CREMASCHINI, Claudio and Massimo TESSAROTTO. Theory of collisional invariants for the Master kinetic equation. Physics Letters A. NL - Nizozemsko, 2015, vol. 379, 18-19, p. 1206-1212. ISSN 0375-9601. Available from: https://dx.doi.org/10.1016/j.physleta.2015.02.024.
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Basic information
Original name Theory of collisional invariants for the Master kinetic equation
Authors CREMASCHINI, Claudio and Massimo TESSAROTTO.
Edition Physics Letters A, NL - Nizozemsko, 2015, 0375-9601.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10300 1.3 Physical sciences
Confidentiality degree is not subject to a state or trade secret
WWW URL
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.1016/j.physleta.2015.02.024
UT WoS 000352173600003
Keywords in English classical statistical mechanics; hard-sphere system; collisional invariants; Boltzmann equation; statistical entropy density
Tags FÚ, GB14-37086G, GP14-07753P
Tags International impact, Reviewed
Links GB14-37086G, research and development project. GP14-07753P, research and development project.
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 29/3/2021 13:54.
Abstract
The paper investigates the integral conservation properties of the Master kinetic equation, which provides an exact kinetic statistical description for the Boltzmann-Sinai classical dynamical system. It is proved that, besides the customary Boltzmann collisional invariants, this equation admits also a class of generalized collisional invariants (GCI). The result applies only when the number N and the diameter sigma of hard-spheres are finite. This includes the case of dilute gases for which suitable asymptotic ordering conditions hold. However, when the Boltzmann-Grad limit is performed on the Master kinetic equation, it is shown that the existence of GCI is not permitted anymore.
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