Pointwise decay of truncated correlations in chaotic states at low density

We study simple nonequilibrium distributions describing a classical gas of particles interacting via a pair potential \({\phi}(x/{\epsilon})\), in the Boltzmann-Grad scaling \({\epsilon} \rightarrow 0\). We establish bounds for truncated correlations (cumulants) of arbitrary order as a function of t...

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Bibliographic Details
Published in:arXiv.org 2024-06
Main Authors: Andrea Di Stefano, Simonella, Sergio, Winter, Raphael
Format: Article
Language:English
Subjects:
Particle decay
Online Access:Get full text
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Summary:We study simple nonequilibrium distributions describing a classical gas of particles interacting via a pair potential \({\phi}(x/{\epsilon})\), in the Boltzmann-Grad scaling \({\epsilon} \rightarrow 0\). We establish bounds for truncated correlations (cumulants) of arbitrary order as a function of the internal separation of particles in a cluster, showing exponential decay for finite range interactions.
ISSN:2331-8422