Monomer dynamics of a wormlike chain

Details Monomer dynamics of a wormlike chain Monomer dynamics of a wormlike chain

2011-08-23

arxiv.org/abs/1108.4553v2

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 4 figures

Scientific paper

10.1209/0295-5075/96/48005

We derive the stochastic equations of motion for a tracer that is tightly attached to a semiflexible polymer and confined or agitated by an externally controlled potential. The generalised Langevin equation, the power spectrum, and the mean-square displacement for the tracer dynamics are explicitly constructed from the microscopic equations of motion for a weakly bending wormlike chain by a systematic coarse-graining procedure. Our accurate analytical expressions should provide a convenient starting point for further theoretical developments and for the analysis of various single-molecule experiments and of protein shape fluctuations.

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