First passage in infinite paraboloidal domains
First passage in infinite paraboloidal domains
We study first-passage properties for a particle that diffuses either inside or outside of generalized paraboloids, defined by where p > 1, with absorbing boundaries. When the particle is inside the paraboloid, the survival probability S(t) generically decays as a stretched exponential, lnS ∼ − t(p − 1)/(p + 1), …