2004/09/01 by Fariel Shafee, Shafee, Fariel
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0409037
combined with arXiv:cond-mat/0410554 for IMA Journal of Applied Math online Oct 2007
arxiv created 2004/09/03 · arxiv updated 2009/12/01
We consider the problem of defining free energy and other thermodynamic functions when the entropy is given as a general function of the probablity distribution, including that for non extensive forms. We find that the free energy, which is central to the determination of all other quantities, can be obtained uniquely numerically ebven when it is the root of a transcendental equation. In particular we study the cases for Tsallis form and a new form proposed by us recently. We compare the free energy, the internal energy and the specific heat of a simple system two energy states for each of these forms.