Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Detailed Balance Condition and Effective Free Energy in the Primitive
  Chain Network Model   We consider statistical mechanical properties of the primitive chain network
(PCN) model for entangled polymers from its dynamic equations. We show that the
dynamic equation for the segment number of the PCN model does not reduce to the
standard Langevin equation which satisfies the detailed balance condition. We
propose heuristic modifications for the PCN dynamic equation for the segment
number, to make it reduce to the standard Langevin equation. We analyse some
equilibrium statistical properties of the modified PCN model, by using the
effective free energy obtained from the modified PCN dynamic equations. The PCN
effective free energy can be interpreted as the sum of the ideal Gaussian chain
free energy and the repulsive interaction energy between slip-links. By using
the single chain approximation, we calculate several distribution functions of
the PCN model. The obtained distribution functions are qualitatively different
from ones for the simple slip-link model without any direct interactions
between slip-links.

27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom