159 citations · 260 across the 3 of their papers we have counts for
6 papers
Linear Response in Complex Systems: CTRW and the Fractional Fokker-Planck Equations
I. M. Sokolov, A. Blumen, J. Klafter
We consider the linear response of systems modelled by continuous-time random walks (CTRW) and by fractional Fokker-Planck equations under the influence of time-dependent external…
Relative dispersion in fully developed turbulence: The Richardson's Law and Intermittency Corrections
G. Boffetta, I. M. Sokolov
Relative dispersion in fully developed turbulence is investigated by means of direct numerical simulations. Lagrangian statistics is found to be compatible with Richardson descript…
Dynamics of Annealed Systems under External Fields: CTRW and the Fractional Fokker-Planck Equations
I. M. Sokolov, A. Blumen, J. Klafter
We consider the linear response of a system modelled by continuous-time random walks (CTRW) to an external field pulse of rectangular shape. We calculate the corresponding response…
Irreversible and reversible modes of operation of deterministic ratchets
I. M. Sokolov
We discuss a problem of optimization of the energetic efficiency of a simple rocked ratchet. We concentrate on a low-temperature case in which the particle's motion in a ratchet po…
Small-World Rouse Networks as models of cross-linked polymers
S. Jespersen, I. M. Sokolov, A. Blumen
We use the recently introduced small-world networks (SWN) to model cross-linked polymers, as an extension of the linear Rouse-chain. We study the SWN-dynamics under the influence o…
Relaxation Properties of Small-World Networks
S. Jespersen, I. M. Sokolov, A. Blumen
Recently, Watts and Strogatz introduced the so-called small-world networks in order to describe systems which combine simultaneously properties of regular and of random lattices. I…