662 citations · 7.3k across the 132 of their papers we have counts for
8 papers · 1 filter
Brownian particles in periodic potentials: coarse-graining versus fine structure
Lucianno Defaveri, Eli Barkai, David A. Kessler
We study the motion of an overdamped particle connected to a thermal heat bath in the presence of an external periodic potential in one dimension. When we coarse-grain, i.e., bin t…
Exponential Tails and Asymmetry Relations for the Spread of Biased Random Walks
Stanislav Burov, Wanli Wang, Eli Barkai
Exponential, and not Gaussian, decay of probability density functions was studied by Laplace in the context of his analysis of errors. Such Laplace propagators for the diffusive mo…
Controls that expedite first passage times in disordered systems
Marc Höll, Alon Nissan, Brian Berkowitz +1
First passage time statistics in disordered systems exhibiting scale invariance are studied widely. In particular, long trapping times in energy or entropic traps are fat-tailed di…
Local equilibrium properties of ultraslow diffusion in the Sinai model
Amin Padash, Erez Aghion, Alexander Schulz +4
We perform numerical studies of a thermally driven, overdamped particle in a random quenched force field, known as the Sinai model. We compare the unbounded motion on an infinite 1…
Restart expedites quantum walk hitting times
Ruoyu Yin, Eli Barkai
Classical first-passage times under restart are used in a wide variety of models, yet the quantum version of the problem still misses key concepts. We study the quantum hitting tim…
Designing exceptional-point-based graphs yielding topologically guaranteed quantum search
Quancheng Liu, David A. Kessler, Eli Barkai
Quantum walks underlie an important class of quantum computing algorithms, and represent promising approaches in various simulations and practical applications. Here we design stro…