Solitons and Normal Random Matrices
Mathematical Physics
2023-10-31 v1 Statistical Mechanics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We discuss a general relation between the solitons and statistical mechanics and show that the partition function of the normal random matrix model can be obtained from the multi-soliton solutions of the two-dimensional Toda lattice hierarchy in a special limit.
Keywords
Cite
@article{arxiv.2309.09016,
title = {Solitons and Normal Random Matrices},
author = {I. M. Loutsenko and V. P. Spiridonov and O. V. Yermolayeva},
journal= {arXiv preprint arXiv:2309.09016},
year = {2023}
}