Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Scaling of Langevin and Molecular Dynamics Persistence Times of
  Non-Homogeneous Fluids   The solution of the Langevin equation of an anisotropic fluid [Colmenares P.
J; L\'opez F. and Olivares-Rivas W., Phys. Rev E. 2009, 80061123] allowed the
evaluation of the position dependent perpendicular and parallel diffusion
coefficients, using Molecular Dynamics data. However, the time scale of the
Langevin Dynamics and Molecular Dynamics are different and an anzat for the
persistence probability relaxation time was needed. Here we show how the
solution for the average persistence probability obtained from the
Smoluchowski-Fokker-Planck equation (SE), associated to the Langevin Dynamics,
scales with the corresponding Molecular Dynamics quantity. Our SE perpendicular
persistence time is evaluated in terms of simple integrals over the equilibrium
local density. When properly scaled by the perpendicular diffusion coefficient,
it gives a good match with that obtained from Molecular Dynamics.

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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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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: patt-sol
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The categories of this paper are: acc-phys
2
The categories of this paper are: math
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex