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

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

2005-04-20

arxiv.org/abs/cond-mat/0504516v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.physleta.2005.06.026

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.

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