An alternative approach to calculate the density of states in nonextensive statistical mechanics

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Date

2011

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Publisher

Elsevier B.V.

Abstract

A relation between the generalized partition function (Tsallis) and density of states is established by using the method of integral transform which enables reducing some integral equations into the algebraic equations. Inverse Mellin transformation of this equation gives the density of states. Similar relation is also hold the for standard partition function (Boltzmann-Gibbs) and the density of states. Using these relations, we recover the density of states for the classical ideal gas within both statistics. © 2010 Elsevier B.V. All rights reserved.

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Keywords

Algebra , Density of gases , Statistical mechanics , Algebraic equations , Density of state , Ideal gas , Integral transform , Mellin transformation , Nonextensive statistical mechanics , Nonextensive statistics , Partition functions , Integral equations

Citation

URI

http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18115

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