Survival of a diffusing particle in an expanding cage

Abstract

We consider a Brownian particle, with diffusion constant D, moving inside an expanding d-dimensional sphere whose surface is an absorbing boundary for the particle. The sphere has initial radius L_0 and expands at a constant rate c. We calculate the joint probability density, p(r,t|r_0), that the particle survives until time t, and is at a distance r from the centre of the sphere, given that it started at a distance r_0 from the centre.

5 pages

References in corpus (3)

• Persistence in Nonequilibrium Systems
• Life and Death in a Cage and at the Edge of a Cliff
• Survival probability of a diffusing particle constrained by two moving, absorbing boundaries

Cited by in corpus (6)

• Persistence and First-Passage Properties in Non-equilibrium Systems
• Non-crossing Brownian paths and Dyson Brownian motion under a moving boundary
• Brownian motion in time-dependent logarithmic potential: Exact results for dynamics and first-passage properties
• Running Measurement Protocol for the Quantum First-detection problem
• Diffusion of particles in an expanding sphere with an absorbing boundary
• Stochastic and Quantum Dynamics of Repulsive Particles: from Random Matrix Theory to Trapped Fermions