TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.4.119
TI  - Universal and non-universal large deviations in critical systems
PY  - 2025/04/02
UR  - https://scipost.org/SciPostPhys.18.4.119
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 4
SP  - 119
A1  - Balog, Ivan
AU  - DELAMOTTE, Bertrand
AU  - Rancon, Adam
AB  - Rare events play a crucial role in understanding complex systems. Characterizing and analyzing them in scale-invariant situations is challenging due to strong correlations. In this work, we focus on characterizing the tails of probability distribution functions (PDFs) for these systems. Using a variety of methods, perturbation theory, functional renormalization group, hierarchical models, large $n$ limit, and Monte Carlo simulations, we investigate universal rare events of critical $O(n)$ systems. Additionally, we explore the crossover from universal to nonuniversal behavior in PDF tails, extending Cramér's series to strongly correlated variables. Our findings highlight the universal and nonuniversal aspects of rare event statistics. We also discuss the ubiquity of this power-law corrections to the leading compressed-exponential decay in these tails in and out-of-equilibrium.
ER  -

@Article{10.21468/SciPostPhys.18.4.119,
	title={{Universal and non-universal large deviations in critical systems}},
	author={Ivan Balog and Bertrand Delamotte and Adam Rançon},
	journal={SciPost Phys.},
	volume={18},
	pages={119},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.4.119},
	url={https://scipost.org/10.21468/SciPostPhys.18.4.119},
}