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math-ph2024
Diffusion Limit of the Low-Density Magnetic Lorentz Gas
Alessia Nota, Dominik Nowak, Chiara Saffirio
We consider the magnetic Lorentz gas proposed by Bobylev et al. [4], which describes a point particle moving in a random distribution of hard-disk obstacles in under…
math-ph2023★ 1 cited
Weakly interacting Fermions: mean-field and semiclassical regimes
Chiara Saffirio
The derivation of effective macroscopic theories approximating microscopic systems of interacting particles is a major question in non-equilibrium statistical mechanics. In these n…
math-ph2016★ 54 cited
Mean field evolution of fermions with Coulomb interaction
Marcello Porta, Simone Rademacher, Chiara Saffirio +1
We study the many body Schrödinger evolution of weakly coupled fermions interacting through a Coulomb potential. We are interested in a joint mean field and semiclassical scaling,…