Classical gases with singular densities

TL;DR

This paper investigates classical gas systems with singular velocity distributions modeled by Radon measures, requiring new analytical tools due to the non-standard configurations of particle positions.

Contribution

It introduces a framework for analyzing classical gases with singular velocity distributions using Radon measures, addressing the challenge of non-standard particle configurations.

Findings

Developed new analytical methods for singular velocity distributions.

Extended the concept of configurations to include Radon measure-based distributions.

Provided insights into the structure of classical gases with infinite mass measures.

Abstract

We study classical continuous systems with singular distributions of velocities. Radon measures with the infinite mass give these distributions. Positions of particles in such systems are no longer usual configurations in the location space, leading to the necessity of developing new analytical tools to study considered models.