New techniques to solve the 1-dimensional random flight

Ricardo García-Pelayo

Physica A: Statistical Mechanics and its Applications, 2023, vol. 623, issue C

Abstract: We present here two new techniques to solve the one-dimensional random flight. The first one is an expansion in the number of collisions. The second one is the obtention of a Fourier series. This second technique can be applied to an arbitrary number of dimensions. Some mathematical identities are obtained.

Keywords: Telegrapher’s equation; Persistent random walk; Bessel functions; Random flight (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:623:y:2023:i:c:s0378437123004594

DOI: 10.1016/j.physa.2023.128904

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