CREMASCHINI, Claudio and Massimo TESSAROTTO. First-principle proof of the modified collision boundary conditions for the hard-sphere system. Physics Letters A. NL - Nizozemsko, 2014, vol. 378, 26-27, p. 1760-1766. ISSN 0375-9601. Available from: https://dx.doi.org/10.1016/j.physleta.2014.04.054.
Other formats:   BibTeX LaTeX RIS
Basic information
Original name First-principle proof of the modified collision boundary conditions for the hard-sphere system
Authors CREMASCHINI, Claudio and Massimo TESSAROTTO.
Edition Physics Letters A, NL - Nizozemsko, 2014, 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.2014.04.054
UT WoS 000337884200002
Keywords in English classical statistical mechanics; hard-sphere system
Tags FÚ
Tags International impact, Reviewed
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 29/3/2021 12:55.
Abstract
A fundamental issue lying at the foundation of classical statistical mechanics is the determination of the collision boundary conditions that characterize the dynamical evolution of multi-particle probability density functions (PDF) and are applicable tosystems of hard-spheres undergoing multiple elastic collisions. In this paper it is proved that, when the deterministic N-body PDF is included in the class of admissible solutions of the Liouville equation, the customary form of collision boundary conditions adopted in previous literature becomes physically inconsistent and must actually be replaced by suitably modified collision boundary conditions.
PrintDisplayed: 21/5/2024 06:39