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J. Chem. Phys. 128, 134906 (2008); http://dx.doi.org/10.1063/1.2899654 (5 pages)

Effect of interaction shape on the condensed toroid of the semiflexible chain

Y. Ishimoto1 and N. Kikuchi2,3

1Okayama Institute for Quantum Physics, 1-9-1 Kyouyama, Okayama 700-0015, Japan
2Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, D-55099 Mainz, Germany
3Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany

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(Received 30 August 2007; accepted 27 February 2008; published online 4 April 2008)

We investigate how different microscopic interactions between semiflexible chain segments can qualitatively alter the physical properties of the condensed toroid. We propose a general form of the Hamiltonian of the toroid and discuss its analytic properties. For different interactions, the theory predicts different scaling behaviors of the mean toroidal and cross sectional radii, rc and rcross, as functions of the contour length L: (rc,rcross) ∼ Lν(Nc), with ν = (⅕,⅖) for the van der Waals-type, ν = (−⅓,⅔) for the Coulomb-type, and ν = (−1,1) for the delta-function-type attractions in the asymptotic limit. For the toroids with finite winding number Nc = 100–400, we find ν ≃ 0 for the Yukawa interaction with screening parameter κ = 0.5–1.0 and ν = 0.1–0.13 for the van der Waals-type interactions. These findings could provide a possible explanation for the experimentally well known observation ν ≃ 0 of the condensed DNA toroids. Conformational transitions are also discussed.

© 2008 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. THE MODEL
    1. The delta function potential
    2. van der Waals potential and the finite size effect
    3. Yukawa potential and general analysis
  3. CONCLUSIONS

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0021-9606 (print)  
1089-7690 (online)

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    M. R. Stukan, V. A. Ivanov, A. Y. Grosberg, W. Paul, and K. Binder, J. Chem. Phys. 118, 3392 (2003)JCPSA6000118000007003392000001.

    Y. Ishimoto and N. Kikuchi, J. Chem. Phys. 125, 074905 (2006)JCPSA6000125000007074905000001.

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