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Series in Theoretical and Applied Mechanics - Vol. 9

ASPECTS OF NON-EQUILIBRIUM THERMODYNAMICS
Lectures on Fundamentals and Methods

by W Muschik (Technische Universität Berlin)

In six lectures aspects of modern non-equilibrium thermodynamics of discrete systems as well as continuum theoretical concepts are represented. Starting out with survey and introduction, state spaces are defined, the existence of internal energy is investigated, and Clausius inequality including negative absolute temperature is derived by diagram technique. Non-equilibrium contact quantities, such as contact temperature — the dynamic analogue of thermostatic temperature — and chemical potentials are phenomenologically defined and quantumstatistically founded. Using Clausius inequality the existence of non-negative entropy production is proved which allows to formulate a dissipation inequality in continuum thermodynamics. The transition between thermodynamics of discrete systems and continuum thermodynamics with respect to contact quantities is considered. Different possibilities of exploiting the dissipation inequality for getting constraints for constitutive equations are discussed. Finally hyperbolic heat conduction in non-extended thermodynamics is treated.


Contents:

  • Introduction
  • First Law
  • Second Law
  • Non-Equilibrium Contact Quantities and their Quantum-Statistical Foundation
  • Existence of Non-Negative Entropy Production
  • Continuum Thermodynamics


Readership: Physicists, physico-chemists, theoretical engineers and thermodynamicists.

112pp Pub. date: Nov 1989
ISBN 981-02-0087-0 US$29 / £20


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 4 July 2008