Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Osmotic Pressure of Solutions Containing Flexible Polymers Subject to an
  Annealed Molecular Weight Distribution   The osmotic pressure $P$ in equilibrium polymers (EP) in good solvent is
investigated by means of a three dimensional off-lattice Monte Carlo
simulation. Our results compare well with real space renormalisation group
theory and the osmotic compressibility $K \propto \phi \upd \phi/\upd P$ from
recent light scattering study of systems of long worm-like micelles. We confirm
the scaling predictions for EP based on traditional physics of quenched
monodisperse polymers in the dilute and semidilute limit. Specifically, we find
$P\propto \phi^{2.3}$ and, hence, $K \propto \phi^{-0.3}$ in the semidilute
regime --- in agreement with both theory and experiment. At higher
concentrations where the semidilute blobs become too small and hard-core
interactions and packing effects become dominant, a much stronger increase %
$\log(P/\phi)\approx \log(\Nav^2/\phi) \propto \phi$ is evidenced and,
consequently, the compressibility decreases much more rapidly with $\phi$ than
predicted from semidilute polymer theory, but again in agreement with
experiment.

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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: nlin
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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: stat
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph