Title: First passage dynamics of fractional Brownian motion with stochastic resetting: a computational study
Author: Sungmin Joo(POSTECH), Durang Xavier (KIAS), Sungmin Lee (SKKU), Jae-Hyung Jeon(POSTECH)
We investigate the target search dynamics with stochastic resetting where the search particle performs a strongly correlated diffusion modeled by fractional Brownian motion (FBM) in a finite domain. Our simulation shows that the stochastic resetting in general enhances the target search if the distance between the target and reset site is less than a critical value which turns out to depend on the Hurst exponent and the domain size. In this circumstance, there exists an optimal resetting rate r* that minimizes the mean first passage time. Beyond this distance, the resetting is no longer effective to find a target. We report our first systematic investigation on how the stochastic resetting and the directional correlation play roles in finding a target in a finite domain in terms of the mean first passage time and its distribution.