caa a22 4500 605515107 CHVBK 20210128100707.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s00205-014-0809-y doi (NATIONALLICENCE)springer-10.1007/s00205-014-0809-y A Kac Model for Fermions [Elektronische Daten] [Matteo Colangeli, Federica Pezzotti, Mario Pulvirenti] We introduce a stochastic N-particle system and show that, as N → ∞, 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. Springer-Verlag Berlin Heidelberg, 2014 Colangeli Matteo Dep. Matemática-ICEx, UFMG, CP 702, 30161-970, Belo Horizonte, MG, Brazil aut Pezzotti Federica Dipartimento di Matematica, "G. Castelnuovo”-"Sapienza”, Università di Roma, Rome, Italy aut Pulvirenti Mario Dipartimento di Matematica, "G. Castelnuovo”-"Sapienza”, Università di Roma, Rome, Italy aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/2(2015-05-01), 359-413 0003-9527 216:2<359 2015 216 205 https://doi.org/10.1007/s00205-014-0809-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-014-0809-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Colangeli Matteo Dep. Matemática-ICEx, UFMG, CP 702, 30161-970, Belo Horizonte, MG, Brazil aut NATIONALLICENCE 700 1- Pezzotti Federica Dipartimento di Matematica, "G. Castelnuovo”-"Sapienza”, Università di Roma, Rome, Italy aut NATIONALLICENCE 700 1- Pulvirenti Mario Dipartimento di Matematica, "G. Castelnuovo”-"Sapienza”, Università di Roma, Rome, Italy aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/2(2015-05-01), 359-413 0003-9527 216:2<359 2015 216 205