Инд. авторы:	Belan S., Chernykh A., Lebedev V., Falkovich G.
Заглавие:	Inelastic collapse and near-wall localization of randomly accelerated particles
Библ. ссылка:	Belan S., Chernykh A., Lebedev V., Falkovich G. Inelastic collapse and near-wall localization of randomly accelerated particles // Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. - 2016. - Vol.93. - Iss. 5. - Art.052206. - ISSN 2470-0045. - EISSN 2470-0053 .
Внешние системы:	DOI: 10.1103/PhysRevE.93.052206; PubMed: 27300879; SCOPUS: 2-s2.0-84966341149; WoS: 000375662700005;
Реферат:	eng: Inelastic collapse of stochastic trajectories of a randomly accelerated particle moving in half-space z > 0 has been discovered by McKean [J. Math. Kyoto Univ. 2, 227 (1963)] and then independently rediscovered by Cornell et al. [Phys. Rev. Lett. 81, 1142 (1998)]. The essence of this phenomenon is that the particle arrives at the wall at z = 0 with zero velocity after an infinite number of inelastic collisions if the restitution coefficient beta of particle velocity is smaller than the critical value beta(c) = exp(-pi/root 3). We demonstrate that inelastic collapse takes place also in a wide class of models with spatially inhomogeneous random forcing and, what is more, that the critical value beta(c) is universal. That class includes an important case of inertial particles in wall-bounded random flows. To establish how inelastic collapse influences the particle distribution, we derive the exact equilibrium probability density function.(z, v) for the particle position and velocity. The equilibrium distribution exists only at beta < beta(c) and indicates that inelastic collapse does not necessarily imply near-wall localization.
Ключевые слова:	TURBULENT-FLOW; FORCED PARTICLE;
Издано:	2016
Физ. характеристика:	052206