Non-equilibrium temperatures and heat transport in nanosystems with defects, described by a tensorial internal variable

DOI10.1515/CAIM-2016-0007zbMath1356.80023OpenAlexW2464997931MaRDI QIDQ325595

Liliana Restuccia

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-2016-0007

zbMATH Keywords

internal variablestelegraph equationnon-equilibrium thermodynamicsdefects of dislocationnanosystem

Mathematics Subject Classification ID

Theory of constitutive functions in solid mechanics (74A20) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (4)

Generalized ballistic-conductive heat transport laws in three-dimensional isotropic materials ⋮ Heat equations beyond Fourier: from heat waves to thermal metamaterials ⋮ Hydrodynamical model of anisotropic, polarized turbulent superfluids. I: Constraints for the fluxes ⋮ When theories and experiments meet: rarefied gases as a benchmark of non-equilibrium thermodynamic models

Cites Work

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• Phase-space growth rates, local Lyapunov spectra, and symmetry breaking for time-reversible dissipative oscillators
• Systematic remarks on objectivity and frame-indifference, liquid crystal theory as an example
• A macroscopic description of geometrical pore structure of porous solids
• Is the Fourier theory of heat propagation paradoxical!
• Non-equilibrium thermodynamics with applications to solids. Dedicated to the memory of Professor Theodor Lehmann. Notes for the Advanced School on Non-equilibrium thermodynamics with applications to solids, International Centre for Mechanical Sciences, Udine, Italy, September 1992
• A sketch of continuum thermodynamics
• Nonequilibrium temperatures and second-sound propagation along nanowires and thin layers
• Method of Lagrange multipliers for exploitation of the entropy principle
• An extended thermodynamic model of transient heat conduction at sub-continuum scales

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