Inverse problem for Ising connection matrix with long-range interaction
Disordered Systems and Neural Networks
2020-12-15 v1
Abstract
In the present paper, we examine Ising systems on d-dimensional hypercube lattices and solve an inverse problem where we have to determine interaction constants of an Ising connection matrix when we know a spectrum of it eigenvalues. In addition, we define restrictions allowing a random number sequence to be a connection matrix spectrum. We use the previously obtained analytical expressions for the eigenvalues of Ising connection matrices accounting for an arbitrary long-range interaction and supposing periodic boundary conditions.
Keywords
Cite
@article{arxiv.2012.06778,
title = {Inverse problem for Ising connection matrix with long-range interaction},
author = {Leonid Litinskii and Boris Kryzhanovsky},
journal= {arXiv preprint arXiv:2012.06778},
year = {2020}
}
Comments
10 pages, 1 fugure