Statistical Mechanics of Non-stretching Elastica in Three Dimensional Space

Details Statistical Mechanics of Non-stretching Elastica in Three Dimensional Space Statistical Mechanics of Non-stretching Elastica in Three Dimensional Space

1998-01-04

arxiv.org/abs/solv-int/9801005v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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Scientific paper

10.1016/S0393-0440(98)00042-4

Recently I proposed a new calculation scheme of a partition function of an immersion object using path integral method and theory of soliton (to appear in J.Phys.A). I applied the scheme to problem of elastica in two-dimensional space and Willmore surface in three dimensional space. In this article, I will apply the scheme to elastica in three dimensional space as a more physical model in polymer science. Then orbit space of the nonlinear Schrodinger and complex modified Korteweg-de Vries equations can be regarded as the functional space of the partition function. By investigation of the partition function, I gives a conjecture of the relation of these soliton equations.

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