Thermal Fluctuations of Elastic Filaments with Spontaneous Curvature and Torsion

Details Thermal Fluctuations of Elastic Filaments with Spontaneous Curvature and Torsion Thermal Fluctuations of Elastic Filaments with Spontaneous Curvature and Torsion

2000-05-14

arxiv.org/abs/cond-mat/0005231v1

Physics

Condensed Matter

Soft Condensed Matter

1 figure

Scientific paper

10.1103/PhysRevLett.85.2404

We study the effects of thermal flucutations on thin elastic filaments with spontaneous curvature and torsion. We derive analytical expressions for the orientational correlation functions and for the persistence length of helices, and find that this length varies non-monotonically with the strength of thermal fluctuations. In the weak fluctuation regime, the persistence length of a spontaneously twisted helix has three resonance peaks as a function of the twist rate. In the limit of strong fluctuations, all memory of the helical shape is lost.

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