The effects of nonlocality on the evolution of higher order fluxes in nonequilibrium thermodynamics

DOI10.1063/1.2101087zbMath1111.80001arXivcond-mat/0409254OpenAlexW2067098129MaRDI QIDQ3438673

Peter Ván, Vito Antonio Cimmelli

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0409254

Mathematics Subject Classification ID

Classical and relativistic thermodynamics (80A10) Foundations of thermodynamics and heat transfer (80A05) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (12)

Universality in heat conduction theory: weakly nonlocal thermodynamics ⋮ Thermodynamic approach to generalized continua ⋮ Theories and heat pulse experiments of non-Fourier heat conduction ⋮ Constitutive equations for heat conduction in nanosystems and nonequilibrium processes: an overview ⋮ Mesoscopic continuum thermodynamics for mixtures of particles with orientation ⋮ An extension of Liu procedure in weakly nonlocal thermodynamics ⋮ Exploitation of the second law: Coleman-Noll and Liu procedure in comparison ⋮ A phase-field approach to non-isothermal transitions ⋮ On the evolution of higher order fluxes in non-equilibrium thermodynamics ⋮ A new thermodynamic framework for second-grade Korteweg-type viscous fluids ⋮ Internal variables and dynamic degrees of freedom ⋮ Generalized heat-transport equations: parabolic and hyperbolic models

Cites Work

• Unnamed Item
• The thermodynamics of elastic materials with heat conduction and viscosity
• On the wave approach of thermodynamics and some problems of nonlinear theories
• Internal variables in the local-equilibrium approximation
• A gradient thermodynamic theory of self-organization
• A historical note on the entropy principle of Müller and Liu
• On the causality requirement for diffusive-hyperbolic systems in non-equilibrium thermodynamics
• The Ginzburg-Landau equation as a consequence of the Second Law
• Method of Lagrange multipliers for exploitation of the entropy principle
• Thermodynamics of Nonlocal Electromagnetism and Superconductivity
• Maximisation of the entropy in non-equilibrium
• Weakly nonlocal irreversible thermodynamics
• Weakly nonlocal irreversible thermodynamics - the Guyer-Krumhansl and the Cahn-Hilliard equations

This page was built for publication: The effects of nonlocality on the evolution of higher order fluxes in nonequilibrium thermodynamics