A Kac Model for Fermions

作者:Colangeli Matteo*; Pezzotti Federica; Pulvirenti Mario
来源:Archive for Rational Mechanics and Analysis, 2015, 216(2): 359-413.
DOI:10.1007/s00205-014-0809-y

摘要

We introduce a stochastic N-particle system and show that, as N -> a, an effective description ruled by the homogeneous fermionic Uehling-Uhlenbeck equation is recovered. The particle model we consider is the same as the Kac model for the homogeneous Boltzmann equation with an additional exclusion constraint taking into account the Pauli Exclusion Principle.

  • 出版日期2015-5