Dissipation Effects in the Ratchetlike Fermi Acceleration

Cesar Manchein and Marcus W. Beims

Mathematical Problems in Engineering, 2009, vol. 2009, 1-9

Abstract:

Ac-driven asymmetric pulses can be used to control the Fermi acceleration between three different motions, : the accelerated mode, : the decelerated mode, and : the hyperaccelerated mode. In this paper we show that dissipation strongly affects the particles velocity, reducing the possibility for an accurate control of the dynamics. The saturation time, where the mean velocity starts to be constant due to dissipation, decays with a power law , where is the dissipation parameter and is close to 1. The value of the saturated mean velocity also decays with a power law with exponent 0.6 for case , and 0.3 for case . In case this velocity is almost constant for small dissipations.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:513023

DOI: 10.1155/2009/513023

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