Evolution of the reduced probability distribution function of a random walker on a lattice with zigzag boundaries

Authors

Diandrew Lexter Dy ⋅ PH National Institute of Physics, University of the Philippines Diliman
Jose Perico Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We derive a partial differential equation describing the approximate evolution of the reduced probability distribution function (RPDF) of a random walk on a square lattice with zigzag boundaries. We then apply this result for the specific case where boundaries are perfectly absorbing and obtain exact analytical expression for the continuum limit RPDF.

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Issue

2006: Proceedings of the 24th Samahang Pisika ng Pilipinas National Physics Congress

Article ID

SPP-2006-PB-36

Section

Poster Session PB

Published

2006-10-25

How to Cite

[1]

DL Dy and JP Esguerra, Evolution of the reduced probability distribution function of a random walker on a lattice with zigzag boundaries, Proceedings of the Samahang Pisika ng Pilipinas 24, SPP-2006-PB-36 (2006). URL: https://proceedings.spp-online.org/article/view/SPP-2006-PB-36.