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

@article{50342,
   author = {Cremaschini, Claudio and Tessarotto, Massimo},
   article_location = {NL - Nizozemsko},
   article_number = {26-27},
   doi = {http://dx.doi.org/10.1016/j.physleta.2014.04.054},
   keywords = {classical statistical mechanics; hard-sphere system},
   language = {eng},
   issn = {0375-9601},
   journal = {Physics Letters A},
   title = {First-principle proof of the modified collision boundary conditions for the hard-sphere system},
   url = {https://www.sciencedirect.com/science/article/abs/pii/S0375960114004253},
   volume = {378},
   year = {2014}
}

TY  - JOUR
ID  - 50342
AU  - Cremaschini, Claudio - Tessarotto, Massimo
PY  - 2014
TI  - First-principle proof of the modified collision boundary conditions for the hard-sphere system
JF  - Physics Letters A
VL  - 378
IS  - 26-27
SP  - 1760-1766
EP  - 1760-1766
SN  - 03759601
KW  - classical statistical mechanics
KW  - hard-sphere system
UR  - https://www.sciencedirect.com/science/article/abs/pii/S0375960114004253
N2  - 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.
ER  - 

CREMASCHINI, Claudio a Massimo TESSAROTTO. First-principle proof of the modified collision boundary conditions for the hard-sphere system. \textit{Physics Letters A}. NL - Nizozemsko, 2014, roč.~378, 26-27, s.~1760-1766. ISSN~0375-9601. Dostupné z: https://dx.doi.org/10.1016/j.physleta.2014.04.054.