Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coupling a nano-particle with isothermal fluctuating hydrodynamics:
  Coarse-graining from microscopic to mesoscopic dynamics   We derive a coarse-grained description of the dynamics of a nanoparticle
immersed in an isothermal simple fluid by performing a systematic coarse
graining of the underlying microscopic dynamics. As coarse-grained or relevant
variables we select the position of the nanoparticle and the \emph{total} mass
and momentum density field of the fluid, which are locally conserved slow
variables because they are defined to include the contribution of the
nanoparticle. The theory of coarse graining based on the Zwanzing projection
operator leads us to a system of stochastic \emph{ordinary} differential
equations (SODEs) that are closed in the relevant variables. We demonstrate
that our discrete coarse-grained equations are consistent with a
Petrov-Galerkin finite-element discretization of a system of formal stochastic
\emph{partial} differential equations (SPDEs) which resemble previously-used
phenomenological models based on fluctuating hydrodynamics. Under suitable
approximations we obtain \emph{closed} approximations of the coarse-grained
dynamics in a manner which gives them a clear physical interpretation, and
provides \emph{explicit} microscopic expressions for all of the coefficients
appearing in the closure. Our work leads to a model for dilute nanocolloidal
suspensions that can be simulated effectively using feasibly short molecular
dynamics simulations as input to a FEM fluctuating hydrodynamic solver.

30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess