Abstract
We derive the Vlasov hydrodynamics from the microscopic equations of a quantum mechanical model, which simulates that of an assembly of gravitating particles. In addition we show that the local microscopic dynamics of the model corresponds, on a suitable time-scale, to that of an ideal Fermi gas.
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Communicated by J. L. Lebowitz
Work supported in part by “Fonds zur Förderung der wissenschaftlichen Forschung in Osterreich”, Project number 3569
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Narnhofer, H., Sewell, G.L. Vlasov hydrodynamics of a quantum mechanical model. Commun.Math. Phys. 79, 9–24 (1981). https://doi.org/10.1007/BF01208282
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DOI: https://doi.org/10.1007/BF01208282