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Explore cutting-edge research on space plasma dynamics in this 32-minute conference session from the 2012 AGU Fall Meeting. Delve into two invited presentations: the first examining statistical and physical aspects of self-organized criticality in solar flares and astrophysical phenomena, and the second investigating the complexity of radial transport of radiation belt electrons at Earth. Gain insights into the ongoing debate of whether space plasma dynamics are primarily deterministic or stochastic in nature, and understand the implications for various astrophysical processes.