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cond-mat.stat-mech2024★ 1 cited
Crystal to liquid cross-over for active particles with inverse-square power-law interaction
Saikat Santra, Leo Touzo, Chandan Dasgupta +6
We consider a one-dimensional system comprising of run-and-tumble particles confined in a harmonic trap interacting via a repulsive inverse-square power-law interaction. We num…
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…