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

DOI10.1515/CAIM-2016-0014zbMath1422.80003OpenAlexW2346982264MaRDI QIDQ325613

Vito Antonio Cimmelli, David Jou

Publication date: 18 October 2016

Published in: Communications in Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/caim-2016-0014

zbMATH Keywords

nonequilibrium processesnonlocal effectsFourier lawnonlinear effectsheat transport equationsnanosystemsthermoelectric effects

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Thermodynamics of continua (80A17) Theory of constitutive functions in solid mechanics (74A20) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (7)

Hyperbolicity of the ballistic-conductive model of heat conduction: the reverse side of the coin ⋮ Heat equations beyond Fourier: from heat waves to thermal metamaterials ⋮ Stochastic foundations of undulatory transport phenomena: generalized Poisson–Kac processes—part I basic theory ⋮ Differential consequences of balance laws in extended irreversible thermodynamics of rigid heat conductors ⋮ Hyperbolic heat/mass transport and stochastic modelling -- three simple problems ⋮ Relationships between rational extended thermodynamics and extended irreversible thermodynamics ⋮ Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations

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