Two-dimensional persistent random walk with linearly increasing step size

Authors

  • Macliing Gabriel Aydinan National Institute of Physics, University of the Philippines Diliman
  • Jose Perico Esguerra National Institute of Physics, University of the Philippines Diliman

Abstract

The mean position and mean squared displacement for the two-dimensional persistent random walk with linearly increasing step size are calculated. Exact solutions are obtained for both quantities. For some values of turning angle probability, sample calculations are performed and the quantities are plotted as functions of the total number of steps taken. In all instances studied, the mean position spirals towards a fixed point, showing convergence of mean position, while the mean squared displacement increases indefinitely, with a cubic dependence on the number of steps in the limit of infinite steps.

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Issue

Article ID

SPP2013-PB-8

Section

Poster Session PB

Published

2013-10-23

How to Cite

[1]
MG Aydinan and JP Esguerra, Two-dimensional persistent random walk with linearly increasing step size, Proceedings of the Samahang Pisika ng Pilipinas 31, SPP2013-PB-8 (2013). URL: https://proceedings.spp-online.org/article/view/SPP2013-PB-8.