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Entropy 2008, 10(4), 757-764; doi:10.3390/e10040757
Article
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
(This article belongs to the Special Issue Concepts of Entropy and Their Applications - Papers presented at the Meeting at University of Melbourne, 26 November - 11 December 2007)
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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
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MDPI and ACS Style
Fradkov, A. Speed-gradient Entropy Principle for Nonstationary Processes. Entropy 2008, 10, 757-764.
AMA StyleFradkov A. Speed-gradient Entropy Principle for Nonstationary Processes. Entropy. 2008; 10(4):757-764.
Chicago/Turabian StyleFradkov, Alexander. 2008. "Speed-gradient Entropy Principle for Nonstationary Processes." Entropy 10, no. 4: 757-764.