Diffusion with stochastic resetting: heterogeneity, drift, and time-dependent diffusion
Abstract
Abstract We investigate diffusion in a heterogeneous medium with stochastic resetting, external drift, and time-dependent diffusivity. In the drift-free case, we derive the propagator, mean square displacement, survival probability, and the first-passage-time distribution. Adding drift, we show how it competes with heterogeneity and resetting: heterogeneity may impede or promote transport, resetting sharpens first-passage-time statistics, and drift favors stabilization. Stationary versus nonstationary behavior is controlled by the long-time properties of the time-dependent coefficients, yielding a wide range of anomalous-diffusion regimes.
Fields of Study & Subjects
Diffusion and Search Dynamics
stochastic dynamics and bifurcation
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Journal of Statistical Mechanics Theory and Experiment
- Publisher
- IOP Publishing
- Volume
- 2026
- Issue
- 2
- Pages
- 023211–023211
- Publication date
- 1 February 2026