Dynamical response of charged polymers subject to an external magnetic field.

It is known that Lorentz forces acting on Brownian charged particles give rise to intricate novel effects caused by breaking the time-reversal symmetry and the rotation-translational couplings, even in the overdamped limit. In recent years there has been an upsurge of theoretical investigations on the effects that an external magnetic field can have on the dynamics of charged monomers and dimers in a viscous solvent, but extensions to charged long polymer chains are still missing. In this thesis, I study the magneto-generated dynamics of models of charged polymers in the overdamped limit as induced by the Lorentz force. The investigation is carried out both analytically and numerically. The analytical approach is applied to a charged Rouse chain, a simple model of a phantom chain (e.g., chains with no excluded volume interactions) that can be solved via Fourier modes. In particular, I investigate the planar (2D) motion of both the center of mass and the end-to-end distance in a uniform magnetic field pointing perpendicularly to the plane where the polymer resides. The simulations are carried out in the underdamped limit, since the overdamped approximation for non-symmetric mobility matrix gives rise to non-trivial stochastic forces.