The Spectral Density of a Spin System Calculated for Solvable Models
Disordered Systems and Neural Networks
2017-04-06 v1
Abstract
The relationship between the spectral density and free energy of a spin system is considered. The analytical expressions allowing for the calculation of the spectral density for solvable models are determined. A linear Ising model is taken for testing the approach. Additionally, the approach is used to analyze the spectral density of a 2D Ising model, a Bethe-lattice model and a mean-field model. Even a small change of the spectral density is shown to be able to radically change the parameters of the system.
Keywords
Cite
@article{arxiv.1704.01351,
title = {The Spectral Density of a Spin System Calculated for Solvable Models},
author = {B. V. Kryzhanovsky},
journal= {arXiv preprint arXiv:1704.01351},
year = {2017}
}
Comments
8 pages, 6 figures