Distribution of the angle of rotation plane random walks

F.W. Wiegel

Research output: Contribution to journalArticleAcademic

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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.
Original languageUndefined
Pages (from-to)211-219
JournalPhysica A
Volume129
Issue number1
DOIs
Publication statusPublished - 1984

Keywords

  • IR-69362

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