N-vicinity method and 1D Ising Model
Disordered Systems and Neural Networks
2018-11-22 v1
Abstract
For a 1D Ising model, we obtained an exact expression for the spectral density in an n-vicinity of the ground state and explained why our n-vicinity method with the Gaussian approximation of the spectral density did not applicable in this case. We also found an analytical expression for the distribution of magnetization at an arbitrary temperature. When the temperature tends to zero the distribution of magnetization gradually flattens.
Cite
@article{arxiv.1811.08703,
title = {N-vicinity method and 1D Ising Model},
author = {B. V. Kryzhanovsky and L. B. Litinskii},
journal= {arXiv preprint arXiv:1811.08703},
year = {2018}
}
Comments
12 pages, 3 figures