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 $T_c$ superconductors.

References in corpus (20)

• Statistical mechanics in the context of special relativity
• Dynamical foundations of nonextensive statistical mechanics
• Thermodynamic Description of the Relaxation of Two-Dimensional Euler Turbulence Using Tsallis Statistics
• Non-Extensive Thermostatistical Approach of the Peculiar Velocity Function of Galaxy Clusters
• Power-Law Sensitivity to Initial Conditions within a Logistic-like Family of Maps: Fractality and Nonextensivity
• Superstatistics: Theory and Applications
• Universal renormalization-group dynamics at the onset of chaos in logistic maps and nonextensive statistical mechanics
• Sensitivity to initial conditions at bifurcations in one-dimensional nonlinear maps: rigorous nonextensive solutions
• Convergence of the critical attractor of dissipative maps: Log-periodic oscillations, fractality and nonextensivity
• Convergence to the critical attractor of dissipative maps: Log-periodic oscillations, fractality and nonextensivity
• Some Bounds upon Nonextensivity Parameter Using the Appropriate Generalized Distribution Functions
• Risk aversion in economic transactions
• Generalized statistical mechanics and fully developed turbulence
• Generalized Statistics and High Tc Superconductivity
• Nonextensive methods in turbulence and particle physics
• Generalized Statistics and the Formation a Quark-Gluon Plasma
• Asymmetric unimodal maps at the edge of chaos
• On the robust thermodynamical structures against arbitrary entropy form and energy mean value
• A Unified Grand Canonical Description of The Nonextensive Thermostatistics of The Quantum Gases: Fractal and Fractional Approach
• Asymmetric Unimodal Maps: Some Results from q-generalized Bit Cumulants

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