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

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) (N/N0) behavior at Tc, as predicted by Parisi, Ritort and Slanina, and a 1/N2/3 behavior below Tc.

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