Energy landscape statistics of the random orthogonal model

被引：1

作者：

Esposti, MD ^{[1
]}

Giardinà, C ^{[1
]}

Graffi, S ^{[1
]}

机构：

[1] Univ Bologna, Dipartimento Matemat, I-40127 Bologna, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 12期

关键词：

D O I：

10.1088/0305-4470/36/12/308

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The random orthogonal model (ROM) of Marinari-Parisi-Ritort [13, 14] is a model of statistical mechanics where the couplings among the spins are defined by a matrix chosen randomly within the orthogonal ensemble.. It reproduces the most relevant properties of the Parisi solution of the Sherrington-Kirkpatrick model. Here we compute the energy distribution, and work out an estimate for the two-point correlation function. Moreover, we show an exponential increase with the system size of the number of metastable states also for non-zero magnetic field.

引用

页码：2983 / 2994

页数：12

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