Equipartition and Virial theorems in a nonextensive optimal Lagrange multipliers scenario

Abstract

We revisit some topics of classical thermostatistics from the perspective of the nonextensive optimal Lagrange multipliers (OLM), a recently introduced technique for dealing with the maximization of Tsallis' information measure. It is shown that Equipartition and Virial theorems can be reproduced by Tsallis' nonextensive formalism independently of the value of the nonextensivity index.

13 pages, no figures

References in corpus (1)

• Tsallis' entropy maximization procedure revisited

Cited by in corpus (14)

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• On the generalized entropy pseudoadditivity for complex systems
• Extensive form of equilibrium nonextensive statistics
• q-Thermostatistics and the black-body radiation problem
• Energy fluctuations and the ensemble equivalence in Tsallis statistics
• Thermodynamics and relativistic kinetic theory for q-generalized Bose-Einstein and Fermi-Dirac systems
• Many-body q-exponential distribution prescribed by factorization hypothesis
• q-thermostatistics and the analytical treatment of the ideal Fermi gas
• Specific heat and entropy of $N$-body nonextensive systems
• Thermodynamics arising from Tsallis' thermostatistics
• Thermodynamic relations and fluctuations in the Tsallis statistics
• Grand canonical ensemble in generalized thermostatistics
• Thermodynamical Test of Non Extensive Thermostatistics
• A class of energy based ensembles in Tsallis statistics