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Particle simulations of the nonlinear electron dynamics in the classical Pierce diode

Published online by Cambridge University Press:  20 December 2006

MARTIN KOČAN ,
S. KUHN ,
D. TSKHAKAYA  and
J. D. SKALNÝ
MARTIN KOČAN
Affiliation:
Department of Experimental Physics, Comenius University, SK-84248 Bratislava, Slovakia
S. KUHN
Affiliation:
Department of Theoretical Physics, Innsbruck University, A-6020 Innsbruck, Austria
D. TSKHAKAYA
Affiliation:
Department of Theoretical Physics, Innsbruck University, A-6020 Innsbruck, Austria
J. D. SKALNÝ
Affiliation:
Department of Experimental Physics, Comenius University, SK-84248 Bratislava, Slovakia
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Abstract

The classical Pierce model consists of a one-dimensional plasma-filled diode into which a monoenergetic electron beam is injected. Particle-in-cell (PIC) simulations are performed with the BIT1 code, involving a large number of superparticles. The evolution of slightly perturbed uniform equilibria into the related nonlinear attractor states for a broad range of $\alpha$ values, where $\alpha\,=\,\omega_{{\rm pe}}d/u_0$ is the diode control parameter, is investigated. A period-doubling route to chaos in the classical Pierce diode for $\alpha$ slightly below $5\pi$ is analyzed in detail.

Type
Papers
Information
Journal of Plasma Physics , Volume 72 , Issue 6 , December 2006 , pp. 851 - 855
Copyright
2006 Cambridge University Press

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