Robust exponential acceleration in time-dependent billiards
Gelfreich, Vassili, Rom-Kedar, Vered, Shah, Kushal and Turaev, Dmitry. (2011) Robust exponential acceleration in time-dependent billiards. Physical Review Letters, Volume 106 (Number 7). Article no. 074101 . ISSN 0031-9007Full text not available from this repository.
Official URL: http://dx.doi.org/10.1103/PhysRevLett.106.074101
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|
|Subjects:||Q Science > QA Mathematics
Q Science > QC Physics
|Divisions:||Faculty of Science > Mathematics|
|Library of Congress Subject Headings (LCSH):||Particle accelerators, Ergodic theory|
|Journal or Publication Title:||Physical Review Letters|
|Publisher:||American Physical Society|
|Page Range:||Article no. 074101|
|Funder:||Minerva Foundation, Israel Science Foundation (ISF)|
|Grant number:||273/07 (ISF)|
 Ya. Sinai, Russ. Math. Surv. 25, 137 (1970); L.
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