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cond-mat.stat-mech2024★ 13 cited
Run-and-tumble particle in one-dimensional potentials: mean first-passage time and applications
Mathis Guéneau, Satya N. Majumdar, Gregory Schehr
We study a one-dimensional run-and-tumble particle (RTP), which is a prototypical model for active system, moving within an arbitrary external potential. Using backward Fokker-Plan…
cond-mat.stat-mech2024★ 4 cited
Siegmund duality for physicists: a bridge between spatial and first-passage properties of continuous and discrete time stochastic processes
Mathis Guéneau, Léo Touzo
We consider a generic one-dimensional stochastic process , or a random walk , which describes the position of a particle evolving inside an interval , with absorb…