Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal mean first-passage time of a Brownian searcher with resetting in
  one and two dimensions: Experiments, theory and numerical tests   We study experimentally, numerically and theoretically the optimal mean time
needed by a Brownian particle, freely diffusing either in one or two
dimensions, to reach, within a tolerance radius $R_{\text tol}$, a target at a
distance $L$ from an initial position in the presence of resetting. The reset
position is 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 target distances (values of
the ratios $b=L/\sigma$) and target size ($a=R_\text{tol}/L$). We find an
interesting phase transition at a critical value of $b$, both in one and two
dimensions. The details of the calculations as well as experimental setup and
limitations are discussed.

10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an