Comment on "Tsallis power laws and finite baths with negative heat capacity" [Phys. Rev. E 88, 042126 (2013)]

TL;DR

This paper challenges a previous claim by providing evidence that Tsallis distributions can indeed result from thermalization with a finite, energy-dependent heat capacity bath, thus clarifying their origin.

Contribution

It demonstrates that Tsallis distributions can arise from thermalization processes involving finite baths with energy-dependent heat capacities, countering prior assertions.

Findings

Tsallis distributions can originate from finite, energy-dependent heat capacity baths.

Contradicts previous claims that such distributions do not emerge from finite baths.

Provides evidence supporting the thermalization mechanism leading to Tsallis statistics.

Abstract

In [Phys. Rev. E 88, 042126 (2013)] it is stated that Tsallis distributions do not emerge from thermalization with a "bath" of finite, energy-independent, heat capacity. We report evidence for the contrary.