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.
Replica Method and Finite Volume Corrections / Matteo, Campellone; Parisi, Giorgio; Miguel Angel, Virasoro. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 138:1(2010), pp. 29-39. [10.1007/s10955-009-9891-1]
Replica Method and Finite Volume Corrections
PARISI, Giorgio;
2010
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
