Autoresonant transition in the presence of noise and self-fields

I. Barth; L. Friedland; E. Sarid; A. G. Shagalov

doi:10.1103/PhysRevLett.103.155001

Autoresonant transition in the presence of noise and self-fields

I. Barth, L. Friedland, E. Sarid, A. G. Shagalov

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7 Scopus citations

Abstract

A sharp threshold for resonant capture of an ensemble of trapped particles driven by chirped frequency oscillations is analyzed. It is shown that at small temperatures T, the capture probability versus driving amplitude is a smoothed step function with the step location and width scaling as α3/4 (α being the chirp rate) and (αT)1/2, respectively. Strong repulsive self-fields reduce the width of the threshold considerably, as the ensemble forms a localized autoresonant macroparticle.

Original language	English
Article number	155001
Journal	Physical Review Letters
Volume	103
Issue number	15
DOIs	https://doi.org/10.1103/PhysRevLett.103.155001
State	Published - 7 Oct 2009
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (all)

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10.1103/PhysRevLett.103.155001

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abstract = "A sharp threshold for resonant capture of an ensemble of trapped particles driven by chirped frequency oscillations is analyzed. It is shown that at small temperatures T, the capture probability versus driving amplitude is a smoothed step function with the step location and width scaling as α3/4 (α being the chirp rate) and (αT)1/2, respectively. Strong repulsive self-fields reduce the width of the threshold considerably, as the ensemble forms a localized autoresonant macroparticle.",

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AU - Friedland, L.

AU - Sarid, E.

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AB - A sharp threshold for resonant capture of an ensemble of trapped particles driven by chirped frequency oscillations is analyzed. It is shown that at small temperatures T, the capture probability versus driving amplitude is a smoothed step function with the step location and width scaling as α3/4 (α being the chirp rate) and (αT)1/2, respectively. Strong repulsive self-fields reduce the width of the threshold considerably, as the ensemble forms a localized autoresonant macroparticle.

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Autoresonant transition in the presence of noise and self-fields

Abstract

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