Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surface Fluctuating Hydrodynamics Methods for the Drift-Diffusion
  Dynamics of Particles and Microstructures within Curved Fluid Interfaces   We introduce fluctuating hydrodynamics approaches on surfaces for capturing
the drift-diffusion dynamics of particles and microstructures immersed within
curved fluid interfaces of spherical shape. We take into account the
interfacial hydrodynamic coupling, traction coupling with the surrounding bulk
fluid, and thermal fluctuations. For fluid-structure interactions, we introduce
Immersed Boundary Methods (IBM) and related Stochastic Eulerian-Lagrangian
Methods (SELM) for curved surfaces. We use these approaches to investigate the
statistics of surface fluctuating hydrodynamics and microstructures. For
velocity autocorrelations, we find characteristic power-law scalings
$\tau^{-1}$, $\tau^{-2}$, and plateaus can emerge depending on the physical
regime associated with the geometry, surface viscosity, and bulk viscosity.
This differs from the characteristic $\tau^{-3/2}$ scaling for bulk three
dimensional fluids. We develop a theory explaining these observed power-laws
that can be interpreted using time-scales associated with dissipation within
the fluid interface and coupling to the bulk fluid. We then use our introduced
methods to investigate a few example systems including the kinetics of passive
particles and active microswimmers. We study how the drift-diffusion dynamics
of microstructures compare with and without hydrodynamic coupling within the
curved fluid interface.

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The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
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The categories of this paper are: stat
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph