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Anomalous momentum diffusion in the classical kicked rotor

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  • Zheng, Yindong
  • Kobe, Donald H.

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.

Suggested Citation

  • Zheng, Yindong & Kobe, Donald H., 2006. "Anomalous momentum diffusion in the classical kicked rotor," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 395-402.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:2:p:395-402
    DOI: 10.1016/j.chaos.2005.05.053
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    Cited by:

    1. Zheng, Yindong & Kobe, Donald H., 2007. "Momentum diffusion of the quantum kicked rotor: Comparison of Bohmian and standard quantum mechanics," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1105-1113.

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