TY  - JOUR
A1  - Singh, Rishu Kumar
A1  - Metzler, Ralf
A1  - Sandev, Trifce
T1  - Resetting dynamics in a confining potential
T2  - Journal of physics : A, Mathematical and theoretical
N2  - We study Brownian motion in a confining potential under a constant-rate resetting to a reset position x(0). The relaxation of this system to the steady-state exhibits a dynamic phase transition, and is achieved in a light cone region which grows linearly with time. When an absorbing boundary is introduced, effecting a symmetry breaking of the system, we find that resetting aids the barrier escape only when the particle starts on the same side as the barrier with respect to the origin. We find that the optimal resetting rate exhibits a continuous phase transition with critical exponent of unity. Exact expressions are derived for the mean escape time, the second moment, and the coefficient of variation (CV).
KW  - diffusion
KW  - resetting
KW  - barrier escape
KW  - first-passage
Y1  - 2020
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/57053
SN  - 1751-8113
SN  - 1751-8121
VL  - 53
IS  - 50
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -