Run-and-tumble particle in inhomogeneous media in one dimension

DOI10.1088/1742-5468/aba7b1zbMath1459.60177arXiv2004.11041OpenAlexW3106138724MaRDI QIDQ5856880

Sanjib Sabhapandit, Anupam Kundu, Prashant Singh

Publication date: 30 March 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.11041

zbMATH Keywords

Brownian motionpersistencestationary statesactive matter

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Diffusion processes (60J60) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

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Cites Work

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• On the maximum displacement of a one-dimensional diffusion process described by the telegrapher's equation
• Some applications of persistent random walks and the telegrapher's equation
• Active matter
• Run and tumble particle under resetting: a renewal approach
• Steady state, relaxation and first-passage properties of a run-and-tumble particle in one-dimension
• Exact spectral solution of two interacting run-and-tumble particles on a ring lattice
• Exact stationary state of a run-and-tumble particle with three internal states in a harmonic trap
• Generalised ‘Arcsine’ laws for run-and-tumble particle in one dimension
• A first-order dynamical transition in the displacement distribution of a driven run-and-tumble particle
• The convex hull of the run-and-tumble particle in a plane
• Exact solution of two interacting run-and-tumble random walkers with finite tumble duration
• A Guide to First-Passage Processes
• Non-Gaussian anomalous dynamics in systems of interacting run-and-tumble particles
• Brownian agents and active particles. Collective dynamics in the natural and social sciences. With a foreword by J. Doyne Farmer.