  We study the dynamical properties of the ordered phases obtained in a coupled
nonequilibrium system describing advection of two species of particles by a
stochastically evolving landscape. The local dynamics of the landscape also
gets affected by the particles. In a companion paper we have presented static
properties of different phases that arise as the two-way coupling parameters
are varied. In this paper we discuss the dynamics. We show that in the ordered
phases macroscopic particle clusters move over an ergodic time-scale growing
exponentially with system size but the ordered landscape shows dynamics over a
faster time-scale growing as a power of system size. We present a scaling
ansatz that describes several dynamical correlation functions of the landscape
measured in steady state.
