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@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 and Massimo TESSAROTTO. First-principle proof of the modified collision boundary conditions for the hard-sphere system. \textit{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.
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