18 citations · 30 across the 6 of their papers we have counts for
6 papers
Can the Brownian diffusion coefficient be reconstructed from Lyapunov exponents?
I. G. Marchenko, I. I. Marchenko, D. Ivashchenko +2
We consider an ac-driven particle moving in a spatially periodic and symmetric potential. In the zero- temperature limit, for the analyzed parameter set, its dynamics is non-chaoti…
Giant increase of diffusion by small rise of friction
I. G. Marchenko, I. I. Marchenko, V. Aksenova +2
Diffusion coefficient usually decreases when friction increases. We analyze the opposite behavior in the paradigmatic system consisting of an inertial Brownian particle moving in a…
Giant oscillations of diffusion in ac-driven periodic systems
I. G. Marchenko, A. Zhiglo, V. Aksenova +4
We revisit the problem of diffusion in a driven system consisting of an inertial Brownian particle moving in a symmetric periodic potential and subjected to a symmetric time-period…
On dispersionless transport in washboard potentials
I. G. Marchenko, V. Yu. Aksenova, I. I. Marchenko +1
We reassess the "dispersionless transport regime" of Brownian particles in tilted periodic potentials. We show that the particles exhibit normal diffusive motion right after transi…
Temperature-abnormal diffusivity in underdamped space-periodic systems driven by external time-periodic force
Ivan G. Marchenko, Igor I. Marchenko, Andrey V. Zhiglo
We present a study of diffusion enhancement of underdamped Brownian particles in 1D symmetric space-periodic potential due to external symmetric time-periodic forcing with zero mea…
Abnormal Temperature-Diffusion Relationship in the External Periodic Fields
I. G. Marchenko, I. I. Marchenko
Using the methods of computer modeling this scientific paper studies the special features of diffusion of the particles subjected to the external periodic force in the crystal latt…