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Shah, Kushal, Gelfreich, Vassili, Rom-Kedar, Vered and Turaev, Dmitry (2015) Leaky Fermi accelerators. Physical Review E, 91 (6). 062920. doi:10.1103/PhysRevE.91.062920 ISSN 1539-3755.
An open access version can be found in:
Official URL: http://dx.doi.org/10.1103/PhysRevE.91.062920
Abstract
A Fermi accelerator is a billiard with oscillating walls. A leaky accelerator interacts with an environment of an ideal gas at equilibrium by exchange of particles through a small hole on its boundary. Such interaction may heat the gas: we estimate the net energy flow through the hole under the assumption that the particles inside the billiard do not collide with each other and remain in the accelerator for a sufficiently long time. The heat production is found to depend strongly on the type of Fermi accelerator. An ergodic accelerator, i.e., one that has a single ergodic component, produces a weaker energy flow than a multicomponent accelerator. Specifically, in the ergodic case the energy gain is independent of the hole size, whereas in the multicomponent case the energy flow may be significantly increased by shrinking the hole size.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Physical Review E | ||||
Publisher: | American Physical Society | ||||
ISSN: | 1539-3755 | ||||
Official Date: | 15 June 2015 | ||||
Dates: |
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Volume: | 91 | ||||
Number: | 6 | ||||
Article Number: | 062920 | ||||
DOI: | 10.1103/PhysRevE.91.062920 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Open Access Version: |
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