Delayed Random Walks and Control

Details Delayed Random Walks and Control Delayed Random Walks and Control

2006-05-27

arxiv.org/abs/cond-mat/0605682v1

in Flow Dynamics: The Second International Conference on Flow Dynamics, (M.Tokuyama and S. Maruyama eds.), AIP Conference Proc

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1063/1.2204545

Issues of resonance that appear in non-standard random walk models are discussed. The first walk is called repulsive delayed random walk, which is described in the context of a stick balancing experiment. It will be shown that a type of "resonant" effect takes place to keep the stability of the fixed point better with tuned bias and delay. We also briefly discuss the second model called sticky random walk, which is introduced to model string entanglement. Peculiar resonant effects with respect to these random walks are presented.

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