Anomalous momentum diffusion in the classical kicked rotor

Yindong Zheng and Donald H. Kobe

Chaos, Solitons & Fractals, 2006, vol. 28, issue 2, 395-402

Abstract: Numerical simulation for the classical kicked rotor is used to obtain the momentum diffusion over a region of the control parameters K from 0 to 100 that covers 15 fundamental accelerator modes. The numerical data for momentum diffusion is well fit by a power law DNβ in the number of kicks N. In the anomalous momentum diffusion regions due to accelerator modes the exponent β(K) is slightly less than quadratic except for a slight dip, in agreement with the upper bound (K2/2)N2. The corresponding coefficient D(K) in these regions has three distinct sections, most likely due to accelerator modes with period greater than one.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:2:p:395-402

DOI: 10.1016/j.chaos.2005.05.053

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