Fluctuation of energy in the generalized thermostatistics

Abstract

We calculate the fluctuation of the energy of a system in Tsallis statistics following the finite heat bath canonical ensemble approach. We obtain this fluctuation as the second derivative of the logarithm of the partition function plus an additional term. We also find an explicit expression for the relative fluctuation as related to the number of degrees of freedom of the bath and the composite system.

arXiv comment9 pages. submited to Physica A

References in corpus (5)

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• Open Problems within Nonextensive Statistical Mechanics
• Thermal entanglement of Hubbard dimers in the nonextensive statistics
• Numerical calculation of the energy relative fluctuation for a system in contact with a finite heat bath
• Model-free derivations of the Tsallis factor: constant heat capacity derivation
• Two-time Green's functions and spectral density method in nonextensive quantum statistical mechanics