Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of bending rigidity on the knotting of a polymer under tension   A coarse-grained computational model is used to investigate how the bending
rigidity of a polymer under tension affects the formation of a trefoil knot.
Thermodynamic integration techniques are applied to demonstrate that the
free-energy cost of forming a knot has a minimum at non-zero bending rigidity.
The position of the minimum exhibits a power-law dependence on the applied
tension. For knotted polymers with non-uniform bending rigidity, the knots
preferentially localize in the region with a bending rigidity that minimizes
the free-energy.

1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an