Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Insights from Single-File Diffusion into Cooperativity in Higher
  Dimensions   Diffusion in colloidal suspensions can be very slow due to the cage effect,
which confines each particle within a short radius on one hand, and involves
large-scale cooperative motions on the other. In search of insight into this
cooperativity, here the authors develop a formalism to calculate the
displacement correlation in colloidal systems, mainly in the two-dimensional
case. To clarify the idea for it, studies are reviewed on cooperativity among
the particles in the one-dimensional case, i.e. the single-file diffusion
(SFD). As an improvement over the celebrated formula by Alexander and Pincus on
the mean-square displacement (MSD) in SFD, it is shown that the displacement
correlation in SFD can be calculated from Lagrangian correlation of the
particle interval in the one-dimensional case, and also that the formula can be
extended to higher dimensions. The improved formula becomes exact for large
systems. By combining the formula with a nonlinear theory for correlation, a
correction to the asymptotic law for the MSD in SFD is obtained. In the
two-dimensional case, the linear theory gives description of vortical
cooperative motion.

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The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con