  The dynamics of low-dimensional Brownian particles coupled to time-dependent
driven anisotropic heavy particles (mesogens) in a uniform bath (solvent) have
been described through the use of a variant of the stochastic Langevin
equation. The rotational motion of the mesogens is assumed to follow the motion
of an external driving field in the linear response limit. Reaction dynamics
have also been probed using a two-state model for the Brownian particles.
Analytical expressions for diffusion and reaction rates have been developed and
are found to be in good agreement with numerical calculations. When the
external field driving the mesogens is held at constant rotational frequency,
the model for reaction dynamics predicts that the applied field frequency can
be used to control the product composition.
