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- W2999894222 abstract "We study the motion of a one-dimensional run-and-tumble particle with three discrete internal states in the presence of a harmonic trap of stiffness $mu.$ The three internal states, corresponding to positive, negative and zero velocities respectively, evolve following a jump process with rate $gamma$. We compute the stationary position distribution exactly for arbitrary values of $mu$ and $gamma$ which turns out to have a finite support on the real line. We show that the distribution undergoes a shape-transition as $beta=gamma/mu$ is changed. For $beta 1,$ the position distribution becomes convex, vanishing at the boundaries and with a single, finite, peak at the origin. We also show that for the special case $beta=1,$ the distribution shows a logarithmic divergence near the origin while saturating to a constant value at the boundaries." @default.
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- W2999894222 date "2020-01-01" @default.
- W2999894222 modified "2023-10-16" @default.
- W2999894222 title "Exact stationary state of a run-and-tumble particle with three internal states in a harmonic trap" @default.
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