On-Site Potential Creates Complexity in Systems with Disordered Coupling
Disordered Systems and Neural Networks
2023-06-21 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We calculate the average number of critical points of the energy landscape of a many-body system with disordered two-body interactions and a weak on-site potential. We find that introducing a weak nonlinear on-site potential dramatically increases to exponential in system size and give a complete picture of the organization of critical points. Our results extend solvable spin-glass models to physically more realistic models and are of relevance to glassy systems, nonlinear oscillator networks and many-body interacting systems.
Cite
@article{arxiv.2206.10554,
title = {On-Site Potential Creates Complexity in Systems with Disordered Coupling},
author = {Igor Gershenzon and Bertrand Lacroix-A-Chez-Toine and Oren Raz and Eliran Subag and Ofer Zeitouni},
journal= {arXiv preprint arXiv:2206.10554},
year = {2023}
}