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Worm-like chain under external forces: Some analytic results

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UNSPECIFIED (2004) Worm-like chain under external forces: Some analytic results. CHINESE JOURNAL OF PHYSICS, 42 (4 Part 1). pp. 410-422. ISSN 0577-9073

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Abstract

Exact results of the classical mechanical solution of the worm-like chain model under an external stretching force are derived. The locus of the chain under an arbitrary stretching force and grafting conditions is calculated explicitly in terms of elliptic functions. In the long chain limit, the chain locus can be expressed in terms of elementary functions. In addition, the solution of a worm-like rod chain under a small twisting torque is also calculated perturbatively. The relative extension, writhe number, and the locus of the chain are computed to leading orders in the reduced torque.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Journal or Publication Title: CHINESE JOURNAL OF PHYSICS
Publisher: PHYSICAL SOC REPUBLIC CHINA
ISSN: 0577-9073
Date: August 2004
Volume: 42
Number: 4 Part 1
Number of Pages: 13
Page Range: pp. 410-422
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/8163

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