Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Domain Growth in the Active Model B: Critical and Off-critical
  Composition   We study the ordering kinetics of an assembly of {\it active Brownian
particles} (ABPs) on a two-dimensional substrate. We use a coarse-grained
equation for the composition order parameter $\psi ({\bf r},t)$, where ${\bf
r}$ and $t$ denote space and time, respectively. The model is similar to the
{\it Cahn-Hilliard equation} or {\it Model B} (MB) for a conserved order
parameter with an additional activity term of strength $\lambda$. This model
has been introduced by Wittkowski et al., Nature Comm. {\bf 5}, 4351 (2014),
and is termed {\it Active Model B} (AMB). We study domain growth kinetics and
dynamical scaling of the correlation function for the AMB with critical and
off-critical compositions. The quantity $P = \mbox{sign}(\lambda \times
\psi_0)$ governs the asymptotic growth kinetics for the off-critical AMB, where
$\psi_0$ denotes the average order parameter. For negative $P$, the domain
growth law is the usual Lifshitz-Slyozov growth law with $L(t,\lambda) \sim
t^{1/3}$. For positive $P$, the growth law shows a crossover to a novel growth
law $L(t,\lambda) \sim t^{1/4}$. Further, the correlation function shows good
dynamical scaling for the off-critical AMB but the scaling function has a
dependency on $\psi_0$ and $\lambda$. We also study the effects of both
additive and multiplicative noise on the AMB.

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The categories of this paper are: cs
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
16
The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: physics
24
The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: comp-gas