Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of stochastic resetting on Brownian motion with stochastic
  diffusion coefficient   We study the dynamics of a Brownian motion with a diffusion coefficient which
evolves stochastically. We first study this process in arbitrary dimensions and
find the scaling form and the corresponding scaling function of the position
distribution. We find that the tails of the distribution have exponential tails
with a ballistic scaling. We then introduce the resetting dynamics where, at a
constant rate, both the position and the diffusion coefficient are reset to
zero. This eventually leads to a nonequilibrium stationary state, which we
study in arbitrary dimensions. In stark contrast to ordinary Brownian motion
under resetting, the stationary position distribution in one dimension has a
logarithmic divergence at the origin. For higher dimensions, however, the
divergence disappears and the distribution attains a dimension-dependent
constant value at the origin, which we compute exactly. The distribution has a
generic stretched exponential tail in all dimensions.
  We also study the approach to the stationary state and find that, as time
increases, an inner core region around the origin attains the stationary state,
while the outside region still has a transient distribution -- this inner
stationary region grows $\sim t^2$, i.e., with a constant acceleration, much
faster than ordinary Brownian motion.

20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex