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Irreversible energy gain by linear and nonlinear oscillators

Bauer, D. ; Mulser, P. (2005)
Irreversible energy gain by linear and nonlinear oscillators.
In: Journal of Physics: Conference Series, 11 (1)
doi: 10.1088/1742-6596/11/1/017
Article, Bibliographie

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Abstract

A particle can gain appreciable irreversible energy ("absorption") from linear or nonlinear oscillations only by ballistic excitation ("collision") or, if excited by an adiabatic pulse of constant frequency, by undergoing resonance. For the linear oscillator it is shown that the transition from ballistic to adiabatic behavior out of resonance occurs for sin²-pulses 2–4 eigenperiod long. In the case of a linear oscillator with time-varying eigenfrequency it is shown that Cornu's double spiral represents an attractor, either for zero energy gain out of resonance or finite gain by transiting through resonance. One of the remarkable properties of nonlinear oscillators is that resonance depends on the level of excitation. It is this property which opens a new access to understanding the dominant heating process at high laser intensities, the so-called collisionless absorption phase in solids, extended cluster media, dusty plasmas, and sprays, well guaranteed by experiments and computer simulations but hitherto not well understood in physical terms.

Item Type: Article
Erschienen: 2005
Creators: Bauer, D. ; Mulser, P.
Type of entry: Bibliographie
Title: Irreversible energy gain by linear and nonlinear oscillators
Language: English
Date: 1 January 2005
Place of Publication: Bristol
Publisher: IOP Publishing
Journal or Publication Title: Journal of Physics: Conference Series
Volume of the journal: 11
Issue Number: 1
DOI: 10.1088/1742-6596/11/1/017
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Abstract:

A particle can gain appreciable irreversible energy ("absorption") from linear or nonlinear oscillations only by ballistic excitation ("collision") or, if excited by an adiabatic pulse of constant frequency, by undergoing resonance. For the linear oscillator it is shown that the transition from ballistic to adiabatic behavior out of resonance occurs for sin²-pulses 2–4 eigenperiod long. In the case of a linear oscillator with time-varying eigenfrequency it is shown that Cornu's double spiral represents an attractor, either for zero energy gain out of resonance or finite gain by transiting through resonance. One of the remarkable properties of nonlinear oscillators is that resonance depends on the level of excitation. It is this property which opens a new access to understanding the dominant heating process at high laser intensities, the so-called collisionless absorption phase in solids, extended cluster media, dusty plasmas, and sprays, well guaranteed by experiments and computer simulations but hitherto not well understood in physical terms.

Identification Number: Artikel-ID: 017
Additional Information:

KINETIC THEORY OF NONIDEAL PLASMAS: WORKSHOP IN MEMORY OF YURI KLIMONTOVICH 27–29 September 2004, Kiel, Germany

Classification DDC: 500 Science and mathematics > 530 Physics
Divisions: 05 Department of Physics
05 Department of Physics > Institute of Applied Physics
Date Deposited: 31 Jan 2024 08:57
Last Modified: 05 Feb 2024 07:20
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