Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collective Current Rectification   We consider a network of coupled underdamped ac-driven dynamical units
exposed to a heat bath. The topology of connections defines the
absence/presence of certain spatial symmetries, which in turn cause
nonzero/zero value of a mean dc-output. We discuss dynamical mechanisms of the
rectification and identify dc-current reversals with
synchronization/desynchronization transitions in the network dynamics.

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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th