41 citations · 97 across the 8 of their papers we have counts for
8 papers
Electro-chemical manifestation of nanoplasmonics in fractal media
E. Baskin, A. Iomin
Electrodynamics of composite materials with fractal geometry is studied in the framework of fractional calculus. This consideration establishes a link between fractal geometry of t…
Geometrical enhancement of the electric field: Application of fractional calculus in nanoplasmonics
E. Baskin, A. Iomin
We developed an analytical approach, for a wave propagation in metal-dielectric nanostructures in the quasi-static limit. This consideration establishes a link between fractional g…
Electrostatics in Fractal Geometry: Fractional Calculus Approach
Emmanuel Baskin, Alexander Iomin
The electrostatics properties of composite materials with fractal geometry are studied in the framework of fractional calculus. An electric field in a composite dielectric with a f…
Negative superdiffusion due to the inhomogeneous convection
A. Iomin, E. Baskin
Fractional transport of particles on a comb structure in the presence of an inhomogeneous convection flow is studied. The large scale asymptotics is considered. It is shown that a…
On log--normal distribution on a comb structure
E. Baskin, A. Iomin
We study specific properties of particles transport by exploring an exact solvable model, a so-called comb structure, where diffusive transport of particles leads to subdiffusion.…
Equilibrial Charge of Grains and Low-temperature Conductivity of Granular Metals
E. M. Baskin, M. V. Entin
The low-temperature equilibrial state of a system of small metal grains, embedded into insulator, is studied. We find, that the grains may be charged due to the fluctuations of the…