Rejoinder on: Thermostatistics of Overdamped Motion of Interacting Particles

TL;DR

This paper clarifies that the model discussed by Andrade et al. does not relate to Tsallis entropy at any temperature, addressing misconceptions from a previous comment and reply in the context of statistical mechanics.

Contribution

The authors clarify the incorrect association of the model with Tsallis entropy, emphasizing the proper conceptual understanding in statistical mechanics.

Findings

The model is not related to Tsallis entropy at T=0.

The model's relation to Tsallis entropy at other temperatures is also invalid.

Clarification of conceptual misunderstandings in the original discussion.

Abstract

In their Reply [arXiv:1104.5036] to our Comment [arXiv:1104.0697] Andrade et al. state that we have "chosen to categorically dismiss their elaborate and solid conceptual approach without employing any concepts or tools from Statistical Mechanics". Because of the one page restriction imposed by PRL, we could not address all of the flaws of the original paper. Therefore, we are grateful to Andrade et al., for giving us an opportunity to further elaborate on our Comment. In this Rejoinder we show that the model studied by Andrade et al. has nothing to do with the Tsallis entropy either at T=0 or at any other temperature.