Pointwise decay of truncated correlations in chaotic states at low density

Abstract

We study simple nonequilibrium distributions describing a classical gas of particles interacting via a pair potential $\varphi (x/\epsilon )$, in the Boltzmann-Grad scaling $\epsilon \to 0$. 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.

arXiv commentThis note has been significantly changed over the past years by S. Simonella and R. Winter. Unfortunately, they were unable to contact A. di Stefano during this period. Since the current version is almost entirely different from the preliminary work with A. di Stefano, it could not be verified that A. di Stefano is in agreement with publishing the article with their name

References in corpus (2)

• Abstract cluster expansion with applications to statistical mechanical systems
• On Rigorous Derivation of the Enskog Kinetic Equation

Cited by in corpus (1)

• Cluster expansion for a dilute hard sphere gas dynamics