Statistical Mechanics of Non-stretching Elastica in Three Dimensional Space

نویسنده

  • Shigeki MATSUTANI
چکیده

Recently I proposed a new calculation scheme of a partition function of an immersion object using path integral method and theory of soliton (J.Phys.A (1998) 31 Mar). 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 Schrödinger and complex modified Korteweg-de Vries equations can be regarded as the functional space of the partition function. §

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تاریخ انتشار 1998