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Absolute negative mobility of an active tracer in a crowded environment
Pierre Rizkallah, Alessandro Sarracino, Olivier Bénichou +1
Absolute negative mobility (ANM) refers to the situation where the average velocity of a driven tracer is opposite to the direction of the driving force. This effect was evidenced…
Path integrals for fractional Brownian motion and fractional Gaussian noise
Baruch Meerson, Olivier Bénichou, Gleb Oshanin
The Wiener's path integral plays a central role in the studies of Brownian motion. Here we derive exact path-integral representations for the more general \emph{fractional} Brownia…
Universal exploration dynamics of random walks
Léo Régnier, Maxim Dolgushev, S. Redner +1
The territory explored by a random walk is a key property that may be quantified by the number of distinct sites that the random walk visits up to a given time. The extent of this…
Driven Tracer in the Symmetric Exclusion Process: Linear Response and Beyond
Aurélien Grabsch, Pierre Rizkallah, Pierre Illien +1
Tracer dynamics in the Symmetric Exclusion Process, where hardcore particles diffuse on an infinite one-dimensional lattice, is a paradigmatic model of anomalous diffusion. While t…
Duality relations in single-file diffusion
Pierre Rizkallah, Aurélien Grabsch, Pierre Illien +1
Single-file transport, which corresponds to the diffusion of particles that cannot overtake each other in narrow channels, is an important topic in out-of-equilibrium statistical p…
Exact time dependence of the cumulants of a tracer position in a dense lattice gas
Alexis Poncet, Aurélien Grabsch, Olivier Bénichou +1
We develop a general method to calculate the exact time dependence of the cumulants of the position of a tracer particle in a dense lattice gas of hardcore particles. More precisel…