Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Memory Effects in Active Particles with Exponentially Correlated
  Propulsion   The Ornstein--Uhlenbeck Particle (OUP) model imagines a microscopic swimmer
propelled by an active force which is correlated with itself on a finite
time-scale. Here we investigate the influence of external potentials on an
ideal suspension of OUPs, in both one and two spatial dimensions, with
particular attention paid to the pressure exerted on "confining walls". We
employ a mathematical connection between the local density of OUPs and the
statistics of their propulsion force to demonstrate the existence of an
equation of state in one dimension. In higher dimensions we show that active
particles generate a non-conservative force field in the surrounding medium. A
simplified far-from-equilibrium model is proposed to account for OUP behaviour
in the vicinity of potentials. Building on this, we interpret simulations of
OUPs in more complicated situations involving asymmetrical and spatially curved
potentials, characterising the inhomogeneous local stresses which result in
terms of competing active length-scales.

5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics