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New techniques to solve the 1-dimensional random flight

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  • García-Pelayo, Ricardo

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.

Suggested Citation

  • García-Pelayo, Ricardo, 2023. "New techniques to solve the 1-dimensional random flight," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    • Handle: RePEc:eee:phsmap:v:623:y:2023:i:c:s0378437123004594
    DOI: 10.1016/j.physa.2023.128904
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    References listed on IDEAS

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    1. Weiss, George H, 2002. "Some applications of persistent random walks and the telegrapher's equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 311(3), pages 381-410.
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