Replica method and finite volume corrections

Details Replica method and finite volume corrections Replica method and finite volume corrections

2009-11-06

arxiv.org/abs/0911.1313v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages

Scientific paper

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.

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