Intensive variables in the framework of the non-extensive thermostatistics

Abstract

By assuming an appropriate energy composition law between two systems governed by the same non-extensive entropy, we revisit the definitions of temperature and pressure, arising from the zeroth principle of thermodynamics, in a manner consistent with the thermostatistics structure of the theory. We show that the definitions of these quantities are sensitive to the composition law of entropy and internal energy governing the system. In this way, we can clarify some questions raised about the possible introduction of intensive variables in the context of non-extensive statistical mechanics.

14 pages, elsart style, version accepted on Physics Letters A

References in corpus (4)

• The maximization of Tsallis entropy with complete deformed functions and the problem of constraints
• Generalized Pearson distributions for charged particles interacting with an electric and/or a magnetic field
• Non-extensive entropy of bosonic Fibonacci oscillators
• Thermal and mechanical equilibrium among weakly interacting systems in generalized thermostatistics framework

Cited by in corpus (6)

• Zeroth Law compatibility of non-additive thermodynamics
• Entropic Forms and Related Algebras
• Nonadditive thermostatistics and thermodynamics
• Nonextensive thermodynamic relations based on the assumption of temperature duality
• Thermodynamic stability criterion and fluctuation theory in nonextensive thermodynamics
• Canonical Ensemble in Non-extensive Statistical Mechanics