Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The existence of Burnett coefficients in the periodic Lorentz gas   The linear super-Burnett coefficient gives corrections to the diffusion
equation in the form of higher derivatives of the density. Like the diffusion
coefficient, it can be expressed in terms of integrals of correlation
functions, but involving four different times. The power law decay of
correlations in real gases (with many moving particles) and the random Lorentz
gas (with one moving particle and fixed scatterers) are expected to cause the
super-Burnett coefficient to diverge in most cases. Here we show that the
expression for the super-Burnett coefficient of the periodic Lorentz gas
converges as a result of exponential decay of correlations and a nontrivial
cancellation of divergent contributions.

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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: hep-ph