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Article

Speed-gradient Entropy Principle for Nonstationary Processes

by
Alexander Fradkov
Institute for Problems of Mechanical Engineering, Russian Academy of Sciences, 61, Bolshoy ave. V.O., 199178, Saint Petersburg, Russia
Entropy 2008, 10(4), 757-764; https://doi.org/10.3390/e10040757
Submission received: 24 May 2008 / Accepted: 1 December 2008 / Published: 8 December 2008

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

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MDPI and ACS Style

Fradkov, A. Speed-gradient Entropy Principle for Nonstationary Processes. Entropy 2008, 10, 757-764. https://doi.org/10.3390/e10040757

AMA Style

Fradkov A. Speed-gradient Entropy Principle for Nonstationary Processes. Entropy. 2008; 10(4):757-764. https://doi.org/10.3390/e10040757

Chicago/Turabian Style

Fradkov, Alexander. 2008. "Speed-gradient Entropy Principle for Nonstationary Processes" Entropy 10, no. 4: 757-764. https://doi.org/10.3390/e10040757

APA Style

Fradkov, A. (2008). Speed-gradient Entropy Principle for Nonstationary Processes. Entropy, 10(4), 757-764. https://doi.org/10.3390/e10040757

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