Distribution of the angle of rotation plane random walks |
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| Authors: | FW Wiegel |
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| Institution: | Center for Theoretical Studies, Indian Institute of Science, Bangalore 560012, India;Center of Theoretical Physics, Twente University of Technology, P.O. Box 217, Enschede 7500 AE, The Netherlands |
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| Abstract: | We study the probability distribution of the angle by which the tangent to the trajectory rotates in the course of a plane random walk. It is shown that the determination of this distribution function can be reduced to an integral equation, which can be rigorously transformed into a differential equation of Hill's type. We derive the asymptotic distribution for very long walks. |
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