Spectroscopy of phase transitions for multiagent systems
Statistical Mechanics
2021-06-08 v2 Chaotic Dynamics
Physics and Society
Abstract
In this paper we study phase transitions for weakly interacting multiagent systems. By investigating the linear response of a system composed of a finite number of agents, we are able to probe the emergence in the thermodynamic limit of a singular behaviour of the susceptibility. We find clear evidence of the loss of analyticity due to a pole crossing the real axis of frequencies. Such behaviour has a degree of universality, as it does not depend on either the applied forcing nor on the considered observable. We present results relevant for both equilibrium and nonequilibrium phase transitions by studying the Desai-Zwanzig and Bonilla-Casado-Morillo models.
Keywords
Cite
@article{arxiv.2104.00707,
title = {Spectroscopy of phase transitions for multiagent systems},
author = {Niccolo Zagli and Valerio Lucarini and Grigorios. A. Pavliotis},
journal= {arXiv preprint arXiv:2104.00707},
year = {2021}
}