  The steady state of a Brownian particle diffusing in an arbitrary potential
under the stochastic resetting mechanism has been studied. We show that there
are different classes of nonequilibrium steady states depending on the nature
of the potential. In the stable potential landscape, the system attains a well
defined steady state however existence of the steady state for the unstable
landscape is constrained. We have also investigated the transient properties of
the propagator towards the steady state under the stochastic resetting
mechanism. Finally, we have done numerical simulations to verify our analytical
results.

Statistical Mechanics;Soft Condensed Matter