TY - JOUR
T1 - Intermittent random walks under stochastic resetting
AU - Flaquer-Galmés, Rosa
AU - Campos, Daniel
AU - Méndez, Vicenç
N1 - Publisher Copyright:
© 2024 American Physical Society.
PY - 2024/3/4
Y1 - 2024/3/4
N2 - We analyze a one-dimensional intermittent random walk on an unbounded domain in the presence of stochastic resetting. In this process, the walker alternates between local intensive search, diffusion, and rapid ballistic relocations in which it does not react to the target. We demonstrate that Poissonian resetting leads to the existence of a non-equilibrium steady state. We calculate the distribution of the first arrival time to a target along with its mean and show the existence of an optimal reset rate. In particular, we prove that the initial condition of the walker, i.e., either starting diffusely or relocating, can significantly affect the long-time properties of the search process. Moreover, we demonstrate the presence of distinct parameter regimes for the global optimization of the mean first arrival time when ballistic and diffusive movements are in direct competition.
AB - We analyze a one-dimensional intermittent random walk on an unbounded domain in the presence of stochastic resetting. In this process, the walker alternates between local intensive search, diffusion, and rapid ballistic relocations in which it does not react to the target. We demonstrate that Poissonian resetting leads to the existence of a non-equilibrium steady state. We calculate the distribution of the first arrival time to a target along with its mean and show the existence of an optimal reset rate. In particular, we prove that the initial condition of the walker, i.e., either starting diffusely or relocating, can significantly affect the long-time properties of the search process. Moreover, we demonstrate the presence of distinct parameter regimes for the global optimization of the mean first arrival time when ballistic and diffusive movements are in direct competition.
UR - http://www.scopus.com/inward/record.url?scp=85186728667&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/cb69212e-25db-3d25-af35-909fbc2a0051/
U2 - 10.1103/PhysRevE.109.034103
DO - 10.1103/PhysRevE.109.034103
M3 - Article
C2 - 38632743
AN - SCOPUS:85186728667
SN - 2470-0045
VL - 109
JO - Physical Review E
JF - Physical Review E
IS - 3
M1 - 034103
ER -