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Condensed Matter > Soft Condensed Matter

arXiv:cond-mat/0512092 (cond-mat)
[Submitted on 5 Dec 2005 (v1), last revised 25 Jul 2006 (this version, v2)]

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

Authors:Yukitaka Ishimoto (RIKEN), Norio Kikuchi (U. Mainz)
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Abstract: Based 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 $c=\frac{W}{2 l} (\frac{L}{2\pi})^2$. 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.
Comments: final version: RevTeX4 double column, 15 pages, 6 figures (colour), some typos fixed, to appear in Journal of Chemical Physics
Subjects: Soft Condensed Matter (cond-mat.soft); Statistical Mechanics (cond-mat.stat-mech); Biomolecules (q-bio.BM)
Report number: RIKEN-TH-58
Cite as: arXiv:cond-mat/0512092 [cond-mat.soft]
  (or arXiv:cond-mat/0512092v2 [cond-mat.soft] for this version)
  https://doi.org/10.48550/arXiv.cond-mat/0512092
Journal reference: J. Chem. Phys. 125 (2006) 074905
Related DOI: https://doi.org/10.1063/1.2335455

Submission history

From: Yukitaka Ishimoto [view email]
[v1] Mon, 5 Dec 2005 20:43:17 UTC (866 KB)
[v2] Tue, 25 Jul 2006 14:08:45 UTC (867 KB)
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