Molecular elasticity and the geometric phase

Details Molecular elasticity and the geometric phase Molecular elasticity and the geometric phase

2002-03-24

arxiv.org/abs/cond-mat/0203491v4

Physical Review Letters Vol. 90,098305, (2003)

Physics

Condensed Matter

five pages, one figure, revtex, revised in the light of referee's comments, to appear in PRL

Scientific paper

10.1103/PhysRevLett.90.098305

We present a method for solving the Worm Like Chain (WLC) model for twisting semiflexible polymers to any desired accuracy. We show that the WLC free energy is a periodic function of the applied twist with period 4 pi. We develop an analogy between WLC elasticity and the geometric phase of a spin half system. These analogies are used to predict elastic properties of twist-storing polymers. We graphically display the elastic response of a single molecule to an applied torque. This study is relevant to mechanical properties of biopolymers like DNA.

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