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In this paper we introduce a modified lattice Boltzmann model (LBM) with thecapability of mimicking a fluid system with dynamic heterogeneities. Thephysical system is modeled as a one-dimensional fluid, interacting withfinite-lifetime moving obstacles. Fluid motion is described by a latticeBoltzmann equation and obstacles are randomly distributed semi-permeablebarriers which constrain the motion of the fluid particles. After a lifetimedelay, obstacles move to new random positions. It is found that thenon-linearly coupled dynamics of the fluid and obstacles produces heterogeneouspatterns in fluid density and non-exponential relaxation of two-timeautocorrelation function.Comment: 10 pages, 9 figures, to be published in Eur. Phys. J.

A lattice Boltzmann model with random dynamical constraints