2024
DOI: 10.1088/1751-8121/ad4753
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Relating absorbing and hard wall boundary conditions for a one-dimensional run-and-tumble particle

Mathis Guéneau,
Léo Touzo

Abstract: The connection between absorbing boundary conditions and hard walls is well established in the mathematical literature for a variety of stochastic models, including for instance the Brownian motion. In this paper we explore this duality for a different type of process which is of particular interest in physics and biology, namely the run-tumble-particle, a toy model of active particle. For a one-dimensional run-and-tumble particle subjected to an arbitrary external force, we provide a duality relation between … Show more

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