Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Non-Classical Boltzmann Equation, and Diffusion-Based Approximations
  to the Boltzmann Equation   We show that several diffusion-based approximations (classical diffusion or
SP1, SP2, SP3) to the linear Boltzmann equation can (for an infinite,
homogeneous medium) be represented exactly by a non-classical transport
equation. As a consequence, we indicate a method to solve diffusion-based
approximations to the Boltzmann equation via Monte Carlo, with only statistical
errors - no truncation errors.

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The categories of this paper are: hep-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: econ