Stiff knots: relating topology to geometry and mechanics (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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• We analyze the energy and the geometry of closed knotted strings. We focus on the properties of the ground state (the state of lowest energy). We point out the important role of the the bridge number n. Indeed, the energy of the ground state exhibits upper and lower bounds which both scale as n^2. The geometry of the knot in the ground state is found explicitly in some special cases. Finally, we mention some additional results on the role of torsional elasticity, on the multiplicity of contact points and on the size of the knot.

• 物性研究刊行会の論文
• 2009-04-20

著者

• Pierre-louis Olivier

  The Rudolf Peierls Centre For Theoretical Physics:lsp Universite J. Fourier

関連論文

• Stiff knots: relating topology to geometry and mechanics (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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