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Boltzmann Entropy: Generalization and Applications
Authors:CG Chakrabarti  Kajal De
Institution:(1) Department of Applied Mathematics, University of Calcutta, Calcutta, India;(2) Department of Applied Mathematics, Vidyasagar University, Midnapore, W.B., India
Abstract:The object of the paper is to generalize Boltzmann entropy to takeaccount of the subjective nature of a system. The generalized entropyor relative entropy so obtained has been applied to an ecologicalsystem leading to some interesting new results in violation ofexisting physical laws. The entropy was further developed to derive ageneralized macroscopic measure of relative entropy which plays asignificant role in the study of stability and evolution ofecological and chemical reaction systems.
Keywords:Boltzmann entropy  Subjectivity  Relative entropy  Equipartition law  Statistical Equilibrium  Ecological systems
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