: 7 November 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0106568

zbMATH Keywords

entropy currentrate dependence

Mathematics Subject Classification ID

Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (10)

Universality in heat conduction theory: weakly nonlocal thermodynamics ⋮ Theories and heat pulse experiments of non-Fourier heat conduction ⋮ Generalized ballistic-conductive heat transport laws in three-dimensional isotropic materials ⋮ Heat equations beyond Fourier: from heat waves to thermal metamaterials ⋮ Nonlocal and nonlinear contributions to the thermal and elastic high-frequency wave propagations at nanoscale ⋮ Internal variables and dynamic degrees of freedom ⋮ On a free boundary problem for the relaxation transfer equation ⋮ On the evaluation of non-Fourier effects in heat pulse experiments ⋮ The fourth law of thermodynamics: steepest entropy ascent ⋮ The effects of nonlocality on the evolution of higher order fluxes in nonequilibrium thermodynamics

Cites Work

• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• Constitutive equations of rheological materials: Towards a thermodynamic unified approach
• Cahn-Hilliard theory and irreversible thermodynamics
• Weakly nonlocal and nonlinear heat transport in rigid solids
• An amendment to the second law
• A sketch of continuum thermodynamics
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
• Method of Lagrange multipliers for exploitation of the entropy principle
• On the mathematical structure of thermodynamics
• Reciprocity and consistency in non-local extended thermodynamics
• Multifield Description of Microcracked Continua: A Local Model

This page was built for publication: Weakly nonlocal irreversible thermodynamics - the Guyer-Krumhansl and the Cahn-Hilliard equations