We resume the investigation, started in [2], of the statistics of backward clusters in a gas of N hard spheres of small diameter ε. A backward cluster is defined as the group of particles involved directly or indirectly in the backwards-in-time dynamics of a given tagged sphere. We obtain an estimate of the average cardinality of clusters with respect to the equilibrium measure, global in time, uniform in ε, N for ε2N = 1 (Boltzmann-Grad regime).
On the cardinality of collisional clusters for hard spheres at low density / Pulvirenti, M; Simonella, S. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - (2021).
On the cardinality of collisional clusters for hard spheres at low density
Simonella S
2021
Abstract
We resume the investigation, started in [2], of the statistics of backward clusters in a gas of N hard spheres of small diameter ε. A backward cluster is defined as the group of particles involved directly or indirectly in the backwards-in-time dynamics of a given tagged sphere. We obtain an estimate of the average cardinality of clusters with respect to the equilibrium measure, global in time, uniform in ε, N for ε2N = 1 (Boltzmann-Grad regime).File | Dimensione | Formato | |
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