Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spherical-harmonic Expansion of the Modified Diffusion Equation for
  Wormlike Chain in Curvilinear Coordinates   We investigate the wormlike polymer chains using self-consistent field theory
and take into account the Onsager excluded-volume interaction between polymer
segments. The propagator of polymer chain is one of the essential physical
quantities used to study the conformation of polymers, which satisfies the
modified diffusion equation (MDE) for wormlike chain. The propagator of
wormlike chain is not only dependent on the spatial variables, but also on the
orientation. We separate the variables of propagator by using
spherical-harmonic series and then simplify the MDE to a coupled set of
equations only depends on spatial variables in this paper. We expand the MDE by
spherical-harmonic functions in cylindrical coordinates and spherical
coordinates, respectively. We find that there are three ways to set the
orientation, no matter in cylindrical coordinates or spherical coordinates. But
for the convenience of calculation, we compare these three forms and choose the
simplest one to simplify the MDE. And we get a coupled set of equations only
depends on spatial variables.

19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics