TY  - JOUR
A1  - Singh, Rishu Kumar
A1  - Górska, Katarzyna
A1  - Sandev, Trifce
T1  - General approach to stochastic resetting
T2  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - We address the effect of stochastic resetting on diffusion and subdiffusion process. For diffusion we find that mean square displacement relaxes to a constant only when the distribution of reset times possess finite mean and variance. In this case, the leading order contribution to the probability density function (PDF) of a Gaussian propagator under resetting exhibits a cusp independent of the specific details of the reset time distribution. For subdiffusion we derive the PDF in Laplace space for arbitrary resetting protocol. Resetting at constant rate allows evaluation of the PDF in terms of H function. We analyze the steady state and derive the rate function governing the relaxation behavior. For a subdiffusive process the steady state could exist even if the distribution of reset times possesses only finite mean.
Y1  - 2022
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/63743
SN  - 2470-0045
SN  - 2470-0053
VL  - 105
IS  - 6
PB  - American Physical Society
CY  - College Park
ER  -