  In this paper we study the quantum brownian motion of a scalar point particle
in the analog Friedman-Robertson-Walker spacetime in the presence of a
disclination, in a condensed matter system. The analog spacetime is obtained as
an effective description of a Bose-Einstein condensate in terms of quantum
excitations of sound waves, named phonons. The dynamics of the phonons is
described by a massless real scalar field whose modes are also subjected to a
quasi-periodic condition. In this sense, we find exact solutions for the real
scalar field in this scenario and calculate the two-point function which makes
possible to analyze the mean squared velocity dispersion of the particle in all
directions. We, thus, analyze some interesting particular cases and show some
graphs where it is possible to see the consistency of our results.
