Thermodynamic stability criterion and fluctuation theory in nonextensive thermodynamics

Abstract

We have constructed a nonextensive thermodynamic formalism consisting of two sets of parallel Legendre transformation structures in previous papers. One is the physical set and the other is the Lagrange set. In this paper we study the thermodynamic stability criterion with a dual interpretation of the thermodynamic relations and quantities. By recourse to the assumption that volume in nonextenstive system is nonadditive, we conclude that it is the physical pressure that is responsible for the mechanical balance between any two parts in a given nonextensive system. It is verified that in the physical set of transformation structures, the stability criterion can be expressed in terms of heat capacity and isothermal compressibility. We also discuss the fluctuation theory in nonextensive thermodynamics.

arXiv comment13 pages, 41 references

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Cited by in corpus (3)

• The nonextensive statistical ensembles with dual thermodynamic interpretations
• The dual formalisms of nonextensive thermodynamics for open systems with maximum entropy principle
• Thermodynamic properties of the solid and metal electrons in the nonextensive quantum statistics with a nonextensive parameter transformation