Detailed Information on Publication Record
2015
Theory of collisional invariants for the Master kinetic equation
CREMASCHINI, Claudio and Massimo TESSAROTTOBasic 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
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10300 1.3 Physical sciences
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Organization unit
Institute of physics in Opava
UT WoS
000352173600003
Keywords in English
classical statistical mechanics; hard-sphere system; collisional invariants; Boltzmann equation; statistical entropy density
Tags
Tags
International impact, Reviewed
Links
GB14-37086G, research and development project. GP14-07753P, research and development project.
Změněno: 29/3/2021 13:54, Mgr. Pavlína Jalůvková
Abstract
V originále
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.