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

Tiwari, Bhupendra Nath; Chandra, Vinod; Banerjee, Subhashish

 
9783845420691: A Thermodynamic Geometric Study Of Complex Entropies: Statistical Fluctuations: Shannon, Renyi, Tsallis, Abe And Structural Configurations
Couverture souple
ISBN 10 : 3845420693 ISBN 13 : 9783845420691
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Biographie de l'auteur

Dr. Bhupendra Nath Tiwari is Postdoctoral Research Fellow at INFN Laboratori Nazionali di Frascati, Rome, Italy. Dr. Vinod Chandra is Visiting Fellow at Tata Institute of Fundamental Rresearch, Mumbai, India. Dr. Subhashish Banerjee is Professor at Indian Institute of Technology Rajasthan, Jodhpur, India.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
3845420693
ISBN 13 
9783845420691
Reliure
Broché
Nombre de pages
108
Coordonnées du fabricant
non disponible
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