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Entropy 2008, 10(4), 757-764; doi:10.3390/e10040757

Speed-gradient Entropy Principle for Nonstationary Processes

Institute for Problems of Mechanical Engineering, Russian Academy of Sciences, 61, Bolshoy ave. V.O., 199178, Saint Petersburg, Russia
Received: 24 May 2008 / Accepted: 1 December 2008 / Published: 8 December 2008
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Abstract

The speed-gradient variational principle (SG-principle) for nonstationary far from equilibrium systems is formulated and illustrated by examples. The SG-model of transient (relaxation) dynamics for systems of a finite number of particles based on maximum entropy principle is derived. It has the form dX(t)/dt = AlnX(t); where X(t) is the vector of the cell populations, A is a symmetric matrix with two zero eigenvalues corresponding to mass and energy conservation laws.
Keywords: Nonequilibrium thermodynamics; variational principles; Maximum Entropy Principle Nonequilibrium thermodynamics; variational principles; Maximum Entropy Principle
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Fradkov, A. Speed-gradient Entropy Principle for Nonstationary Processes. Entropy 2008, 10, 757-764.

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