Accuracy of the non-relativistic approximation for momentum diffusion

Shiuan Ni Liang, Boon Leong Lan

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    2 Citations (Scopus)


    The accuracy of the non-relativistic approximation, which is calculated using the same parameter and the same initial ensemble of trajectories, to relativistic momentum diffusion at low speed is studied numerically for a prototypical nonlinear Hamiltonian system -the periodically delta-kicked particle. We find that if the initial ensemble is a non-localized semi-uniform ensemble, the non-relativistic approximation to the relativistic mean square momentum displacement is always accurate. However, if the initial ensemble is a localized Gaussian, the non-relativistic approximation may not always be accurate and the approximation can break down rapidly.

    Original languageEnglish
    Article number218
    Number of pages7
    JournalThe European Physical Journal Plus
    Issue number6
    Publication statusPublished - 29 Jun 2016

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