Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling Behaviors of a Polymer Ejected from a Cavity through a Small
  Pore   Langevin dynamics simulations are performed to investigate ejection dynamics
of spherically confined flexible polymers through a pore. By varying the chain
length $N$ and the initial volume fraction $\phi_0$ of the monomers, two
scaling behaviors for the ejection velocity $v$ on the monomer number $m$ in
the cavity are obtained: $v \sim m^{1.25}\phi_0^{1.25}/N^{1.6}$ for large $m$
and $v \sim m^{-1.4}$ as $m$ is small. A robust scaling theory is developed by
dividing the process into the confined and the non-confined stages, and the
dynamical equation is derived via the study of energy dissipation. After
trimming the prior stage related to the escape of the head monomer across the
pore, the evolution of $m$ is shown to be well described by the scaling theory.
The ejection time exhibits two proper scaling behaviors:
$N^{2/(3\nu)+y_1}\phi_0^{-2/(3\nu)}$ and $N^{2+y_2}$ under the large and small
$\phi_0$- or $N$-conditions, respectively, where $y_1=1/3$, $y_2=1-\nu$, and
$\nu$ is the Flory exponent.

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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: plasm-ph
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The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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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: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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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: hep-ex
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The categories of this paper are: nlin