Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Screening effect due to heavy lower tails in one-dimensional parabolic
  Anderson model   We consider the large-time behavior of the solution $u\colon
[0,\infty)\times\Z\to[0,\infty)$ to the parabolic Anderson problem $\partial_t
u=\kappa\Delta u+\xi u$ with initial data $u(0,\cdot)=1$ and non-positive
finite i.i.d. potentials $(\xi(z))_{z\in\Z}$. Unlike in dimensions $d\ge2$, the
almost-sure decay rate of $u(t,0)$ as $t\to\infty$ is not determined solely by
the upper tails of $\xi(0)$; too heavy lower tails of $\xi(0)$ accelerate the
decay. The interpretation is that sites $x$ with large negative $\xi(x)$ hamper
the mass flow and hence screen off the influence of more favorable regions of
the potential. The phenomenon is unique to $d=1$. The result answers an open
question from our previous study \cite{BK00} of this model in general
dimension.

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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: chem-ph