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Low-Density Asymptotic Behavior of Observables of Hard Sphere Fluids
Joint Authors
Gerasimenko, Viktor
Gapyak, Igor
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-08
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The paper deals with a rigorous description of the kinetic evolution of a hard sphere system in the low-density (Boltzmann–Grad) scaling limit within the framework of marginal observables governed by the dual BBGKY (Bogolyubov–Born–Green–Kirkwood–Yvon) hierarchy.
For initial states specified by means of a one-particle distribution function, the link between the Boltzmann–Grad asymptotic behavior of a nonperturbative solution of the Cauchy problem of the dual BBGKY hierarchy for marginal observables and a solution of the Boltzmann kinetic equation for hard sphere fluids is established.
One of the advantages of such an approach to the derivation of the Boltzmann equation is an opportunity to describe the process of the propagation of initial correlations in scaling limits.
American Psychological Association (APA)
Gerasimenko, Viktor& Gapyak, Igor. 2018. Low-Density Asymptotic Behavior of Observables of Hard Sphere Fluids. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1119213
Modern Language Association (MLA)
Gerasimenko, Viktor& Gapyak, Igor. Low-Density Asymptotic Behavior of Observables of Hard Sphere Fluids. Advances in Mathematical Physics No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1119213
American Medical Association (AMA)
Gerasimenko, Viktor& Gapyak, Igor. Low-Density Asymptotic Behavior of Observables of Hard Sphere Fluids. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1119213
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119213