Sunday, May 19, 2013

1305.3187 (Carlo Lucibello et al.)

Finite size corrections to disordered systems on Erdös-Rényi
random graphs

Carlo Lucibello, Flaviano Morone, Giorgio Parisi, Federico Ricci-Tersenghi, Tommaso Rizzo
We study the finite size corrections to the free energy density in disorder spin systems on sparse random graphs, using both replica theory and cavity method. We derive an analytical expressions for the $\ouN$ corrections in the replica symmetric phase as a linear combination of the free energies of open and closed chains. We perform a numerical check of the formulae on the Random Field Ising Model at zero temperature, by computing finite size corrections to the ground state energy density
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