Comment on "Entropy of Classical Systems with Long-Range Interactions" by T.M. Rocha Filho et al, PRL 95, 190601 (2005)

TL;DR

This paper critically examines Rocha Filho et al.'s 2005 study on entropy in systems with long-range interactions, highlighting overlooked issues, inaccuracies, and questioning the broad applicability of their conclusions.

Contribution

The authors provide a detailed critique of Rocha Filho et al.'s claims, emphasizing debated points and inaccuracies in the original analysis.

Findings

Highlights overlooked debated points in the original study

Identifies inaccuracies and unsupported statements in the original paper

Questions the generality of Rocha Filho et al.'s conclusions

Abstract

In a recent letter (PRL 95, 190601 (2005)), T.M. Rocha Filho and coworkers address the very interesting issue of the entropic form to be used for Hamiltonians with long-range interactions. In our opinion the letter misses several points quite debated in the recent literature which are of fundamental importance for a complete discussion of this problem. Moreover it contains several statements which are not true or not corroborated by any evidence. In this comment we discuss these arguments and severely question the generality of the conclusions of this letter.