Skip to main content

Research Repository

Advanced Search

Hyperacceleration in a stochastic Fermi-Ulam model

Karlis, A. K.; Papachristou, P. K.; Diakonos, F. K.; Constantoudis, V.; Schmelcher, P.

Authors

A. K. Karlis

P. K. Papachristou

F. K. Diakonos

V. Constantoudis

P. Schmelcher



Abstract

Fermi acceleration in a Fermi-Ulam model, consisting of an ensemble of particles bouncing between two, infinitely heavy, stochastically oscillating hard walls, is investigated. It is shown that the widely used approximation, neglecting the displacement of the walls (static wall approximation), leads to a systematic underestimation of particle acceleration. An improved approximative map is introduced, which takes into account the effect of the wall displacement, and in addition allows the analytical estimation of the long term behavior of the particle mean velocity as well as the corresponding probability distribution, in complete agreement with the numerical results of the exact dynamics. This effect accounting for the increased particle acceleration-Fermi hyperacceleration-is also present in higher-dimensional systems, such as the driven Lorentz gas. © 2006 The American Physical Society.

Journal Article Type Article
Acceptance Date Sep 4, 2006
Online Publication Date Oct 7, 2006
Publication Date Nov 13, 2006
Deposit Date May 2, 2018
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 97
Issue 19
Pages 194102-194106
DOI https://doi.org/10.1103/PhysRevLett.97.194102
Keywords hyperacceleration, stochastic, fermi-ulam model
Public URL https://uwe-repository.worktribe.com/output/1035457
Publisher URL http://dx.doi.org/10.1103/PhysRevLett.97.194102
Contract Date May 2, 2018