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On the Mathematical Structure of Thermodynamics with Internal Variables
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Published/Copyright:
June 1, 2005
Abstract
The mathematical properties of thermodynamics with internal variables are investigated in a general framework, both for the local and gradient theory. The consequences of the Second Law of Thermodynamics on the constitutive equations, together with some peculiar properties of the equilibrium states, are proved. The evolution equations of the internal variables are derived as a system of Hamilton equations resulting from a suitable Legendre's transformation.
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Published Online: 2005-06-01
Published in Print: 2001-09-11
Copyright © 2001 by Walter de Gruyter GmbH & Co. KG
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Articles in the same Issue
- The Rate of Entropy Change: Gravitational Effects
- A Nonequilibrium Evolution Criterion for Electromagnetic Bodies
- On the Mathematical Structure of Thermodynamics with Internal Variables
- Marangoni Instabilities In A Two Layer Fluid System
- Thermodynamic Transformations in Magnetically Polarizable Undeformable Media
- Rotational Viscosity in Linear Irreversible Thermodynamics and its Application to Neutron Stars
- Fluctuating Hydrodynamics and Irreversible Thermodynamics
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