Reply to the comment on: "Thermostatistics of Overdamped Motion of Interacting Particles" [arXiv:1104.0697] by Y. Levin and R. Pakter

TL;DR

This paper refutes a comment by Levin and Pakter on their previous work, arguing that the comment is conceptually flawed, misleading, and based on inapplicable results, and clarifies the physical context of their original findings.

Contribution

The authors demonstrate that the critique by Levin and Pakter is unfounded and clarify the physical conditions under which their original results are valid.

Findings

Levin and Pakter's results correspond to a much stronger confining potential.

Their results are consistent when considering typical potential strengths.

In high vortex density regimes, Ginzburg-Landau equations are more appropriate.

Abstract

We show that the comment [arXiv:1104.0697] by Levin and Pakter on our work [arXiv:1008.1421] is conceptually unfounded, contains misleading interpretations, and is based on results of questionable applicability. We initially provide arguments to evince that, inexplicably, these authors simply choose to categorically dismiss our elaborated and solid conceptual approach, results and analysis, without employing any fundamental concepts or tools from Statistical Physics. We then demonstrate that the results of Levin and Pakter do not present any evidence against, but rather corroborates, our conclusions. In fact, the results shown in their comment correspond to a confining potential that is 1000 times stronger than the typical valued utilized in our study, therefore explaining the discrepancy between their results and ours. Furthermore, in this regime where higher vortex densities are involved, vortex cores might get so close to each other that can no longer be treated as point-like defects. As a consequence, Ginzburg-Landau equations should be employed instead, meaning that the physical conditions implied by the results of Levin and Pakter should be considered with caution in the context of the Physics of interacting superconducting vortexes.