Non-equilibrium temperatures and heat transport in nanosystems with defects, described by a tensorial internal variable
type: Item
instance of: scholarly article
title: Non-equilibrium temperatures and heat transport in nanosystems with defects, described by a tensorial internal variable
zbMATH Open document ID: 1356.80023
author: Liliana Restuccia
published in: Communications in Applied and Industrial Mathematics
publication date: 2016-10-18T00:00:00Z
review text: The paper considers a nano-system with defects under the influence of external energy flux. The concept of non-equilibrium temperatures in nano-systems is explained wherein defects described by some internal variables have implications on overall heat transfer processes in the system. The paper introduces equilibrium versus non-equilibrium temperatures. In the framework of extended irreversible thermodynamics with intervals, a model is presented for defective nano-systems, e.g., crystals with dislocations or porous channels, carbon nanotubes in a solid matrix, and so on. Caloric and entropic non-equilibrium temperatures are explained for linear cases. The constitutive relations, the rate equations for the internal variables and heat flux are derived. Also, a generalized telegraphic heat equation with finite thermal disturbances for anisotropic and isotropic cases is derived.
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 82D80
Mathematics Subject Classification ID: 82C35
zbMATH DE Number: 6640351
zbMATH Keywords: non-equilibrium thermodynamics
zbMATH Keywords: internal variables
zbMATH Keywords: defects of dislocation
zbMATH Keywords: nanosystem
zbMATH Keywords: telegraph equation
MaRDI profile type: Publication
full work available at URL: caim-2016-0007
OpenAlex ID: W2464997931
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DOI: 10.1515/CAIM-2016-0007
description: scientific article; zbMATH DE number 6640351