Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Method to Study Relaxation of Metastable Phases: Macroscopic
  Mean-Field Dynamics   We propose two different macroscopic dynamics to describe the decay of
metastable phases in many-particle systems with local interactions. These
dynamics depend on the macroscopic order parameter $m$ through the restricted
free energy $F(m)$ and are designed to give the correct equilibrium
distribution for $m$. The connection between macroscopic dynamics and the
underlying microscopic dynamic are considered in the context of a projection-
operator formalism. Application to the square-lattice nearest-neighbor Ising
ferromagnet gives good agreement with droplet theory and Monte Carlo
simulations of the underlying microscopic dynamic. This includes quantitative
agreement for the exponential dependence of the lifetime on the inverse of the
applied field $H$, and the observation of distinct field regions in which the
derivative of the lifetime with respect to $1/H$ depends differently on $H$. In
addition, at very low temperatures we observe oscillatory behavior of this
derivative with respect to $H$, due to the discreteness of the lattice and in
agreement with rigorous results. Similarities and differences between this work
and earlier works on finite Ising models in the fixed-magnetization ensemble
are discussed.

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The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
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The categories of this paper are: patt-sol
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex