2 papers
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-ph2024
The Lorentz Gas in a Mean-Field Potential: Weak Coupling and Diffusive Regime
Dominik Nowak
We investigate the diffusive scaling of the Lorentz gas in the presence of an external force of mean-field type. In the weak coupling regime and for diffusive time scales, the test…