Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diffusion with Resetting Inside a Circle   We study the Brownian motion of a particle in a bounded circular
2-dimensional domain, in search for a stationary target on the boundary of the
domain. The process switches between two modes: one where it performs a
two-dimensional diffusion inside the circle and one where it travels along the
one-dimensional boundary. During the diffusion, the Brownian particle resets to
its initial position with a constant rate $r$. The Fokker-Planck formalism
allows us to calculate the mean time to absorption (MTA) as well as the optimal
resetting rate for which the MTA is minimized. From the derived analytical
results the parameter regions where resetting reduces the search time can be
specified. We also provide a numerical method for the verification of our
results.

7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph