Reply to the comment on ``Incomplete equilibrium in long-range interacting systems'' by Tsallis et al

TL;DR

This paper is a formal reply addressing a comment on their previous work about incomplete equilibrium in long-range interacting systems, clarifying their position and response to the comment.

Contribution

The authors provide a formal response to a comment on their earlier research, clarifying their stance and addressing criticisms in the context of long-range interacting systems.

Findings

Rejection of the original comment's claims

Clarification of the authors' original findings

No new empirical data presented

Abstract

After the rejection of their comment [arXiv:cond-mat/0609399v1] to our Phys. Rev. Lett. {\bf 97}, 100601 (2006), the Authors informed us that an extended version of their comment is going to be published in a different journal under the direct editorial responsibility of one of them. We then decided to make publicly available our formal reply, originally prepared for publication in Phys. Rev. Lett.