<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We provide an overview on the problem of modeling heat transport at nanoscale and in far-from-equilibrium processes. A survey of recent results is summarized, and a conceptual discussion of them in the framework of Extended Irreversible Thermodynamics is developed.</p></abstract>

We provide an overview on the problem of modeling heat transport at nanoscale and in far-from-equilibrium processes. A survey of recent results is summarized, and a conceptual discussion of them in the framework of Extended Irreversible Thermodynamics is developed.

Constitutive equations for heat conduction in nanosystems and nonequilibrium processes: an overview

Departament de Física, Universitat Autònoma de Barcelona, Bellaterra, Catalonia, Spain

Institut d’Estudis Catalans, Barcelona, Catalonia, Spain

Department of Mathematics, Computer Science and Economics, University of Basilicata, Potenza, Italy

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

We provide an overview on the problem of modeling heat transport at nanoscale and in far-from-equilibrium processes. A survey of recent results is summarized,...

Constitutive equations for heat conduction in nanosystems and nonequilibrium processes: an overview

Published Online: May 20, 2016

Page range: 196 - 222

Received: Aug 06, 2015

Accepted: Aug 08, 2015

DOI: https://doi.org/10.1515/caim-2016-0014

Keywords
Fourier law, heat transport equations, nanosystems, nonlocal effects, nonlinear effects, thermoelectric effects, nonequilibrium processes

© 2016 David Jou et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Constitutive equations for heat conduction in nanosystems and nonequilibrium processes: an overview

Published Online: May 20, 2016

Page range: 196 - 222

Received: Aug 06, 2015

Accepted: Aug 08, 2015

DOI: https://doi.org/10.1515/caim-2016-0014

KeywordsFourier law, heat transport equations, nanosystems, nonlocal effects, nonlinear effects, thermoelectric effects, nonequilibrium processes

© 2016 David Jou et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Fourier law, heat transport equations, nanosystems, nonlocal effects, nonlinear effects, thermoelectric effects, nonequilibrium processes