Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derivation of a Non-autonomous Linear Boltzmann Equation from a
  Heterogeneous Rayleigh Gas   A linear Boltzmann equation with nonautonomous collision operator is
rigorously derived in the Boltzmann-Grad limit for the deterministic dynamics
of a Rayleigh gas where a tagged particle is undergoing hard-sphere collisions
with heterogeneously distributed background particles, which do not interact
among each other. The validity of the linear Boltzmann equation holds for
arbitrary long times under moderate assumptions on spatial continuity and
higher moments of the initial distributions of the tagged particle and the
heterogeneous, non-equilibrium distribution of the background. The empiric
particle dynamics are compared to the Boltzmann dynamics using evolution
semigroups for Kolmogorov equations of associated probability measures on
collision histories.

19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat