On the Cut-Off Prescriptions Associated with Power-Law Generalized Thermostatistics

A. M. Teweldeberhan; A. R. Plastino; H. G. Miller

doi:10.1016/j.physleta.2005.06.026

paper

On the Cut-Off Prescriptions Associated with Power-Law Generalized Thermostatistics

arXiv:cond-mat/0504516 · doi:10.1016/j.physleta.2005.06.026

Abstract

We revisit the cut-off prescriptions which are needed in order to specify completely the form of Tsallis' maximum entropy distributions. For values of the Tsallis entropic parameter $q > 1$ we advance an alternative cut-off prescription and discuss some of its basic mathematical properties. As an illustration of the new cut-off prescription we consider in some detail the $q$ -generalized quantum distributions which have recently been shown to reproduce various experimental results related to high $T_{c}$ superconductors.