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- Amy Novick-Cohen, Olga Zelekman-Smirin, Arkady Vilenkin
- 2009

Using numerical computations and asymptotic analysis, we study the effects of grain grooves on grain boundary migration in nanofilms, focusing for simplicity on axisymmetric bicrystals containing an… (More)

- Baruch Meerson, Eytan Katzav, Arkady Vilenkin
- Physical review letters
- 2016

Using the weak-noise theory, we evaluate the probability distribution P(H,t) of large deviations of height H of the evolving surface height h(x,t) in the Kardar-Parisi-Zhang equation in one dimension… (More)

- Baruch Meerson, Arkady Vilenkin
- Physical review. E
- 2016

This corrects the article DOI: 10.1103/PhysRevE.93.020102.

- Baruch Meerson, Arkady Vilenkin
- Physical review. E
- 2016

We investigate nonequilibrium fluctuations of a solid surface governed by the stochastic Mullins-Herring equation with conserved noise. This equation describes surface diffusion of adatoms… (More)

We consider an infinite interface in d > 2 dimensions, governed by the Kardar-Parisi-Zhang (KPZ) equation with a weak Gaussian noise which is delta-correlated in time and has short-range spatial… (More)

- Anna Zigelman, Amy Novick-Cohen, Arkady Vilenkin
- SIAM Journal of Applied Mathematics
- 2014

Polycrystalline materials are materials made up of a typically large number of crystals (“grains”), whose boundaries (“grain boundaries”) define an interior network which effectively determines the… (More)

- Baruch Meerson, Arkady Vilenkin, Pavel V. Sasorov
- Physical review. E, Statistical, nonlinear, and…
- 2013

The position of an invasion front, propagating into an unstable state, fluctuates because of the shot noise coming from the discreteness of reacting particles and stochastic character of the… (More)

- Baruch Meerson, Itzhak Fouxon, Arkady Vilenkin
- Physical review. E, Statistical, nonlinear, and…
- 2008

We employ hydrodynamic equations to investigate nonstationary channel flows of freely cooling dilute gases of hard and smooth spheres with nearly elastic particle collisions. This work focuses on the… (More)

We investigate the dynamics of relaxation, by surface tension, of a family of curved interfaces between an inviscid and viscous fluids in a Hele-Shaw cell. At t = 0 the interface is assumed to be of… (More)

- Baruch Meerson, Arkady Vilenkin, Pavel L Krapivsky
- Physical review. E, Statistical, nonlinear, and…
- 2014

Let a lattice gas of constant density, described by the symmetric simple exclusion process, be brought in contact with a "target": a spherical absorber of radius R. Employing the macroscopic… (More)