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In this paper we study the effects of quantum scalar field vacuumfluctuations on scalar test particles in an analog model for theFriedmann-Robertson-Walker spatially flat geometry. In this scenario, the caseswith one and two perfectly reflecting plane boundaries are considered as wellthe case without boundary. We find that the particles can undergo Brownianmotion with a nonzero mean squared velocity induced by the quantum vacuumfluctuations due to the time dependent background and the presence of theboundaries. Typical singularities which appears due to the presence of theboundaries in flat spacetime can be naturally regularized for an asymptoticallybounded expanding scale function. Thus, shifts in the velocity could be, atleast in principle, detectable experimentally. The possibility to implementthis observation in an analog cosmological model by the use of a Bose-Einsteincondensate is also discussed.

Quantum Brownian motion in an analog Friedmann-Robertson-Walker geometry