Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smoluchowski-Kramers Limit for a System Subject to a Mean-Field Drift   We establish a scaling limit for autonomous stochastic Newton equations, the
solutions are often called nonlinear stochastic oscillators, where the
nonlinear drift includes a mean field term of McKean type and the driving noise
is Gaussian. Uniform convergence in L^2 sense is achieved by applying L^2-type
estimates and the Gronwall Theorem. The approximation is also called
Smoluchowski-Kramers limit and is a particular averaging technique studied by
Papanicolaou. It reveals an approximation of diffusions with a mean-field
contribution in the drift by stochastic nonlinear oscillators with
differentiable trajectories

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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph