J 2014

First-principle proof of the modified collision boundary conditions for the hard-sphere system

CREMASCHINI, Claudio and Massimo TESSAROTTO

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

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

000337884200002

Keywords in English

classical statistical mechanics; hard-sphere system

Tags

Tags

International impact, Reviewed
Změněno: 29/3/2021 12:55, Mgr. Pavlína Jalůvková

Abstract

V originále

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.