Shapes of knotted cyclic polymers (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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• Momentary configurations of long polymers at thermal equilibrium usually deviate from spherical symmetry and can be better described, on average, by a prolate ellipsoid. The asphericity and nature of asphericity (or prolateness) that describe these momentary ellipsoidal shapes of a polymer are determined by specific expressions involving the three principal moments of inertia calculated for configurations of the polymer. Earlier theoretical studies and numerical simulations have established that as the length of the polymer increases, the average shape for the statistical ensemble of random configurations asymptotically approaches a characteristic universal shape that depends on the solvent quality. It has been established, however, that these universal shapes differ for linear, circular, and branched chains. We investigate here the effect of knotting on the shape of cyclic polymers modeled as random isosegmental polygons. We observe that random polygons forming different knot types reach asymptotic shapes that are distinct from the ensemble average shape. For the same chain length, more complex knots are, on average, more spherical than less complex knots. This paper is a shorter, revised version of the article Ref. [12]. For more details, see Ref. [12].

• 物性研究刊行会の論文
• 2009-04-20

著者

• Kern John

  Duquesne University

• Rawdon Eric

  University of St. Thomas

• Piatek Michael

  University of Washington

• Plunkett Patrick

  University of California

• Stasiak Andrzej

  University of Lausanne

• Millett Kennth

  University of California

関連論文

• Shapes of knotted cyclic polymers (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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