Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of interacting Brownian particles: a diagrammatic formulation   We present a diagrammatic formulation of a theory for the time dependence of
density fluctuations in equilibrium systems of interacting Brownian particles.
To facilitate derivation of the diagrammatic expansion we introduce a basis
that consists of orthogonalized many-particle density fluctuations. We obtain
an exact hierarchy of equations of motion for time-dependent correlations of
orthogonalized density fluctuations. To simplify this hierarchy we neglect
contributions to the vertices from higher-order cluster expansion terms. An
iterative solution of the resulting equations can be represented by diagrams
with three and four-leg vertices. We analyze the structure of the diagrammatic
series for the time-dependent density correlation function and obtain a
diagrammatic interpretation of reducible and irreducible memory functions. The
one-loop self-consistent approximation for the latter function coincides with
mode-coupling approximation for Brownian systems that was derived previously
using a projection operator approach.

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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas