Dynamics of a Charged, Semi-flexible Polymer with Hydrodynamic Interaction.

We study static and dynamic correlation functions of segmental charge density and orientation in a semi-flexible polyelectrolyte. The semi-flexible polymer is described by the mean-field wormlike chain model, where the effective Hamiltonian incorporates bending and stretching energies. Furthermore, we incorporate the Coulombic interaction and hydrodynamic interaction between the beads screened and mediated respectively by ionic fluid environment. We analytically calculate the correlation functions and discuss how conformation and dynamics are affected by net charge value, segmental charge fluctuation, and persistence length. The Brownian dynamic simulations are performed to support and extend the analytical results.