Temperature and pressure in nonextensive thermostatistics

Abstract

The definitions of the temperature in the nonextensive statistical thermodynamics based on Tsallis entropy are analyzed. A definition of pressure is proposed for nonadditive systems by using a nonadditive effective volume. The thermodynamics of nonadditive photon gas is discussed on this basis. We show that the Stefan-Boltzmann law can be preserved within nonextensive thermodynamics.

Eur. Phys. Lett. (2003), in press

References in corpus (5)

• Nonextensive thermodynamic relations
• A critique of non-extensive q-entropy for thermal statistics
• Incomplete statistics and nonextensive generalization of statistical mechanics
• Extensive form of equilibrium nonextensive statistics
• Reply to C. Tsallis's "Comments on Critique of q-entropy for thermal statistics by M. Nauenberg"

Cited by in corpus (15)

• Measurement of neutral mesons in p+p collisions at sqrt(s) = 200 GeV and scaling properties of hadron production
• Thermodynamic equilibrium and its stability for Microcanonical systems described by the Sharma-Taneja-Mittal entropy
• Nonextensive Quantum H-Theorem
• Fractal geometry, information growth and nonextensive thermodynamics
• Non-extensive entropy from incomplete knowledge of Shannon entropy?
• Finite size analysis of a two-dimensional Ising model within a nonextensive approach
• Intensive variables in the framework of the non-extensive thermostatistics
• Thermal and mechanical equilibrium among weakly interacting systems in generalized thermostatistics framework
• Thermodynamic stability criterion and fluctuation theory in nonextensive thermodynamics
• Canonical Ensemble in Non-extensive Statistical Mechanics
• Possible canonical distributions for finite systems with nonadditive energy
• Equilibrium statistical mechanics for incomplete nonextensive statistics
• Inherent correlations between thermodynamics and statistic physics in extensive and nonextensive systems
• Phase diagram of a 2D Ising model within a nonextensive approach
• A composition of different $q$ nonextensive systems with the normalized expectation based on escort probability