Large fluctuations in non-equilibrium stochastic systems
Clustering, pattern formation and phase separation in granular flows
Phase transition kinetics
Self-similarity and dynamic scaling in physics
Fluid dynamics and plasma theory
Nonlinear oscillations and waves, chaos
Here are our recent papers
on large deviations of the surface height in the Kardar-Parisi-Zhang equation.
Suppose that a gas of interacting diffusing particles is trapped inside a cavity with a small hole. What is the average exit time of the first particle from the cavity? Look
Why so many sperm cells? This question motivated this
How long will it take for an isolated population (of molecules, bacteria, animals or even people) to go extinct? Here are
some of our papers -
, a non-technical review - 6
, and a more comprehensive review - 7
on this kind of problems.
Is there anything in common between a bunch of marbles and an expanding universe? Take a look at
one of our papers on clustering in a freely cooling granular gas.
One fascinating granular phenomenon that we 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. Why do not this and other related systems show simple dynamic scaling behaviors?
See this paper.
embraced a broad variety of subjects in nonlinear, non-equilirium and statistical physics. 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. This was one of the pioneering papers defining the field of quantum chaos.
Here is our 1979 paper.
When I was a student,
two great physicists, Lev Landau and Richard Feynman, were my heroes. Here are
portraits of Lev Landau
and Richard Feynman, painted by Nataly Meerson. Here are some other
paintings of Nataly. Nataly also painted my portrait
that is displayed on this webpage.