Heat-pulse propagation along nonequilibrium nanowires in thermomass theory

Antonio Sellitto; Patrizia Rogolino; Isabella Carlomagno

doi:10.1515/caim-2016-0005

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Heat-pulse propagation along nonequilibrium nanowires in thermomass theory

Communications in Applied and Industrial Mathematics

Volume 7 (2016): Issue 2 (June 2016)

By: Antonio Sellitto, Patrizia Rogolino and Isabella Carlomagno

Open Access

|May 2016

Abstract

We analyze the consequences of the nonlinear terms in the heat-transport equation of the thermomass theory on heat pulses propagating in a nanowire in nonequilibrium situations. As a consequence of the temperature dependence of the speeds of propagation, in temperature ranges wherein the specific heat shows negligible variations, heat pulses will shrink (or extend) spatially, and will increase (or decrease) their average temperature when propagating along a temperature gradient. A comparison with the results predicted by a different theoretical proposal on the shape of a propagating heat pulse is made, too.

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Articles in this issue

DOI: https://doi.org/10.1515/caim-2016-0005 | Journal eISSN: 2038-0909

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Language: English

Page range: 39 - 55

Submitted on: Dec 16, 2014

Accepted on: Mar 9, 2015

Published on: May 20, 2016

Published by: Italian Society for Applied and Industrial Mathemathics

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

heat-waves propagation,

nonlinear effects,

energy-pulse propagation,

thermomass theory

Related subjects:

Mathematics,

Numerical and computational mathematics,

Applied mathematics

© 2016 Antonio Sellitto, Patrizia Rogolino, Isabella Carlomagno, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 7 (2016): Issue 2 (June 2016)