Periodic compression of an adiabatic gas: Intermittency-enhanced Fermi acceleration

Carl P. Dettmann; Edson D. Leonel

doi:10.1209/0295-5075/103/40003

Periodic compression of an adiabatic gas: Intermittency-enhanced Fermi acceleration

Carl P. Dettmann^*, Edson D. Leonel

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

1 Citation (Scopus)

Abstract

A gas of noninteracting particles diffuses in a lattice of pulsating scatterers. In the finite horizon case with bounded distance between collisions and strongly chaotic dynamics, the velocity growth (Fermi acceleration) is well described by a master equation, leading to an asymptotic universal non-Maxwellian velocity distribution scaling as v ~ t. The infinite horizon case has intermittent dynamics which enhances the acceleration, leading to v ~ t ln t and a non-universal distribution.

Original language	English
Article number	40003
Number of pages	6
Journal	EPL
Volume	103
Issue number	4
DOIs	https://doi.org/10.1209/0295-5075/103/40003
Publication status	Published - Aug 2013

Keywords

LORENTZ GAS
PARTICLES
DIFFUSION
TRANSPORT
ESCAPE
nlin.CD
math-ph
math.MP

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title = "Periodic compression of an adiabatic gas: Intermittency-enhanced Fermi acceleration",

abstract = "A gas of noninteracting particles diffuses in a lattice of pulsating scatterers. In the finite horizon case with bounded distance between collisions and strongly chaotic dynamics, the velocity growth (Fermi acceleration) is well described by a master equation, leading to an asymptotic universal non-Maxwellian velocity distribution scaling as v ~ t. The infinite horizon case has intermittent dynamics which enhances the acceleration, leading to v ~ t ln t and a non-universal distribution.",

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AU - Dettmann, Carl P.

AU - Leonel, Edson D.

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N2 - A gas of noninteracting particles diffuses in a lattice of pulsating scatterers. In the finite horizon case with bounded distance between collisions and strongly chaotic dynamics, the velocity growth (Fermi acceleration) is well described by a master equation, leading to an asymptotic universal non-Maxwellian velocity distribution scaling as v ~ t. The infinite horizon case has intermittent dynamics which enhances the acceleration, leading to v ~ t ln t and a non-universal distribution.

AB - A gas of noninteracting particles diffuses in a lattice of pulsating scatterers. In the finite horizon case with bounded distance between collisions and strongly chaotic dynamics, the velocity growth (Fermi acceleration) is well described by a master equation, leading to an asymptotic universal non-Maxwellian velocity distribution scaling as v ~ t. The infinite horizon case has intermittent dynamics which enhances the acceleration, leading to v ~ t ln t and a non-universal distribution.

KW - LORENTZ GAS

KW - PARTICLES

KW - DIFFUSION

KW - TRANSPORT

KW - ESCAPE

KW - nlin.CD

KW - math-ph

KW - math.MP

U2 - 10.1209/0295-5075/103/40003

DO - 10.1209/0295-5075/103/40003

M3 - Article (Academic Journal)

VL - 103

JO - EPL

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