The magnetization at high temperature for a p-spin interaction model with external field
This paper is devoted to a detailed and rigorous study of the magnetization at high temperature for a $p$-spin interaction model with external field, generalizing the Sherrington-Kirkpatrick model. In particular, we prove that $\left\langle\sigma_i\right\rangle$ (the mean of a spin with respect to t...
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2007 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/216549 |
| Acceso en línea: | https://hdl.handle.net/2445/216549 |
| Access Level: | acceso abierto |
| Palabra clave: | Mecànica estadística Processos gaussians Camps aleatoris Statistical mechanics Gaussian processes Random fields |
| Sumario: | This paper is devoted to a detailed and rigorous study of the magnetization at high temperature for a $p$-spin interaction model with external field, generalizing the Sherrington-Kirkpatrick model. In particular, we prove that $\left\langle\sigma_i\right\rangle$ (the mean of a spin with respect to the Gibbs measure) converges to an explicitly given random variable, and that $\left\langle\sigma_1\right\rangle, \ldots,\left\langle\sigma_n\right\rangle$ are asymptotically independent. |
|---|