Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Fluctuating Lattice Boltzmann Method for the Diffusion Equation   We derive a fluctuating lattice Boltzmann method for the diffusion equation.
The derivation removes several shortcomings of previous derivations for
fluctuating lattice Boltzmann methods for hydrodynamic systems. The comparative
simplicity of this diffusive system highlights the basic features of this first
exact derivation of a fluctuating lattice Boltzmann method.

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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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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: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: math
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The categories of this paper are: math-ph