Additive entropy underlying the general composable entropy prescribed by thermodynamic meta-equilibrium

Abstract

We consider the meta-equilibrium state of a composite system made up of independent subsystems satisfying the additive form of external constraints, as recently discussed by Abe [Phys. Rev. E {\bf 63}, 061105 (2001)]. We derive the additive entropy $S$ underlying a composable entropy $\tilde{S}$ by identifying the common intensive variable. The simplest form of composable entropy satisfies Tsallis-type nonadditivity and the most general composable form is interpreted as a monotonically increasing funtion $H$ of this simplest form. This is consistent with the observation that the meta-equilibrium can be equivalently described by the maximum of either $H[\tilde{S}]$ or $\tilde{S}$ and the intensive variable is same in both cases.

Latex, 12 pages, discussion modified, accepted for Phys. Lett. A

References in corpus (6)

• Statistical mechanics in the context of special relativity
• Nonextensive thermodynamic relations
• General pseudoadditivity of composable entropy prescribed by existence of equilibrium
• Family of additive entropy functions out of thermodynamic limit
• Is Tsallis thermodynamics nonextensive?
• Composability and Generalized Entropy

Cited by in corpus (5)

• Nonadditive thermostatistics and thermodynamics
• Nonextensive thermodynamic relations based on the assumption of temperature duality
• Thermodynamic stability criterion and fluctuation theory in nonextensive thermodynamics
• Composable entropy and deviation from macroscopic equilibrium
• Composability in a certain family of entropies