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cond-mat.stat-mech2026
Intermediate scattering function of Brownian particles in a tilted cosine potential
Regina Rusch, Thomas Franosch
We solve the Fokker-Planck equation for a Brownian particle in a tilted cosine potential and derive the intermediate scattering function (ISF), which captures the full spatio-tempo…
cond-mat.stat-mech2026
Fundamental problems in Statistical Physics XIV: Lecture on Correlation and response functions in statistical physics
Thomas Franosch
In the first part of these short lecture notes, we will present an introduction on (auto-)correlation functions and linear-response functions in the language of a physicist. In par…
cond-mat.stat-mech2024
Dimensional crossover via confinement in the lattice Lorentz gas
A. Squarcini, A. Tinti, P. Illien +2
We consider a lattice model in which a tracer particle moves in the presence of randomly distributed immobile obstacles. The crowding effect due to the obstacles interplays with th…