483 citations · 3.9k across the 134 of their papers we have counts for
5 papers · 1 filter
How stickiness can speed up diffusion in confined systems
Arthur Alexandre, Matthieu Mangeat, Thomas Guérin +1
The paradigmatic model for heterogeneous media used in diffusion studies is built from reflecting obstacles and surfaces. It is well known that the crowding effect produced by thes…
Effective diffusivity of Brownian particles in a two dimensional square lattice of hard disks
M. Mangeat, T. Guérin, D. S. Dean
We revisit the classic problem of the effective diffusion constant of a Brownian particle in a square lattice of reflecting impenetrable hard disks. This diffusion constant is also…
Steady state of overdamped particles in the non-conservative force field of a simple non-linear model of optical trap
M. Mangeat, T. Guérin, D. S. Dean
Optically trapped particles are often subject to a non-conservative scattering force arising from radiation pressure. In this paper we present an exact solution for the steady stat…
Generalized Taylor dispersion for translationally invariant microfluidic systems
Arthur Alexandre, Thomas Guérin, David S. Dean
We consider Taylor dispersion for tracer particles in micro-fluidic planar channels with strong confinement. In this context, the channel walls modify the local diffusivity tensor…
Wigner function for noninteracting fermions in hard wall potentials
Benjamin De Bruyne, David S. Dean, Pierre Le Doussal +2
The Wigner function is a useful quantity to characterize the quantum fluctuations of an -body system in its phase space. Here we study $W_N({\bf x}, {\bf…