On the Dynamic Statistical Information Theory

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dc.creatorXiu-San, Xing
dc.date2005-04-30
dc.date.accessioned2026-07-07T03:04:59Z
dc.date.available2026-07-07T03:04:59Z
dc.descriptionWe extend present Shannon's static statistical information theory to dynamic processes and establish a dynamic statistical information theory. We derive the nonlinear evolution equations of dynamic information density and dynamic information entropy density. We present the expressions of drift information flow and diffusion information flow, the formulas of information entropy production rate and information dissipation rate. The information dissipation rate is equal to the information entropy production rate in a same dynamic system. Information diffusion and information dissipation occur at the same time. We obtain the dynamic mutual information and dynamic channel capacity reflecting the dynamic dissipation character in the transmission process. These derivations and results are unified and rigorous from evolution equations of dynamic information and dynamic information entropy without adding any extra assumption. Two actual dynamic topics are discussed.
dc.description27 pages, A Chinese version is published in "Thansanction of Beijing Institute of Technology, 24(1) (2004),1-15"
dc.identifierhttps://arxiv.org/abs/cond-mat/0505009
dc.identifierhttp://arxiv.org/abs/cond-mat/0505009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26295
dc.subjectStatistical Mechanics
dc.subjectMaterials Science
dc.titleOn the Dynamic Statistical Information Theory
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