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

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

2005-12-02

arxiv.org/abs/cond-mat/0512050v2

Phys. Rev. B 73, 132201 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevB.73.132201

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 $T_c$.

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