Energy landscape statistics of the random orthogonal model

M. Degli Esposti; C. Giardinà; S. Graffi

doi:10.1088/0305-4470/36/12/308

Energy landscape statistics of the random orthogonal model

M. Degli Esposti, C. Giardinà, S. Graffi

Research output: Contribution to journal › Article › Academic › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	2983-2994
Journal	Journal of Physics A: Mathematical and General
Volume	36
Issue number	2
DOIs	https://doi.org/10.1088/0305-4470/36/12/308
Publication status	Published - 2003

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title = "Energy landscape statistics of the random orthogonal model",

abstract = "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.",

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AU - Graffi, S.

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AB - 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.

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DO - 10.1088/0305-4470/36/12/308

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JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

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Energy landscape statistics of the random orthogonal model

Abstract

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