Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability analysis of kinked DNA in $\mathcal{F}(K,\tau)$ model   We phenomenologically analyze short DNA rings' stability by discussing the
second variation of its elastic free energy. Through expanding the perturbation
functions as Fourier series, we obtain DNA rings' stability condition in a
general case. By reviewing the relationship between the Kirchhoff model and the
worm-like road chain (WLRC) model, we insert a spontaneous curvature term which
can partly reflect the twist angle's contribution to free energy in the WLRC
model and name this extended model the EWLRC model. By choosing suitable
spontaneous curvature, stability analysis in this model provide us with some
useful results which are consistent with the experimental observations.

35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph