Random field Ising systems on a general hierarchical lattice: Rigorous inequalities
Statistical Mechanics
2018-09-19 v1 Disordered Systems and Neural Networks
Abstract
Random Ising systems on a general hierarchical lattice with both, random fields and random bonds, are considered. Rigorous inequalities between eigenvalues of the Jacobian renormalization matrix at the pure fixed point are obtained. These inequalities lead to upper bounds on the crossover exponents .
Keywords
Cite
@article{arxiv.cond-mat/0101013,
title = {Random field Ising systems on a general hierarchical lattice: Rigorous inequalities},
author = {Avishay Efrat and Moshe Schwartz},
journal= {arXiv preprint arXiv:cond-mat/0101013},
year = {2018}
}
Comments
LaTeX, 13 pages, figs. 1a,1b,2. To be published in PRE