Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A consistent hierarchy of generalized kinetic equation approximations to
  the chemical master equation applied to surface catalysis   We develop a hierarchy of approximations to the master equation for systems
that exhibit translational invariance and finite-range spatial correlation.
Each approximation within the hierarchy is a set of ordinary differential
equations that considers spatial correlations of varying lattice distance; the
assumption is that the full system will have finite spatial correlations and
thus the behavior of the models within the hierarchy will approach that of the
full system. We provide evidence of this convergence in the context of one- and
two-dimensional numerical examples. Lower levels within the hierarchy that
consider shorter spatial correlations, are shown to be up to three orders of
magnitude faster than traditional kinetic Monte Carlo methods (KMC) for
one-dimensional systems, while predicting similar system dynamics and steady
states as KMC methods. We then test the hierarchy on a two-dimensional model
for the oxidation of CO on RuO2(110), showing that low-order truncations of the
hierarchy efficiently capture the essential system dynamics. By considering
sequences of models in the hierarchy that account for longer spatial
correlations, successive model predictions may be used to establish empirical
approximation of error estimates. The hierarchy may be thought of as a class of
generalized phenomenological kinetic models since each element of the hierarchy
approximates the master equation and the lowest level in the hierarchy is
identical to a simple existing phenomenological kinetic models.

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The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn