136 citations · 1.4k across the 71 of their papers we have counts for
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Application of hyperbolic scaling for calculation of reaction-subdiffusion front propagation
A. Iomin, I. M. Sokolov
A technique of hyperbolic scaling is applied to calculate a reaction front velocity in an irreversible autocatalytic conversion reaction under subdiffusion.…
Superdiffusive comb: Application to experimental observation of anomalous diffusion in one dimension
Alexander Iomin
A possible mechanism of superdiffusion of ultra-cold atoms in a one-dimensional polarization optical lattice, observed experimentally in [Phys. Rev. Lett. \textbf{108}, 093002 (201…
Localization-delocalization transition on a separatrix system of nonlinear Schrodinger equation with disorder
A. V. Milovanov, A. Iomin
Localization-delocalization transition in a discrete Anderson nonlinear Schrödinger equation with disorder is shown to be a critical phenomenon similar to a percolation transit…
A toy model of fractal glioma development under RF electric field treatment
A. Iomin
A toy model for glioma treatment by a radio frequency electric field is suggested. This low-intensity, intermediate-frequency alternating electric field is known as the tumor-treat…
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…