Work

Pointwise decay of cumulants and scaling regimes of chaotic states

Year: 2026

Type: preprint

Abstract: We consider nonequilibrium chaotic states of classical interacting particles in a family of scaling limits motivated by kinetic theory. The particle activity and the strength of the pair interaction are rescaled simultaneously, allowing for both dilute and non-dilute regimes. Using cluster expansion, we derive pointwise bounds for truncated correlation functions (cumulants) of arbitrary order. We cover stable finite-range interactions and repulsive Riesz potentials, including non-integrable tails in bounded macroscopic domains.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.36788

Authors: Rossi, Stefano, Simonella, Sergio, Vuoksenmaa, Aleksis

Institution: Sapienza University of Rome

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7224090876

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