Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Metastability in a lattice gas with strong anisotropic interactions
  under Kawasaki dynamics   In this paper we analyze metastability and nucleation in the context of a
local version of the Kawasaki dynamics for the two-dimensional strongly
anisotropic Ising lattice gas at very low temperature. Let
$\Lambda\subset\mathbb{Z}^2$ be a finite box. Particles perform simple
exclusion on $\Lambda$, but when they occupy neighboring sites they feel a
binding energy $-U_1<0$ in the horizontal direction and $-U_2<0$ in the
vertical one. Thus the Kawasaki dynamics is conservative inside the volume
$\Lambda$. Along each bond touching the boundary of $\Lambda$ from the outside
to the inside, particles are created with rate $\rho=e^{-\Delta\beta}$, while
along each bond from the inside to the outside, particles are annihilated with
rate $1$, where $\beta$ is the inverse temperature and $\Delta>0$ is an
activity parameter. Thus, the boundary of $\Lambda$ plays the role of an
infinite gas reservoir with density $\rho$. We consider the parameter regime
$U_1>2U_2$ also known as the strongly anisotropic regime. We take
$\Delta\in{(U_1,U_1+U_2)}$ and we prove that the empty (respectively full)
configuration is a metastable (respectively stable) configuration. We consider
the asymptotic regime corresponding to finite volume in the limit of large
inverse temperature $\beta$. We investigate how the transition from empty to
full takes place. In particular, we estimate in probability, expectation and
distribution the asymptotic transition time from the metastable configuration
to the stable configuration. Moreover, we identify the size of the
\emph{critical droplets}, as well as some of their properties. We observe very
different behavior in the weakly and strongly anisotropic regimes. We find that
the \emph{Wulff shape}, i.e., the shape minimizing the energy of a droplet at
fixed volume, is not relevant for the nucleation pattern.

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The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: stat
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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: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex