Gelfreich, Vassili, Rom-Kedar, Vered, Shah, Kushal and Turaev, Dmitry. (2011) Robust exponential acceleration in time-dependent billiards. Physical Review Letters, Vol.106 (No.7). Article no. 074101 . ISSN 0031-9007

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Abstract

A class of nonrelativistic particle accelerators in which the majority of particles gain energy at an exponential rate is constructed. The class includes ergodic billiards with a piston that moves adiabatically and is removed adiabatically in a periodic fashion. The phenomenon is robust: deformations that keep the chaotic character of the billiard retain the exponential energy growth. The growth rate is found analytically and is, thus, controllable. Numerical simulations corroborate the analytic predictions with good precision. The acceleration mechanism has a natural thermodynamical interpretation and is applied to a hot dilute gas of repelling particles.

Item Type:	Journal Article
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Physical Review Letters
Publisher:	American Physical Society
ISSN:	0031-9007
Date:	2011
Volume:	Vol.106
Number:	No.7
Page Range:	Article no. 074101
Identification Number:	10.1103/PhysRevLett.106.074101
Status:	Peer Reviewed
Publication Status:	Published
Funder:	Minerva Foundation , Israel Science Foundation
Grant number:	273/07 (Israel Science Foundation )
URI:	http://wrap.warwick.ac.uk/id/eprint/41622

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