145 citations · 145 across the 3 of their papers we have counts for
5 papers
Lévy flights as subordination process: first passage times
Igor M. Sokolov, R. Metzler
We obtain the first passage time density for a Lévy flight random process from a subordination scheme. By this method, we infer the asymptotic behavior directly from the Brownian s…
Distributed-Order Fractional Kinetics
I. M. Sokolov, A. V. Chechkin, J. Klafter
Fractional diffusion equations are widely used to describe anomalous diffusion processes where the characteristic displacement scales as a power of time. For processes lacking such…
Optimizing a Ratchet Gear
I. M. Sokolov
The energetic efficiencies of rocked ratchets reported in the literature typically lie in the sub-percent range. We discuss the problem of optimization of the energetic efficiency…
Firewalls, Disorder, and Percolation in Epidemics
C. P. Warren, L. M. Sander, I. M. Sokolov
We consider a spatial model related to bond percolation for the spread of a disease that includes variation in the susceptibility to infection. We work on a lattice with random bon…
Ideally Efficient Irreversible Molecular Gears
I. M. Sokolov
Typical man-made locomotive devices use reversible gears, as cranks, for transforming reciprocating motion into directed one. Such gears are holonomic and have the transduction eff…