Correct thermodynamic forces in Tsallis Thermodynamics: connection with Hill Nanothermodynamics

Abstract

The equivalence between Tsallis Thermodynamics and Hill Nanothermodynamics is established. The correct thermodynamic forces in Tsallis thermodynamics are pointed out. Through this connection we also find a general expression for the entropic index $q$ which we illustrate with two physical examples, allowing in both cases to relate $q$ to the underlying dynamics of the Hamiltonian systems.

Accepted for publication in Phys. Lett. A

References in corpus (5)

• Stability of Tsallis antropy and instabilities of Renyi and normalized Tsallis entropies: A basis for q-exponential distributions
• A critique of non-extensive q-entropy for thermal statistics
• Ensemble averages and nonextensivity at the edge of chaos of one-dimensional maps
• Estimating the inelasticity with the information theory approach
• Coupling theory for counterion distributions based in Tsallis statistics

Cited by in corpus (4)

• Microcanonical foundation of nonextensivity and generalized thermostatistics based on the fractality of the phase space
• Some intriguing aspects of multiparticle production processes
• The $p\lambda n$ fractal decomposition: Nontrivial partitions of conserved physical quantities
• Simulation of the two-dimensional Potts model using nonextensive statistics