A Thermodynamic Geometric Study Of Complex Entropies : Statistical Fluctuations: Shannon, Renyi, Tsallis, Abe And Structural Configurations pdf
A Thermodynamic Geometric Study Of Complex Entropies : Statistical Fluctuations: Shannon, Renyi, Tsallis, Abe And Structural Configurations pdf

A Thermodynamic Geometric Study Of Complex Entropies : Statistical Fluctuations: Shannon, Renyi, Tsallis, Abe And Structural Configurations.cBhupendra Nath Tiwari
A Thermodynamic Geometric Study Of Complex Entropies : Statistical Fluctuations: Shannon, Renyi, Tsallis, Abe  And Structural Configurations
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Author: Bhupendra Nath Tiwari
Page Count: 108 pages
Published Date: 26 Jul 2011
Publisher: LAP Lambert Acad. Publ.
Publication Country: none
Language: English
ISBN: 9783845420691
File size: 47 Mb
Download Link: A Thermodynamic Geometric Study Of Complex Entropies Statistical Fluctuations Shannon, Renyi, Tsallis, Abe And Structural Configurations
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From the perspective of statistical mechanics, the present research offers intrinsic Riemannian geometric investigation towards the fluctuation theory of complex systems. The entropic formulation is considered as the principle ingredient which enables to obtain connection between the statistical mechanics and the corresponding thermodynamics. Away from the standard Shannon system, we provide modeling for the complex entropies, viz., the Renyi, Tsallis, Abe and structural systems. For thermally excited one, two and three particle configurations, we find that the local statistical pair correlation functions, determined by the components of covariant metric tensor of the thermodynamic geometry of associated entropies possess well defined, definite expressions. In all the above mentioned cases, we notice a non-degenerate intrinsic Riemannian manifold. In contrast to the Gibbs-Shannon entropy, the highlighting of the present study is that a finite particle descriptions of the complex statistical configurations correspond to an interacting system.

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