Fractional Boltzmann equation for resonance radiation transport in plasma - Physics > Plasma PhysicsReport as inadecuate




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Abstract: The fractional Boltzmann equation for resonance radiation transport in plasmais proposed. We start from the standard Boltzmann equation, averaging overfrequencies leads to appearance of fractional derivative. This fact is inaccordance with the conception of latent variables leading to hereditary andnon-local dynamics in particular, fractional dynamics. The presence of thefractional material derivative in the equation is concordant with heavy taileddistribution of photon path lengths and with spatiotemporal coupling peculiarto the process. We discuss some methods of solution of the obtained equationand demonstrate numerical results in some simple cases.



Author: Vladimir V. Uchaikin, Renat T. Sibatov

Source: https://arxiv.org/







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