  The Brownian motion of a heavy quark under a rotating plasma corresponds to
BTZ black hole is studied using holographic method from string theory. The
position of heavy quark is represented as the end of string at the boundary of
BTZ black hole and the corresponding rotating plasma is one dimensional compact
space. We requires the angular velocity of the string fluctuation to be equal
to the ratio between inner horizon and outer horizon, called terminal angular
velocity, which is related to the zero total force condition. We show the
displacement square of this solution behaves as a Brownian particle in
non-relativistic limit. For relativistic case, we argue that it is more
appropriate to compute the leading order of low frequency limit of
random-random force correlator. The Brownian motion relates this correlator
with physical observables: effective mass of the Brownian particle, friction
coefficient, and temperature of the plasma.
