Universal and non-universal large deviations in critical systems
Year: 2025
Type: article
Abstract: 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 n limit, and Monte Carlo simulations, we investigate universal rare events of critical O(n) 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.
Source: SciPost Physics
Authors: Ivan Balog, Bertrand DELAMOTTE, Adam Rancon
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funders: Ministarstvo znanosti i obrazovanja, Université de Lille, Ministère de l'Europe et des Affaires Étrangères, Hrvatska Zaklada za Znanost, Ministère de l'Enseignement Supérieur et de la Recherche, Centre National de la Recherche Scientifique, Conseil National de la Recherche Scientifique, NextGenerationEU
Awards: G1206924360, G1526025197, G6294637697
OpenAlex ID: W4409109768