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Analytic theory of DNA condensation

Yukitaka Ishimoto·Norio Kikuchi
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Abstract

We introduce a novel model for DNA condensation (whip-toroid transition) using the path integral method in the framework of the non-linear sigma model on a line segment. We show that some of its classical configurations exhibit toroidal forms, and the system has phase transitions from a whip to toroidal phases with a parameter $c=W/(2l) (L/(2π))^2$. We also discuss stability and finite size effect on these states.

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Yukitaka Ishimoto, Norio Kikuchi. 2007-01-30. Analytic theory of DNA condensation. https://arxiv.org/abs/cond-mat/0507477

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