Brownian particle in a time-dependent magnetic field

Abstract

We derive Volterra integral equations of the second type that determine the motion of a Brownian particle driven internally by exponentially correlated stochastic force and subject to a timedependent magneticfield. The resolvent kernel for the integral equations are solved in terms of the transfer functions derived in the time-independent case. The mean values and fluctuations in position and velocity of the particle are computed. In general, it is shown that equilibrium conditions are not necessarily met when a time-varying magnetic field is applied.