Ideal gas in nonextensive optimal Lagrange multipliers formalism

Abstract

Based on the prescription termed the optimal Lagrange multipliers formalism for extremizing the Tsallis entropy indexed by q, it is shown that key aspects of the treatment of the ideal gas problem are identical in both the nonextensive and extensive cases.

5 pages, no figures

References in corpus (1)

• Tsallis' entropy maximization procedure revisited

Cited by in corpus (30)

• Nonextensive thermodynamic relations
• A critique of non-extensive q-entropy for thermal statistics
• Equivalence of the four versions of Tsallis statistics
• Connections between Tsallis' formalisms employing the standard linear average energy and ones employing the normalized $q$-average energy
• On the generalized entropy pseudoadditivity for complex systems
• Jeans criterion in nonextensive statistical mechanics
• Tsallis thermostatics as a statistical physics of random chains
• Extensive form of equilibrium nonextensive statistics
• A non self-referential expression of Tsallis' probability distribution function
• q-Thermostatistics and the black-body radiation problem
• Energy fluctuations and the ensemble equivalence in Tsallis statistics
• A new form of Tsallis distribution based on the probabilistically independent postulate
• More Accurate Theory for Bose-Einstein Condensation Fraction
• Many-body q-exponential distribution prescribed by factorization hypothesis
• q-thermostatistics and the analytical treatment of the ideal Fermi gas
• Thermal and mechanical equilibrium among weakly interacting systems in generalized thermostatistics framework
• The q-exponential family in statistical physics
• Intensive variables in the framework of the non-extensive thermostatistics
• Specific heat and entropy of $N$-body nonextensive systems
• Rescaling the nonadditivity parameter in Tsallis thermostatistics
• Stability analysis of the classical ideal gas in nonextensive statistics and the negative specific heat
• Black Hole Thermodynamics via Tsallis Statistical Mechanics
• Non-extensivity of the configurational density distribution in the classical microcanonical ensemble
• Energy distribution and energy fluctuation in Tsallis statistics
• Equilibrium statistical mechanics for incomplete nonextensive statistics
• Possible canonical distributions for finite systems with nonadditive energy
• The adiabatic static linear response function in nonextensive statistical mechanics
• Thermodynamics arising from Tsallis' thermostatistics
• Grand canonical ensemble in generalized thermostatistics
• Thermodynamical Test of Non Extensive Thermostatistics