Density operators that extremize Tsallis entropy and thermal stability effects

C. Vignat and A. Plastino

Physica A: Statistical Mechanics and its Applications, 2006, vol. 361, issue 1, 139-160

Abstract: Quite general, analytical (both exact and approximate) forms for discrete probability distributions (PDs) that maximize Tsallis entropy for a fixed variance are here investigated. They apply, for instance, in a wide variety of scenarios in which the system is characterized by a series of discrete eigenstates of the Hamiltonian. Using these discrete PDs as “weights” leads to density operators of a rather general character. The present study allows one to vividly exhibit the effects of non-extensivity. Varying Tsallis’ non-extensivity index q one is seen to pass from unstable to stable systems and even to unphysical situations of infinite energy.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:361:y:2006:i:1:p:139-160

DOI: 10.1016/j.physa.2005.07.013

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