Modified Thouless-Anderson-Palmer equations for the Sherrington-Kirkpatrick spin glass: Numerical solutions

Article

关键词: ORDER PARAMETERS;    SOLVABLE MODEL;   

DOI  :  10.1103/PhysRevB.65.224206

来源: SCIE

【 摘 要 】

For large but finite systems the static properties of the infinite-ranged Sherrington-Kirkpatrick model are numerically investigated in the entire glass regime. The approach is based on the modified Thouless-Anderson-Palmer equations in combination with a phenomenological relaxational dynamics used as a numerical tool. For all temperatures and all bond configurations, stable and metastable states are found. Following a discussion of the finite-size effects, the static properties of the state of lowest free energy are presented in the presence of a homogeneous magnetic field for all temperatures below the spin-glass temperature. Moreover some characteristic features of the metastable states are presented. These states exist in finite temperature intervals and disappear via local saddle-node bifurcations. Numerical evidence is found that the excess free energy of the metastable states remains finite in the thermodynamic limit. This implies a multivalley structure of the free energy on a subextensive scale.

【 授权许可】

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