83 citations · 254 across the 7 of their papers we have counts for
7 papers
Asymptotic densities of ballistic Lévy walks
D. Froemberg, M. Schmiedeberg, E. Barkai +1
We propose an analytical method to determine the shape of density profiles in the asymptotic long time limit for a broad class of coupled continuous time random walks which operate…
A no-go theorem for ergodicity and an Einstein relation
D. Froemberg, E. Barkai
We provide a simple no-go theorem for ergodicity and the generalized Einstein relation for anomalous diffusion processes. The theorem states that either ergodicity in the sense of…
Random time averaged diffusivities for Lévy walks
D. Froemberg, E. Barkai
We investigate a Lévy-Walk alternating between velocities with opposite sign. The sojourn time probability distribution at large times is a power law lacking its mean or…
Time averaged Einstein relation and fluctuating diffusivities for the Lévy walk
Daniela Froemberg, Eli Barkai
The Lévy walk model is a stochastic framework of enhanced diffusion with many applications in physics and biology. Here we investigate the time averaged mean squared displacement $…
Asymptotic front behavior in an reaction under subdiffusion
D. Froemberg, H. H. Schmidt-Martens, I. M. Sokolov +1
We discuss the front propagation in the reaction under subdiffusion which is described by continuous time random walks with a heavy-tailed power law waiting tim…
Front propagation in A+B -> 2A reaction under subdiffusion
Daniela Froemberg, Hauke Schmidt-Martens, Igor M. Sokolov +1
We consider an irreversible autocatalytic conversion reaction A+B -> 2A under subdiffusion described by continuous time random walks. The reactants' transformations take place inde…
Stationary spatial structures in reaction-subdiffusion
Daniela Froemberg, Igor M. Sokolov
We discuss stationary concentrations of reactants in an A + B -> 0 reaction under subdiffusion and show that they are described by stationary reaction-diffusion equations with a no…