Monomer dynamics of a wormlike chain

Abstract

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.

6 pages, 4 figures

References in corpus (2)

• Stretching dynamics of semiflexible polymers
• Coupling of transverse and longitudinal response in stiff polymers

Cited by in corpus (11)

• Conformations, Transverse Fluctuations and Crossover Dynamics of a Semi-Flexible Chain in Two Dimensions
• Semiflexible Polymer Dynamics with a Bead-Spring Model
• Detailed dynamics of discrete Gaussian semiflexible chains with arbitrary stiffness along the contour
• Universal monomer dynamics of a two dimensional semi-flexible chain
• Long-term memory induced correction to Arrhenius law
• Generalised Langevin Equation Formulation for Anomalous Diffusion in the Ising Model at the Critical Temperature
• Efficient simulation of semiflexible polymers
• Kinetics of rare events for non-Markovian stationary processes and application to polymer dynamics
• Evidence and quantification of memory effects in competitive first passage events
• Approximate dynamical eigenmodes of the Ising model with local spin-exchange moves
• The equilibrium fluctuations of a semiflexible filament cross linked into a network