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<p>We are concerned with the study of the large time behavior of the solutions of a nonlinear kinetic Fokker-Planck type equation modeling quantum particles which obey the Fermi-Dirac statistics. We show how the hypocoercivity methods applies to quantify explicitly the exponential decay towards Fermi-Dirac distribution.</p>

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Large time asymptotics of a nonlinear kinetic Fokker-Planck equations for Fermions

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  • 出版模式：

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  • 发表日期：

    2025年7月22日

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  • Lanoir Addala

摘要

We are concerned with the study of the large time behavior of the solutions of a nonlinear kinetic Fokker-Planck type equation modeling quantum particles which obey the Fermi-Dirac statistics. We show how the hypocoercivity methods applies to quantify explicitly the exponential decay towards Fermi-Dirac distribution.