Statistical mechanics of non-stretching elastica in three-dimensional space

DOI10.1016/S0393-0440(98)00042-4zbMath0983.53002arXivsolv-int/9801005OpenAlexW3106488748MaRDI QIDQ1299197

Shigeki Matsutani

Publication date: 23 April 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9801005

zbMATH Keywords

partition functionnonlinear Schrödinger equationmodified Korteweg-de Vries equationhierarchyelastica

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Statistical mechanics of polymers (82D60) Classical equilibrium statistical mechanics (general) (82B05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Curves in Euclidean and related spaces (53A04)

Related Items (5)

DIRAC OPERATOR ON A CONFORMAL SURFACE IMMERSED IN ℝ⁴: A WAY TO FURTHER GENERALIZED WEIERSTRASS EQUATION ⋮ On the Moduli of a Quantized Elastica in ℙ and KdV Flows: Study of Hyperelliptic Curves as an Extension of Euler's Perspective of Elastica I ⋮ Hyperelliptic loop solitons with genus \(g\): investigations of a quantized elastica ⋮ Closed loop solitons and sigma functions: Classical and quantized elasticas with genera one and two ⋮ An algebro-geometric model for the shape of supercoiled DNA

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