Yulia Sokolov | Tel Aviv University (original) (raw)

Yulia Sokolov

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Papers by Yulia Sokolov

Research paper thumbnail of Permeability of immobile rings of membrane inclusions to in-plane flow

The Journal of Chemical Physics

We study the flow of membranal fluid through a ring of immobile particles mimicking, for example,... more We study the flow of membranal fluid through a ring of immobile particles mimicking, for example, a fence around a membrane corral. We obtain a simple closed-form expression for the permeability coefficient of the ring as a function of the particles' line fraction. The analytical results agree with those of numerical calculations and are found to be robust against changes in particle number and corral shape. From the permeability results, we infer the collective diffusion coefficient of lipids through the ring and discuss possible implications for collective lipid transport in a crowded membrane.

Research paper thumbnail of Many-particle mobility and diffusion tensors for objects in viscous sheets

The Journal of Chemical Physics

We derive a mobility tensor for many cylindrical objects embedded in a viscous sheet. This tensor... more We derive a mobility tensor for many cylindrical objects embedded in a viscous sheet. This tensor guarantees a positive dissipation rate for any configuration of particles and forces, analogously to the Rotne-Prager-Yamakawa tensor for spherical particles in a three-dimensional viscous fluid. We test our result for a ring of radially driven particles, demonstrating the positive-definite property at all particle densities. The derived tensor can be utilized in Brownian Dynamics simulations with hydrodynamic interactions for such systems as proteins in biomembranes and inclusions in free-standing liquid films.

Research paper thumbnail of Hydrodynamic Pair Attractions between Driven Colloidal Particles

Physical Review Letters, 2011

Colloidal spheres driven through water along a circular path by an optical ring trap display unex... more Colloidal spheres driven through water along a circular path by an optical ring trap display unexpected dynamical correlations. We use Stokesian Dynamics simulations and a simple analytical model to demonstrate that the path's curvature breaks the symmetry of the two-body hydrodynamic interaction, resulting in particle pairing. The influence of this effective nonequilibrium attraction diminishes as either the temperature or the stiffness of the radial confinement increases. We find a well defined set of dynamically paired states whose stability relies on hydrodynamic coupling in curving trajectories.

Research paper thumbnail of Statistics and dynamics in an optical vortex

ABSTRACT When two identical particles are driven along a straight line by an identical force ther... more ABSTRACT When two identical particles are driven along a straight line by an identical force there are no attractions forces between them. Surprisingly, when the same two particles are driven along a ring of light, with identical force, they attract and form a pair. The pairing mechanism is a pure non-equilibrium phenomena and is a result of symmetry breaking due to the path's curvature. We use experiment, simulation and theory to demonstrate and explain this effect. We show that dynamic limit-cycles and structure emerge due to this pseudo-potential in many particle systems, and demonstrate how they depend on temperature and trapping stiffness.

Research paper thumbnail of Permeability of immobile rings of membrane inclusions to in-plane flow

The Journal of Chemical Physics

We study the flow of membranal fluid through a ring of immobile particles mimicking, for example,... more We study the flow of membranal fluid through a ring of immobile particles mimicking, for example, a fence around a membrane corral. We obtain a simple closed-form expression for the permeability coefficient of the ring as a function of the particles' line fraction. The analytical results agree with those of numerical calculations and are found to be robust against changes in particle number and corral shape. From the permeability results, we infer the collective diffusion coefficient of lipids through the ring and discuss possible implications for collective lipid transport in a crowded membrane.

Research paper thumbnail of Many-particle mobility and diffusion tensors for objects in viscous sheets

The Journal of Chemical Physics

We derive a mobility tensor for many cylindrical objects embedded in a viscous sheet. This tensor... more We derive a mobility tensor for many cylindrical objects embedded in a viscous sheet. This tensor guarantees a positive dissipation rate for any configuration of particles and forces, analogously to the Rotne-Prager-Yamakawa tensor for spherical particles in a three-dimensional viscous fluid. We test our result for a ring of radially driven particles, demonstrating the positive-definite property at all particle densities. The derived tensor can be utilized in Brownian Dynamics simulations with hydrodynamic interactions for such systems as proteins in biomembranes and inclusions in free-standing liquid films.

Research paper thumbnail of Hydrodynamic Pair Attractions between Driven Colloidal Particles

Physical Review Letters, 2011

Colloidal spheres driven through water along a circular path by an optical ring trap display unex... more Colloidal spheres driven through water along a circular path by an optical ring trap display unexpected dynamical correlations. We use Stokesian Dynamics simulations and a simple analytical model to demonstrate that the path's curvature breaks the symmetry of the two-body hydrodynamic interaction, resulting in particle pairing. The influence of this effective nonequilibrium attraction diminishes as either the temperature or the stiffness of the radial confinement increases. We find a well defined set of dynamically paired states whose stability relies on hydrodynamic coupling in curving trajectories.

Research paper thumbnail of Statistics and dynamics in an optical vortex

ABSTRACT When two identical particles are driven along a straight line by an identical force ther... more ABSTRACT When two identical particles are driven along a straight line by an identical force there are no attractions forces between them. Surprisingly, when the same two particles are driven along a ring of light, with identical force, they attract and form a pair. The pairing mechanism is a pure non-equilibrium phenomena and is a result of symmetry breaking due to the path's curvature. We use experiment, simulation and theory to demonstrate and explain this effect. We show that dynamic limit-cycles and structure emerge due to this pseudo-potential in many particle systems, and demonstrate how they depend on temperature and trapping stiffness.

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