Chaos and information entropy production

Bag, Bidhan Chandra ; Chaudhuri, Jyotipratim Ray ; Ray, Deb Shankar (2000) Chaos and information entropy production Journal of Physics A: Mathematical and General, 33 (47). pp. 8331-8350. ISSN 0305-4470

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We consider a general N-degrees-of-freedom nonlinear system which is chaotic and dissipative, and show that the nature of chaotic diffusion is reflected in the correlation of fluctuation of the linear stability matrix for the equation of motion of the dynamical system whose phase space variables behave as stochastic variables in the chaotic regime. Based on a Fokker-Planck description of the system in the associated tangent space and an information entropy balance equation, a relationship between chaotic diffusion and the thermodynamically inspired quantities such as entropy production and entropy flux is established. The theoretical propositions have been verified by numerical experiments.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:59105
Deposited On:03 Sep 2011 11:59
Last Modified:18 May 2016 09:47

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