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Microscopic theory for negative differential mobility in crowded environments
O. Bénichou, P. Illien, G. Oshanin +2
We study the behavior of the stationary velocity of a driven particle in an environment of mobile hard-core obstacles. Based on a lattice gas model, we demonstrate analytically tha…
Exit time distribution in spherically symmetric two-dimensional domains
J. -F. Rupprecht, O. Bénichou, D. S. Grebenkov +1
The distribution of exit times is computed for a Brownian particle in spherically symmetric two- dimensional domains (disks, angular sectors, annuli) and in rectangles that contain…
Mean cover time of one-dimensional persistent random walks
Marie Chupeau, Olivier Bénichou, Raphaël Voituriez
The cover time is defined as the time needed for a random walker to visit every site of a confined domain. Here, we focus on persistent random walks, which provide a minimal model…
Mean exit time for surface-mediated diffusion: spectral analysis and asymptotic behavior
O. Bénichou, D. S. Grebenkov, L. Hillairet +3
We consider a model of surface-mediated diffusion with alternating phases of pure bulk and surface diffusion. For this process, we compute the mean exit time from a disk through a…