Classical gases with singular densities

2022/12/22 by Di Persio, Luca, Kondratiev, Yuri, Vardanyan, Viktorya · 1 citation
#05A40 #46E50 #60G55 #60H40 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2212.11902

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.

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• Gibbs measure over the cone of vector-valued discrete measures

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