Work

Scaling limits of the Bouchaud and Dean trap model on Parisi’s tree in ergodic and aging time scales

Year: 2025

Type: article

Abstract: We take scaling limits of the Bouchaud and Dean trap model on Parisi’s tree in time scales where the dynamics is either ergodic (close to equilibrium) or aging (far from equilibrium). These results follow from a continuity theorem formulated for a certain kind of process on trees, which we call a cascading jump evolution, defined in terms of a collection of jump functions, with a cascading structure given by the tree.

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0263988

Authors: Luiz Renato Fontes, Andrea Karina Delgado

Institution: Universidade de São Paulo

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico

Awards: Stochastic systems modeling, G3364820047, Stochastic modeling of interacting systems, G7247826852, G8527371561