### Abstract

Language | English |
---|---|

Pages | 4385-4394 |

Number of pages | 10 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 35 |

Issue number | 20 |

DOIs | |

Publication status | Published - 10 May 2002 |

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### Keywords

- condensed matter
- statistical physics
- nonlinear systems
- spin-glass
- thermodynamic functions

### Cite this

*Journal of Physics A: Mathematical and Theoretical*,

*35*(20), 4385-4394. https://doi.org/10.1088/0305-4470/35/20/301

}

*Journal of Physics A: Mathematical and Theoretical*, vol. 35, no. 20, pp. 4385-4394. https://doi.org/10.1088/0305-4470/35/20/301

**Large deviation approach to the generalized random energy model.** / Dorlas, T C; Dukes, W M B.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Large deviation approach to the generalized random energy model

AU - Dorlas, T C

AU - Dukes, W M B

PY - 2002/5/10

Y1 - 2002/5/10

N2 - The generalized random energy model is a generalization of the random energy model introduced by Derrida to mimic the ultrametric structure of the Parisi solution of the Sherrington–Kirkpatrick model of a spin glass. It was solved exactly in two special cases by Derrida and Gardner. A complete solution for the thermodynamics in the general case was given by Capocaccia et al. Here we use large deviation theory to analyse the model in a very straightforward way. We also show that the variational expression for the free energy can be evaluated easily using the Cauchy–Schwarz inequality.

AB - The generalized random energy model is a generalization of the random energy model introduced by Derrida to mimic the ultrametric structure of the Parisi solution of the Sherrington–Kirkpatrick model of a spin glass. It was solved exactly in two special cases by Derrida and Gardner. A complete solution for the thermodynamics in the general case was given by Capocaccia et al. Here we use large deviation theory to analyse the model in a very straightforward way. We also show that the variational expression for the free energy can be evaluated easily using the Cauchy–Schwarz inequality.

KW - condensed matter

KW - statistical physics

KW - nonlinear systems

KW - spin-glass

KW - thermodynamic functions

UR - http://iopscience.iop.org/0305-4470

U2 - 10.1088/0305-4470/35/20/301

DO - 10.1088/0305-4470/35/20/301

M3 - Article

VL - 35

SP - 4385

EP - 4394

JO - Journal of Physics A: Mathematical and Theoretical

T2 - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 0305-4470

IS - 20

ER -