Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal mean first-passage time for a Brownian searcher subjected to
  resetting: experimental and theoretical results   We study experimentally and theoretically the optimal mean time needed by a
free diffusing Brownian particle to reach a target at a distance L from an
initial position in the presence of resetting. Both the initial position and
the resetting position are Gaussian distributed with width $\sigma$. We derived
and tested two resetting protocols, one with a periodic and one with random
(Poissonian) resetting times. We computed and measured the full first-passage
probability distribution that displays spectacular spikes immediately after
each resetting time for close targets. We study the optimal mean first-passage
time as a function of the resetting period/rate for different values of the
ratio b = L/$\sigma$ and find an interesting phase transtion at a critical
value b = bc. For bc < b < $\infty$, there is a metastable optimum time which
disappears for b < bc. The intrinsic diffculties in implementing these
protocols in experiments are also discussed.

22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex