Clustering, pattern formation and phase separation in granular flows
Phase transition kinetics
Novel aspects of Ostwald ripening
Self-similarity and dynamic scaling
Nonlinear fluid dynamics and plasma theory
Fractal coarsening
How long will it take for an isolated population (of molecules, bacteria, animals or even people) to die out? Here are
some of our recent papers - 1, 2 and 3 - on this kind of problems.
Is there anything in common between a bunch of marbles and an expanding universe? Take a look at
our paper on clustering in a freely cooling granular gas.
You can also watch movies showing
a novel phase separation instability and fluctuations-dominated
dynamics in a simple model of fluidized granular medium, as seen
in molecular dynamics simulations. Here is one of our papers on this
subject.
One more fascinating granular phenomenon that we have worked
on is granular levitation , when a heavy close-packed
granular cluster is supported from below by a dilute granular gas. Here
is our paper on the
theory and simulations of this system.
You can also watch a Flash Movie 6.0 (1.2 Mb.) of experiment (by I. Aranson et al.) showing Ostwald
ripening far from equilibrium: coarsening of granular clusters in
electrostatically-driven metallic powders. Here is our paper on a
theory of this process.
What is fractal coarsening? It is shape relaxation of
fractal objects by surface tension or another "fractality spoiler". Enjoy a small animation, or a larger-scale movie of
the diffusion-controlled coarsening of a DLA cluster, as seen in
numerical simulations. Here is our pioneering work on this
subject. Now we are beginning to understand the reasons behind complexity of this and related systems,
see this paper.
embraced a broad variety of subjects in nonlinear and non-equilirium physics, plasma
theory, etc. Among them was the discovery in 1979
(together with E.A. Oks and P.V. Sasorov) of chaos in highly-excited
(Rydberg) atoms driven by an oscillating electric field.
When I was a student of physics,
two great physicists, Lev Landau and Richard Feynman, were my heroes. Here are
portraits of Lev Landau
and Richard Feynman, painted by Nataly Meerson.