Statistical properties of 1D spin glasses from first principles of classical mechanics
Disordered Systems and Neural Networks
2015-12-15 v1
Abstract
We study the classical 1D Heisenberg spin glasses. Based on the Hamilton equations we obtained the system of recurrence equations which allows to perform node-by-node calculations of a spin-chain. It is shown that calculations from first principles of classical mechanics lead to NP hard problem, that however in the limit of the statistical equilibrium can be calculated by P algorithm. For the partition function of the ensemble a new representation is offered in the form of one-dimensional integral of spin-chains' energy distribution.
Keywords
Cite
@article{arxiv.1512.04044,
title = {Statistical properties of 1D spin glasses from first principles of classical mechanics},
author = {A. S. Gevorkyan and V. V. Sahakyan},
journal= {arXiv preprint arXiv:1512.04044},
year = {2015}
}