Beyond Boltzmann–Gibbs statistical mechanics in optical lattices
Cold atoms in dissipative optical lattices exhibit an unusual transport behaviour that cannot
be described within Boltzmann–Gibbs statistical mechanics. New theoretical tools and …
be described within Boltzmann–Gibbs statistical mechanics. New theoretical tools and …
Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking
Modern microscopic techniques following the stochastic motion of labelled tracer particles
have uncovered significant deviations from the laws of Brownian motion in a variety of …
have uncovered significant deviations from the laws of Brownian motion in a variety of …
From the area under the Bessel excursion to anomalous diffusion of cold atoms
Lévy flights are random walks in which the probability distribution of the step sizes is fat-
tailed. Lévy spatial diffusion has been observed for a collection of ultracold Rb 87 atoms and …
tailed. Lévy spatial diffusion has been observed for a collection of ultracold Rb 87 atoms and …
Non-normalizable densities in strong anomalous diffusion: Beyond the central limit theorem
Strong anomalous diffusion, where⟨| x (t)| q⟩∼ tq ν (q) with a nonlinear spectrum ν (q)≠
const, is wide spread and has been found in various nonlinear dynamical systems and …
const, is wide spread and has been found in various nonlinear dynamical systems and …
Scaling Green-Kubo relation and application to three aging systems
The Green-Kubo formula relates the spatial diffusion coefficient to the stationary velocity
autocorrelation function. We derive a generalization of the Green-Kubo formula that is valid …
autocorrelation function. We derive a generalization of the Green-Kubo formula that is valid …
Infinite densities for Lévy walks
Motion of particles in many systems exhibits a mixture between periods of random diffusive-
like events and ballistic-like motion. In many cases, such systems exhibit strong anomalous …
like events and ballistic-like motion. In many cases, such systems exhibit strong anomalous …
Transitions in the ergodicity of subrecoil-laser-cooled gases
With subrecoil-laser-cooled atoms, one may reach nanokelvin temperatures while the
ergodic properties of these systems do not follow usual statistical laws. Instead, due to an …
ergodic properties of these systems do not follow usual statistical laws. Instead, due to an …
Universal first-passage statistics in aging media
It has been known for a long time that the kinetics of diffusion-limited reactions can be
quantified by the time needed for a diffusing molecule to reach a target: the first-passage …
quantified by the time needed for a diffusing molecule to reach a target: the first-passage …
The Lévy walk with rests under stochastic resetting
J Liu, Y Hu, JD Bao - Journal of Statistical Mechanics: Theory and …, 2023 - iopscience.iop.org
The Lévy walk with rests (LWR) model is a typical two-state stochastic process that has been
widely and successfully adopted in the study of intermittent stochastic phenomena in …
widely and successfully adopted in the study of intermittent stochastic phenomena in …
Fractional anisotropic diffusion equation in cylindrical brush model
In this work, we have suggested a neat method of obtaining the fractional diffusion equation
for an anomalous anisotropic diffusion process using fractal brush structure as a background …
for an anomalous anisotropic diffusion process using fractal brush structure as a background …