Bara Levit

First Passage in the Presence of Jump Rate Fluctuations: A Transition from Infinite to Finite Mean

A simple symmetric random walk on a one-dimensional lattice is guaranteed to reach any target site, yet its mean first-passage time diverges. Here, we show that stochastic fluctuations in the jump rate can fundamentally alter this classic result. We find a phase transition in the mean first-passage time: sufficiently b...