Publication Cover
Applicable Analysis
An International Journal
Volume 60, 1996 - Issue 3-4
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Original Articles

Free energy and dissipation rate for reaction diffusion processes of electrically charged species

, &
Pages 201-217 | Received 01 Nov 1995, Published online: 02 May 2007
 

Abstract

The paper deals with a special problem concerning the transport of electrically charged species via diffusion, drift, and reaction mechanisms. We prove for a variety of models that without knowing any a priori estimate for the chemical potentials one can estimate the free energy from above by the corresponding dissipation rate. The inequality presented here can be interpreted as a nonlinear analogue of Korn's Inequality or PoincarC's Inequality. As a consequence of our main result we show that the free energy approximates its equilibrium value exponentially as time tends to infinity.

1Supported by the BMBF under contract 03-GA7FVB-1.0M840

1Supported by the BMBF under contract 03-GA7FVB-1.0M840

Notes

1Supported by the BMBF under contract 03-GA7FVB-1.0M840

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