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Hydrodynamic limits of interacting particle systems on crystal lattices in periodic realizations

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 نشر من قبل Zehao Guan
 تاريخ النشر 2020
  مجال البحث
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 تأليف Zehao Guan




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We study the hydrodynamic limits of the simple exclusion processes and the zero range processes on crystal lattices. For a periodic realization of crystal lattice, we derive the hydrodynamic limit for the exclusion processes and the zero range processes, which depends on both the structure of crystal lattice and the periodic realization. Even through the crystal lattices have inhomogeneous local structure, for all periodic realizations, we apply the entropy method to derive the hydrodynamic limits. Also, we discuss how the limit equation depends on the choices of the realizations.



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