94 citations · 159 across the 12 of their papers we have counts for
5 papers · 1 filter
Fractional Boltzmann equation for resonance radiation transport in plasma
Vladimir V. Uchaikin, Renat T. Sibatov
The fractional Boltzmann equation for resonance radiation transport in plasma is proposed. We start from the standard Boltzmann equation, averaging over frequencies leads to appear…
Fractional relaxation and wave equations for dielectrics characterized by the Havriliak-Negami response function
Renat T. Sibatov, Dmitry V. Uchaikin
A fractional relaxation equation in dielectrics with response function of the Havriliak-Negami type is derived. An explicit expression for the fractional operator in this equation…
Truncated Levy statistics for transport in disordered semiconductors
Renat T. Sibatov, Vladimir V. Uchaikin
Probabilistic interpretation of transition from the dispersive transport regime to the quasi-Gaussian one in disordered semiconductors is given in terms of truncated Levy distribut…
Fractional processes: from Poisson to branching one
Vladimir V. Uchaikin, Dexter O. Cahoy, Renat T. Sibatov
Fractional generalizations of the Poisson process and branching Furry process are considered. The link between characteristics of the processes, fractional differential equations a…
Statistical model of charge transport in colloidal quantum dot array
Renat T. Sibatov
A new statistical model of charge transport in colloidal quantum dot arrays is proposed. It takes into account Coulomb blockade forbidding multiple occupancy of nanocrystals and in…