  Over the last century Bohr van Leuween theorem attracted the notice of
physicists. The theorem states about the absence of magnetization in classical
systems in thermal equilibrium. In this paper, we discuss about fluctuations of
magnetic moment in classical systems. In recent years this topic has been
investigated intensively and it is not free from controversy. We a have
considered a system consisting of a single particle moving in a plane. A
magnetic field is applied perpendicular to the plane. The system is in contact
with a thermal bath. We have considered three cases: (a) particle moving in a
homogeneous medium, (b) particle moving in a medium with space dependent
friction and (c) particle moving in a medium with space dependent temperature.
For all the three cases average magnetic moment and fluctuations in magnetic
moment has been calculated. Average magnetic moment saturates to a finite value
in case of free particle but goes to zero when the particle is confined by a
2-D harmonic potential. Fluctuations in magnetic moment shows universal
features in the presence of arbitrary friction inhomogeneity. For this case the
system reaches equilibrium asymptotically. In case of space dependent
temperature profile, the stationary distribution is non-Gibbsian and
fluctuations deviate from universal value for the bounded system only.
