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

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 Tc superconductors.

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