153 citations · 356 across the 12 of their papers we have counts for
10 papers · 1 filter
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…
Survival probability of stochastic processes beyond persistence exponents
N. Levernier, M. Dolgushev, O. Bénichou +2
For many stochastic processes, the probability of not-having reached a target in unbounded space up to time follows a slow algebraic decay at long times, $S(t)\sim S_0/t…
The role of non-conservative scattering forces and damping on Brownian particles in optical traps
Matthieu Mangeat, Yacine Amarouchene, Yann Louyer +2
We consider a model of a particle trapped in a harmonic optical trap but with the addition of a non-conservative radiation induced force. This model is known to correctly describe…
Dispersion in two-dimensional periodic channels with discontinuous profiles
M. Mangeat, T. Guérin, D. S. Dean
The effective diffusivity of Brownian tracer particles confined in periodic micro-channels is smaller than the microscopic diffusivity due to entropic trapping. Here, we study diff…
Universal first-passage statistics of aging processes
N. Levernier, O. Bénichou, T. Guérin +1
Many out of equilibrium phenomena, such as diffusion-limited reactions or target search processes, are controlled by first-passage events. So far the general determination of the m…
Mean first-passage times of non-Markovian random walkers in confinement
T. Guérin, N. Levernier, O. Bénichou +1
The first-passage time (FPT), defined as the time a random walker takes to reach a target point in a confining domain, is a key quantity in the theory of stochastic processes. Its…
Universal time dependent dispersion properties for diffusion in a one-dimensional critically tilted potential
T. Guérin, D. S. Dean
We consider the time dependent dispersion properties of overdamped tracer particles diffusing in a one dimensional periodic potential under the influence of an additional constant…
Kubo formulas for dispersion in heterogeneous periodic non-equilibrium systems
T. Guérin, D. S. Dean
We consider the dispersion properties of tracer particles moving in non-equilibrium heterogeneous periodic media. The tracer motion is described by a Fokker-Planck equation with ar…
Force-induced dispersion in heterogeneous media
Thomas Guérin, David S Dean
The effect of a constant applied external force, induced for instance by an electric or gravitational field, on the dispersion of Brownian particles in periodic media with spatiall…
Approach to asymptotically diffusive behavior for Brownian particles in media with periodic diffusivities
David S. Dean, Thomas Guérin
We analyze the mean squared displacement of a Brownian particle in a medium with a spatially varying local diffusivity which is assumed to be periodic. When the system is asymptoti…