98 citations · 330 across the 13 of their papers we have counts for
8 papers · 1 filter
Subdiffusive transport in intergranular lanes on the Sun. The Leighton model revisited
Aleksander Stanislavsky, Karina Weron
In this paper we consider a random motion of magnetic bright points (MBP) associated with magnetic fields at the solar photosphere. The MBP transport in the short time range [0-20…
Two-time scale subordination in physical processes with long-term memory
Aleksander Stanislavsky, Karina Weron
We use the two-time scale subordination in order to describe dynamical processes in continuous media with a long-term memory. Our consideration touches two physical examples in det…
Subordination scenario of anomalous relaxation
Aleksander Stanislavsky, Karina Weron
The non-exponential relaxation is shown to result from subordination by inverse tempered α-stable processes. The main feature of tempered α-stable processes is a finiteness of thei…
Tempered relaxation with clustering patterns
Aleksander Stanislavsky, Karina Weron
This work is motivated by the relaxation data for materials which exhibit a change of the relationship between the fractional power-law exponents when different relaxation peaks in…
Experimental Evidence of the Role of Compound Counting Processes in Random Walk Approaches to Fractional Dynamics
Justyna Trzmiel, Karina Weron, Aleksander Stanislavsky +1
We present dielectric spectroscopy data obtained for gallium-doped CdMnTe:Ga mixed crystals which exhibit a very special case of the two-power-law relaxation patt…
Diffusion and Relaxation Controlled by Tempered α-stable Processes
Aleksander Stanislavsky, Karina Weron, Aleksander Weron
We derive general properties of anomalous diffusion and nonexponential relaxation from the theory of tempered α-stable processes. Its most important application is to overcome the…