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Generalized statistical mechanics: connection with thermodynamics

Journal of Physics A Mathematical and General · 1991 · Vol. 24(2) · pp. L69–L72
Evaldo M. F. CuradoConstantino Tsallis

Abstract

The authors show the manner through which the recent generalization by Tsallis (1988) of the Boltzmann-Gibbs statistics becomes consistent with a generalized thermodynamics preserving the Legendre-transformation framework of standard thermodynamics. In addition to that they generalize the Shannon additivity.

Statistical Mechanics and EntropyAdvanced Thermodynamics and Statistical MechanicsQuantum Mechanics and ApplicationsStatistical mechanicsGeneralizationLegendre transformationConnection (principal bundle)Tsallis entropyThermodynamicsStatistical physicsNon-equilibrium thermodynamicsMathematicsTsallis statistics
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