Molecular elasticity and the geometric phase.

نویسندگان

  • Joseph Samuel
  • Supurna Sinha
چکیده

We present a method for solving the wormlike-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 4pi. We develop an analogy between WLC elasticity and the geometric phase of a spin-1 / 2 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 such as DNA.

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عنوان ژورنال:
  • Physical review letters

دوره 90 9  شماره 

صفحات  -

تاریخ انتشار 2003