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We report on the dynamics of thermalization by extending a generalization ofthe Caldeira-Leggett model, developed in the context of cold atomic gasesconfined in a harmonic trap, to higher dimensions. Universal characteristics enroute to thermalization which appear to be independent of dimensionality arehighlighted, which additionally suggest a scaling analogous to turbulent mixingin fluid dynamics. We then focus on features dependent on dimensionality, withparticular regard to the role of angular momentum of the two atomic clouds,having in mind the goal of efficient thermalization between the two species.Finally, by considering asymmetry in species numbers, we find that nonlinearinter-species interactions provide a mode locking mechanism between themajority and minority species, relevant to recent experiments involvingFermi-Bose mixtures in the normal phase.

Universal and anomalous behavior in the thermalization of strongly interacting harmonically trapped gas mixtures