Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Advective-diffusive motion on large scales from small-scale dynamics
  with an internal symmetry   We consider coupled diffusions in $n$-dimensional space and on a compact
manifold and the resulting effective advective-diffusive motion on large scales
in space. The effective drift (advection) and effective diffusion are
determined as a solvability conditions in a multi-scale analysis. As an example
we consider coupled diffusions in $3$-dimensional space and on the group
manifold $SO(3)$ of proper rotations, generalizing results obtained by H.
Brenner (1981). We show in detail how the analysis can be conveniently be
carried out using local charts and invariance arguments. As a further example
we consider coupled diffusions in $2$-dimensional complex space and on the
group manifold $SU(2)$. We show that although the local operators may be the
same as for $SO(3)$, due to the global nature of the solvability conditions the
resulting diffusion will be different, and generally more isotropic.

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The categories of this paper are: math-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci