Monomer dynamics of a wormlike chain
  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. 
Jakob T\'omas Bullerjahn, Sebastian Sturm, Lars Wolff and Klaus Kroy
cond-mat.soft cond-mat.stat-mech