  In this paper we introduce a modified lattice Boltzmann model (LBM) with the
capability of mimicking a fluid system with dynamic heterogeneities. The
physical system is modeled as a one-dimensional fluid, interacting with
finite-lifetime moving obstacles. Fluid motion is described by a lattice
Boltzmann equation and obstacles are randomly distributed semi-permeable
barriers which constrain the motion of the fluid particles. After a lifetime
delay, obstacles move to new random positions. It is found that the
non-linearly coupled dynamics of the fluid and obstacles produces heterogeneous
patterns in fluid density and non-exponential relaxation of two-time
autocorrelation function.
