Numerical estimate of finite size corrections to the free energy of the SK model using Guerra--Toninelli interpolation

Alain Billoire

doi:10.1103/PhysRevB.73.132201

paper

Numerical estimate of finite size corrections to the free energy of the SK model using Guerra--Toninelli interpolation

arXiv:cond-mat/0512050 · doi:10.1103/PhysRevB.73.132201

Abstract

I use an interpolating formula introduced by Guerra and Toninelli to investigate numerically the finite size corrections to the free energy of the Sherrington--Kirkpatrick model. The results are compatible with a $(1/12 N) ln (N / N_{0})$ behavior at $T_{c}$ , as predicted by Parisi, Ritort and Slanina, and a $1/ N^{2/3}$ behavior below $T_{c}$ .