Information-fluctuation inequalities for collective response
Statistical Mechanics
2026-03-03 v1
Abstract
Hidden stochastic effects acting uniformly on a many-particle system can generate strong correlations and macroscopic relative fluctuations that persist at large system sizes, even when the particles themselves remain causally independent. Here we derive a universal upper bound on relative fluctuations for a large class of observables, formulated in terms of a generalized mutual information between observable states and the hidden variable. This information-fluctuation inequality provides general insights into the principles governing collective response induced by global disorder. We demonstrate the result with applications to non-interacting Brownian gases exposed to various types of dynamical disorder.
Cite
@article{arxiv.2603.01852,
title = {Information-fluctuation inequalities for collective response},
author = {Kristian Stølevik Olsen},
journal= {arXiv preprint arXiv:2603.01852},
year = {2026}
}