Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Slow dynamics for the dilute Ising model in the phase coexistence region   In this paper we consider the Glauber dynamics for a disordered ferromagnetic
Ising model, in the region of phase coexistence. It was conjectured several
decades ago that the spin autocorrelation decays as a negative power of time
[Huse and Fisher, Phys. Rev. B, 1987]. We confirm this behavior by establishing
a corresponding lower bound in any dimensions $d \geqslant 2$, together with an
upper bound when $d=2$. Our approach is deeply connected to the Wulff
construction for the dilute Ising model. We consider initial phase profiles
with a reduced surface tension on their boundary and prove that, under mild
conditions, those profiles are separated from the (equilibrium) pure plus phase
by an energy barrier.

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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg