  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.
