Knot spectrum of confined self-avoiding rings (結び目とソフトマター物理学--高分子のトポロジー、そして物理学、数学および生物学における関連する話題)
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概要
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Advanced stochastic sampling techniques are used to probe the configuration space of self-avoiding flexible rings subject to spatial confinement. The sampled ring conformations are next processed by algorithms that exactly classify knots in rings that are not excessively confined. The physical parameters of the rings, i.e. contour length, bending rigidity and steric hindrance, are properly chosen to mimic the properties of DNA of the P4 bacteriophage, while the radius of the smallest sphere used to confine the model rings is about 2.5 times larger than the P4 capsid radius. By comparing the computed knot spectrum with the P4 one we establish that the consideredmodel correctly predicts an increase of the occurrence of chiral knots with progressive confinement but does not account for the bias of torus versus twist knots observed in P4 experiments.
- 2009-04-20
著者
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MICHELETTI Cristian
SISSA (International School for Advanced Studies)
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Micheletti Cristian
SISSA, CNR-INFM Democritos and Italian Institute of Technology
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Marenduzzo D.
School of Physics, University of Edinburgh
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Orlandini E.
Department of Physics, CNISM and INFN, Universita' di Padova
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Sumners D.
Department of Mathematics, Florida State University
関連論文
- Knot spectrum of confined self-avoiding rings (結び目とソフトマター物理学--高分子のトポロジー、そして物理学、数学および生物学における関連する話題)
- Probing the Entanglement and Locating Knots in Ring Polymers : A Comparative Study of Different Arc Closure Schemes(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins)