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Entropy 2014, 16(4), 2362-2383; doi:10.3390/e16042362

Gyarmati’s Variational Principle of Dissipative Processes

Institute of Physics, Budapest University of Technology and Economy, H-1521, Budapest, Hungary
Received: 30 November 2013 / Revised: 11 April 2014 / Accepted: 16 April 2014 / Published: 24 April 2014
(This article belongs to the Special Issue Advances in Methods and Foundations of Non-Equilibrium Thermodynamics)
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Abstract

Like in mechanics and electrodynamics, the fundamental laws of the thermodynamics of dissipative processes can be compressed into Gyarmati’s variational principle. This variational principle both in its differential (local) and in integral (global) forms was formulated by Gyarmati in 1965. The consistent application of both the local and the global forms of Gyarmati’s principle provides all the advantages throughout explicating the theory of irreversible thermodynamics that are provided in the study of mechanics and electrodynamics by the corresponding classical variational principles, e.g., Gauss’ differential principle of least constraint or Hamilton’s integral principle.
Keywords: entropy production; second principle of thermodynamics; parabolic differential equation derived from variational principle; Gyarmati’s principle; The Governing Principle of Dissipative Processes (GPDP) entropy production; second principle of thermodynamics; parabolic differential equation derived from variational principle; Gyarmati’s principle; The Governing Principle of Dissipative Processes (GPDP)
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Verhás, J. Gyarmati’s Variational Principle of Dissipative Processes. Entropy 2014, 16, 2362-2383.

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