Random Dynamics, Entropy Production and Fisher Information

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We analyze a specific role of probability density gradients in the theory of irreversible transport processes. The classic Fisher information and information entropy production concepts are found to be intrinsically entangled with the very notion of the Markovian diffusion process and that of the related (local) momentum conservation law.
Acta Phys. Pol. B 34, (2003), 3555-3568

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