Pulling strings at finite temperature: Another force-extension formula for the Worm-Like Chain Model

dc.creatorFlyvbjerg, Henrik
dc.date2001-03-20
dc.date.accessioned2026-07-07T02:40:47Z
dc.date.available2026-07-07T02:40:47Z
dc.descriptionThe derivation of Marko and Siggia's interpolation formula for the force-extension relation of the Worm-Like Chain Model (C.Bustamante, J.F.Marko, E.D.Siggia, and S.Smith, Science Vol.265, p.1599 (1994); J.F.Marko and E.D.Siggia, Macromolecules Vol.28, p.8759 (1995)) is retraced. Isotropy of space, resulting in rotational invariance of the free energy, is invoked together with analyticity. A new interpolation formula results for the force-extension relationship. It is as simple as the old one, but twice as close to the exact force-extension relationship. Application of the same reasoning to the second-order perturbative result obtained at strong force (J.D.Moroz and P.Nelson, Proc.Natl.Acad.Sci. USA Vol.94, p.14418 (1997)) results in yet a new interpolation formula, good to 1% at all forces.
dc.description4 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0103417
dc.identifierhttp://arxiv.org/abs/cond-mat/0103417
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17504
dc.subjectStatistical Mechanics
dc.titlePulling strings at finite temperature: Another force-extension formula for the Worm-Like Chain Model
dc.typetext

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