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Dynamical continuous time random walk

Author

Listed:
  • Jian Liu
  • Bo Yang
  • Xiaosong Chen
  • Jing-Dong Bao

Abstract

We consider a continuous time random walk model in which each jump is considered to be dynamical process. Dissipative launch velocity and hopping time in each jump is the key factor in this model. Within the model, normal diffusion and anomalous diffusion is realized theoretically and numerically in the force free potential. Besides, external potential can be introduced naturally, so the random walker’s behavior in the linear potential and quartic potential is discussed, especially the walker with Lévy velocity in the quartic potential, bimodal behavior of the spatial distribution is observed, it is shown that due to the inertial effect induced by damping term, there exists transition from unimodality to bimodality for the walker’s spatial stationary distribution. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Jian Liu & Bo Yang & Xiaosong Chen & Jing-Dong Bao, 2015. "Dynamical continuous time random walk," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(4), pages 1-9, April.
  • Handle: RePEc:spr:eurphb:v:88:y:2015:i:4:p:1-9:10.1140/epjb/e2015-60056-y
    DOI: 10.1140/epjb/e2015-60056-y
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    Keywords

    Statistical and Nonlinear Physics;

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