Abstract
The stability of short DNA ring is phenomenologically analyzed by discussing the second variation of its elastic free energy. Through expanding the perturbation functions as Fourier series, the DNA ring's stability condition is obtained in a general case. This result is also suitable for other structures which can be taken as one-dimensional (1D) curvature elastomers, such as ribbons and filaments. Stability analysis in a typical model provides some useful results which are consistent with the experimental observations in a wide parameter range.
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