2 citations · 4 across the 8 of their papers we have counts for
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From Continuous-Time Random Walks to Laplace Tails
Omer Hamdi, Stanislav Burov, Eli Barkai
During Brownian motion, the displacement is normally distributed, a classical fact aligned with the central limit theorem. However, single particle tracking in complex media such a…
Tunable Anomalous Diffusion in Subrecoil-Laser-Cooled Atoms
Soma Shiraki, Eli Barkai, Takuma Akimoto
Laser cooling of atomic motion enables advances in quantum information and precision metrology. However, the spatial spreading of subrecoil-laser-cooled atoms---crucial for underst…
Diffusion in Quenched Random Environments: Reviving Laplace's First Law of Errors
Lucianno Defaveri, Eli Barkai
Laplace's first law of errors, which states that the frequency of an error can be represented as an exponential function of the error magnitude, was overlooked for many decades but…
Laplace's first law of errors applied to diffusive motion
Omer Hamdi, Stanislav Burov, Eli Barkai
In biological, glassy, and active systems, various tracers exhibit Laplace-like, i.e., exponential, spreading of the diffusing packet of particles. The limitations of the central l…
First passage times in compact domains exhibit bi-scaling
Talia Baravi, David A. Kessler, Eli Barkai
The study of first passage times for diffusing particles reaching target states is foundational in various practical applications, including diffusion-controlled reactions. In this…
Fractional Advection Diffusion Asymmetry Equation, derivation, solution and application
Wanli Wang, Eli Barkai
The non-Markovian continuous-time random walk model, featuring fat-tailed waiting times and narrow distributed displacements with a non-zero mean, is a well studied model for anoma…