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Continuum Mechanics and Thermodynamics

, Volume 30, Issue 4, pp 889–915 | Cite as

Nonlocal approach to nonequilibrium thermodynamics and nonlocal heat diffusion processes

  • Rami Ahmad El-Nabulsi
Original Article

Abstract

We study some aspects of nonequilibrium thermodynamics and heat diffusion processes based on Suykens’s nonlocal-in-time kinetic energy approach recently introduced in the literature. A number of properties and insights are obtained in particular the emergence of oscillating entropy and nonlocal diffusion equations which are relevant to a number of physical and engineering problems. Several features are obtained and discussed in details.

Keywords

Nonlocal-in-time kinetic energy Nonequilibrium thermodynamics Oscillating entropy Nonlocal diffusion equations 

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Mathematics and Physics DivisionsAthens Institute for Education and ResearchKolonakiGreece

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