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

被引:12
|
作者
Billoire, A [1 ]
机构
[1] CEA Saclay, Serv Phys Theor, F-91191 Gif Sur Yvette, France
来源
PHYSICAL REVIEW B | 2006年 / 73卷 / 13期
关键词
D O I
10.1103/PhysRevB.73.132201
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
I use an interpolation formula, introduced recently by Guerra and Toninelli, in order to prove the existence of the free energy of the Sherrington-Kirkpatrick spin glass model in the infinite volume limit, to investigate numerically the finite-size corrections to the free energy of this model. The results are compatible with a (1/12N)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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页数:4
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