Accuracy of the non-relativistic approximation for momentum diffusion

Shiuan Ni Liang, Boon Leong Lan

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    Abstract

    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
    Volume131
    Issue number6
    DOIs
    Publication statusPublished - 29 Jun 2016

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