Gauge Theory of Topological Entanglements. I : General Theory

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概要

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• A statistical mechanics of mutually entangled long flexible molecules in the presence of topological constraints is developed. The problem is a typical example of"disordered systems"in the sense that the distribution of topology is considered to be frozen and is shown, by a mathematical isomorphism, to be equivalent to that of a zero-component superconductor under fluctuating electromagnetic fields. Our theory is a straightforward extension of the de Gennes' theorem on self-avoiding random walks to the case with topological restriction on the paths. Examples are solved for a long polymer entangling with another polymer of various fixed conformations.

• 理論物理学刊行会の論文
• 1982-07-25

著者

• Tanaka Fumihiko

  Laboratory of Agricultural Process Engineering, Faculty of Agriculture, Kyushu University

• Tanaka Fumihiko

  Laboratory Of Physics Faculty Of General Education Tokyo University Of Agriculture And Technology

• Tanaka Fumihiko

  Laboratory Of Agricultural Process Engineering Faculty Of Agriculture Kyushu University

• TANAKA Fumihiko

  Laboratory of Physics, Faculty of General Education Tokyo University of Agriculture and Technology

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