The Nature of the Probability Distribution Function of the Local Energy in Ising Spin Glass
| dc.creator | Kitatani, H. | |
| dc.creator | Aoki, A. | |
| dc.date | 2006-01-19 | |
| dc.date.accessioned | 2026-07-07T06:57:40Z | |
| dc.date.available | 2026-07-07T06:57:40Z | |
| dc.description | The nature of the probability distribution function of the local energy in the $\pm J$ Ising model has been investigated. At finite temperature, it has been derived that the probability distribution function must satisfy several relations at $p=1/2$ ($p$ is the concentrationof the ferromagnetic bond) and at Nishimori-line, respectively on any lattice in any dimension. They relate the probability distribution function corresponding to the local energy lower than $-\tanh (K)$ with that corresponding to the local enegy greater than $-\tanh (K)$. ($K$ is the inverse temperature.) The present results at Nishimori-line are, in a sense, generalization of Nishimori's result about the internal energy obtained by the local gauge transformation. Moreover, from the numerical calculation in the two-dimentional $\pm J$ Ising model, it is found that, in a certain temperature region, the probability distribution function of the local energy has several peaks which are related to the patterns of frustration around a bond of the lattice. | |
| dc.description | 10pages,2figures,submitted to J. Phys. A | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0601427 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0601427 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107054 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | The Nature of the Probability Distribution Function of the Local Energy in Ising Spin Glass | |
| dc.type | text |