Upper Bound of Time Derivative of Information Entropy in Non-Markovian Stochastic Process

Authors: Majee P.1; Bag B.C.2

Source: Czechoslovak Journal of Physics, Volume 54, Number 4, April 2004 , pp. 389-396(8)

Publisher: Springer

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Abstract:

Based on the Fokker-Planck description of non-Markovian stochastic process in higher dimension and the Schwartz inequality principle, we have calculated upper bound of rate of entropy change for the thermodynamically closed systems. The interplay of frictional memory kernel and noise-correlation time reveals extremal nature of the upper bound.

Keywords: stochastic process; Fokker-Planck equation; frictional memory kernel; information entropy; Schwartz inequality

Document Type: Research article

DOI: 10.1023/B:CJOP.0000020578.20658.e4

Affiliations: 1: Department of Chemistry, Visva-Bharati, Santiniketan 731 235, India 2: Department of Chemistry, Visva-Bharati, Santiniketan 731 235, India, Email: pcbcb@yahoo.com

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