Equilibrium of a confined, randomly accelerated, inelastic particle: Is there inelastic collapse?
نویسندگان
چکیده
منابع مشابه
Equilibrium of a confined, randomly accelerated, inelastic particle: is there inelastic collapse?
We consider the one-dimensional motion of a particle randomly accelerated by Gaussian white noise on the line segment 0<x<1. The reflections of the particle from the boundaries at x=0 and 1 are inelastic, with velocities just after and before reflection related by v(f) =-r v(i). Cornell et al. have predicted that the particle undergoes inelastic collapse for r< r(c) = e(-pi/sqrt[3]) =0.163, com...
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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)PRLTAO0031-900710.1103/PhysRevLett.81.1142]. The essence of this phenomenon is that the particle arrives at the wall at z=0 with zero vel...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2004
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.70.026105