Thermodynamic potentials and Thermodynamic Relations in Nonextensive Thermodynamics

Abstract

The generalized Gibbs free energy and enthalpy is derived in the framework of nonextensive thermodynamics by using the so-called physical temperature and the physical pressure. Some thermodynamical relations are studied by considering the difference between the physical temperature and the inverse of Lagrange multiplier. The thermodynamical relation between the heat capacities at a constant volume and at a constant pressure is obtained using the generalized thermodynamical potential, which is found to be different from the traditional one in Gibbs thermodynamics. But, the expressions for the heat capacities using the generalized thermodynamical potentials are unchanged.

7 pages

References in corpus (6)

• A nonextensive approach for the instability of current-driven ion-acoustic waves in space plasma
• Dust-acoustic instability driven by drifting ions and electrons in the dust plasma with Lorentzian kappa distribution
• Nonextensive effects on the relativistic nuclear equation of state
• Power-law statistics and stellar rotational velocities in the Pleiades
• A new form of Tsallis distribution based on the probabilistically independent postulate
• Heat capacity of the generalized two-atom and many-atom gas in nonextensive statistics

Cited by in corpus (5)

• Transport coefficients of the fully ionized plasma with kappa-distribution and in strong magnetic field
• The nonextensive statistical ensembles with dual thermodynamic interpretations
• Nonextensive thermodynamic relations based on the assumption of temperature duality
• Thermodynamic stability criterion and fluctuation theory in nonextensive thermodynamics
• The dual formalisms of nonextensive thermodynamics for open systems with maximum entropy principle