Replica method and finite volume corrections
Disordered Systems and Neural Networks
2015-05-14 v1 Statistical Mechanics
Abstract
In this note we introduce a method to calculate the finite volume corrections to the mean field results for the free energy when replica symmetry is broken at one-step. We find that the naive results are modified by the presence of additional corrections: these corrections can be interpreted as arising from fluctuations in the size of the blocks in the replica approach. The computation suggests a new approach for deriving the replica broken results in a rigorous way.
Cite
@article{arxiv.0911.1313,
title = {Replica method and finite volume corrections},
author = {Matteo Campellone and Giorgio Parisi and Miguel Angel Virasoro},
journal= {arXiv preprint arXiv:0911.1313},
year = {2015}
}
Comments
10 pages