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 | |
|---|---|---|---|
|
Pulvirenti_postprint_On-the-cardinality_2020.pdf
solo gestori archivio
Tipologia:
Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza:
Creative commons
Dimensione
273.03 kB
Formato
Adobe PDF
|
273.03 kB | Adobe PDF | Contatta l'autore |
|
Pulvirenti_On-the-cardinality_2020.pdf.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
421.81 kB
Formato
Adobe PDF
|
421.81 kB | Adobe PDF | Contatta l'autore |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
