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    Classical dynamics of harmonically trapped interacting particles


    Dong, Zhiyu and Moessner, Roderich and Haque, Masud (2018) Classical dynamics of harmonically trapped interacting particles. Journal of Statistical Mechanics: Theory and Experiment (063106). ISSN 1742-5468

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    Abstract

    Motivated by current interest in the dynamics of trapped quantum gases, we study the microcanonical dynamics of a trapped 1D gas of classical particles interacting via a finite-range repulsive force of tunable strength. We examine two questions whose analogues have been of interest in quantum dynamics: (1) the breathing mode (size oscillation) dynamics of the trapped gas and the dependence of the breathing frequency on the interaction strength, and (2) the long-time relaxation and possible thermalization of the finite isolated gas. We show that the breathing mode frequency has non-monotonic dependence on the magnitude of the mutual repulsion, decreasing for small interactions and increasing for larger interactions. We explain these dependences in terms of slowing-down or speeding-up effects of two-body collision processes. We find that the gas thermalizes within a reasonable finite timescale in the sense of single-particle energies acquiring a Boltzmann distribution, only when the interaction strength is large compared to the energy per particle.

    Item Type: Article
    Additional Information: Cite as: Zhiyu Dong et al J. Stat. Mech. (2018) 063106
    Keywords: dynamical processes; molecular dynamics; quantum gases; quantum thermalization;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 10557
    Identification Number: https://doi.org/10.1088/1742-5468/aac741
    Depositing User: Masud Haque
    Date Deposited: 21 Feb 2019 16:45
    Journal or Publication Title: Journal of Statistical Mechanics: Theory and Experiment
    Publisher: Institute of Physics
    Refereed: Yes
    URI:

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