Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fluctuating hydrodynamics and the Brownian motion of an active colloid
  near a wall   The traction on the surface of a spherical active colloid in a thermally
fluctuating Stokesian fluid contains passive, active, and Brownian
contributions. Here we derive these three parts systematically, by "projecting
out" the fluid using the boundary-domain integral representation of slow
viscous flow. We find an exact relation between the statistics of the Brownian
traction and the thermal forces in the fluid and derive, thereby,
fluctuation-dissipation relations for every irreducible tensorial harmonic
traction mode. The first two modes give the Brownian force and torque, from
which we construct the Langevin and Smoluchowski equations for the position and
orientation of the colloid. We emphasize the activity-induced breakdown of
detailed balance and provide a prescription for computing the
configuration-dependent variances of the Brownian force and torque. We apply
these general results to an active colloid near a plane wall, the simplest
geometry with configuration-dependent variances, and show that the stationary
distribution is non-Gibbsian. We derive a regularization of the translational
and rotational friction tensors, necessary for Brownian dynamics simulations,
that ensures positive variances at all distances from the wall. The many-body
generalization of these results is indicated.

37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph