Low energy states of a semiflexible polymer chain with attraction and the whip-toroid transitions

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dc.creatorIshimoto, Yukitaka
dc.creatorKikuchi, Norio
dc.date2005-12-05
dc.date2006-07-25
dc.date.accessioned2026-07-07T07:43:57Z
dc.date.available2026-07-07T07:43:57Z
dc.descriptionBased on our previous paper [cond-mat/0507477], we establish a general model for the whip-toroid transitions of a semiflexible homopolymer chain using the path integral method and the O(3) nonlinear sigma model on a line segment with the local inextensibility constraint. We exactly solve the energy levels of classical solutions, and show that some of its classical configurations exhibit toroidal forms, and the system has phase transitions from a whip to toroidal states with a conformation parameter $c=\frac{W}{2 l} (\frac{L}{2π})^2$. We also discuss the stability of the toroid states and propose the low-energy effective Green function. Finally, with the finite size effect on the toroid states, predicted toroidal properties are successfully compared to experimental results of DNA condensation.
dc.descriptionfinal version: RevTeX4 double column, 15 pages, 6 figures (colour), some typos fixed, to appear in Journal of Chemical Physics
dc.identifierhttps://arxiv.org/abs/cond-mat/0512092
dc.identifierhttp://arxiv.org/abs/cond-mat/0512092
dc.identifierJ. Chem. Phys. 125 (2006) 074905
dc.identifierdoi:10.1063/1.2335455
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123021
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.subjectBiomolecules
dc.titleLow energy states of a semiflexible polymer chain with attraction and the whip-toroid transitions
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