86 citations · 726 across the 59 of their papers we have counts for
18 papers · 1 filter
Convective stability of turbulent Boussinesq flow in the dissipative range and flow around small particles
Itzhak Fouxon, Alexander Leshansky
We consider arbitrary, possibly turbulent, Boussinesq flow which is smooth below a dissipative scale . It is demonstrated that the stability of the flow with respect to growth…
Localization-delocalization transitions in turbophoresis of inertial particles
S. Belan, I. Fouxon, G. Falkovich
Small aerosols drift down temperature or turbulence gradient since faster particles fly longer distances before equilibration. That fundamental phenomenon, called thermophoresis or…
Inhomogeneous quasi-stationary state of dense fluid of inelastic hard spheres
Itzhak Fouxon
We study closed dense collections of hard spheres that collide inelastically with constant coefficient of normal restitution. We find inhomogeneous states (IS) where the density pr…
Effect of distinguishability of patterns of collisions of particles in a non-equilibrium chaotic system
Alexander Jonathan Vidgop, Itzhak Fouxon
We follow the time sequence of binary elastic collisions in a small collection of hard-core particles. Intervals between the collisions are characterized by the numbers of collisio…
The impact of hydrodynamic interactions on the preferential concentration of inertial particles in turbulence
Itzhak Fouxon
We consider a dilute gas of inertial particles transported by the turbulent flow. Due to inertia the particles concentrate preferentially outside vortices. The pair-correlation fun…
Distribution of Brownian particles in turbulence
Itzhak Fouxon, Eugene Mednikov
We consider Brownian particles immersed in the fluid which flow is turbulent. We study the limit where the particles' inertia is weak and their velocity relaxes fast to the velocit…
Distribution of particles and bubbles in turbulence at small Stokes number
Itzhak Fouxon
The inertia of particles driven by the turbulent flow of the surrounding fluid makes them prefer certain regions of the flow. The heavy particles lag behind the flow and tend to ac…
Construction and description of the stationary measure of weakly dissipative dynamical systems
Itzhak Fouxon
We consider the stationary measure of the dissipative dynamical system in a finite volume. A finite dissipation, however small, generally makes the measure singular, while at zero…
Dynamics of threads and polymers in turbulence: power-law distributions and synchronization
Itzhak Fouxon, Harald A. Posch
We study the behavior of threads and polymers in a turbulent flow. These objects have finite spatial extension, so the flow along them differs slightly. The corresponding drag forc…
Evolution of collision numbers for a chaotic gas dynamics
Alexander Jonathan Vidgop, Itzhak Fouxon
We put forward a conjecture of recurrence for a gas of hard spheres that collide elastically in a finite volume. The dynamics consists of a sequence of instantaneous binary collisi…
Universality of attractors at weak dissipation and particles distribution in turbulence
Itzhak Fouxon
We study stationary solutions to the continuity equation for weakly compressible flows. These describe non-equilibrium steady states of weakly dissipative dynamical systems. Compre…
Evolution to a singular measure and two sums of Lyapunov exponents
Itzhak Fouxon
We consider dissipative dynamical systems represented by a smooth compressible flow in a finite domain. The density evolves according to the continuity (Liouville) equation. For a…
Turbulence - "motion of multitude": a multi-agent spin model for complex flows
Alexander Jonathan Vidgop, Itzhak Fouxon
We propose a new paradigm for emergence of macroscopic flows. The latter are considered as a collective phenomenon created by many agents that exchange abstract information. The in…
New relations for correlation functions in Navier-Stokes turbulence
Gregory Falkovich, Itzhak Fouxon, Yaron Oz
We consider the steady-state statistics of turbulence sustained by a large-scale force. The Kolmogorov flux relation (4/5-law) is shown to be a particular case of the general relat…
Fluctuation relation and pairing rule for Lyapunov exponents of inertial particles in turbulence
Itzhak Fouxon, Péter Horvai
We study the motion of small particles in a random turbulent flow assuming linear law of friction. We derive a symmetry relation obeyed by the large deviations of the finite time L…
Single and two-particle motion of heavy particles in turbulence
I. Fouxon, P. Horvai
We study motion of small particles in turbulence when the particle relaxation time falls in the range of inertial time-scales of the flow. Due to inertia, particles drift relative…
Weak compressibility of surface wave turbulence
M. Vucelja, I. Fouxon
We study the growth of small-scale inhomogeneities of the density of particles floating in weakly nonlinear, small-amplitude, surface waves. Despite the amplitude smallness, the ac…
Clustering of matter in waves and currents
M. Vucelja, G. Falkovich, I. Fouxon
The growth rate of small-scale density inhomogeneities (the entropy production rate) is given by the sum of the Lyapunov exponents in a random flow. We derive an analytic formula f…