32 citations · 90 across the 12 of their papers we have counts for
13 papers
Voronoi Entropy and long-range order of 2D point sets
Edward Bormashenko, Shraga Shoval, Mark Frenkel +1
The Voronoi Entropy (VE) and the continuous measure of symmetry (CSM) characterize the orderliness of a set of points on a 2D plane. The Voronoi entropy is the Shannon entropy of t…
Continuous Measure of Symmetry as a Dynamic Variable: a New Glance on the Three-Body Problem
Mark Frenkel, Shraga Shoval, Edward Bormashenko
The time evolution of the continuous measure symmetry for the system built of the three bodies interacting via the potential U(r)~1/r is reported. Gravitational and electrostatic i…
Ramsey Theory and Geometry of Closed Loops
Nir Shvalb, Mark Frenkel, Shraga Shoval +1
We apply the Ramsey theory to the analysis of geometrical properties of closed contours. Consider a set of six points placed on a closed contour. The straight lines connecting thes…
Investigation of the Impact of Cold Plasma Treatment on the Wettability of Medical Grade Polyvinylchloride
Edward Bormashenko, Irina Legchenkova, Shiri Navon-Venezia +2
The impact of the Corona, dielectric barrier discharge and low pressure radiofrequency air plasmas on the wettability of the medical grade polyvinylchloride was investigated. Coron…
Voronoi Diagrams Generated by the Archimedes Spiral
Mark Frenkel, Irina Legchenkova, Edward Bormashenko
Voronoi mosaics inspired by the seed points placed on the Archimedes Spirals are reported. Voronoi entropy was calculated for these patterns. Equidistant and non-equidistant patter…
Spiral Thermal Waves Generated by Self-Propelled Camphor Boats
Alla Vilk, Irina Legchenkova, Mark Frenkel +1
Spiral thermal surface waves arising from self-propulsion of the camphor-driven objects are reported. Spiral thermal waves were registered for the dissolution and evaporation-guide…
Magnetic Field Inspired Contact Angle Hysteresis Drives Floating Polyolefin Rafts
Mark Frenkel, Victor Danchuk, Victor Multanen +1
Displacement of floating polymer (polyolefin) rafts by steady magnetic field is reported. The effect is due to the interplay of gravity deforming the water/vapor interface, contact…
Friction, Free Axes of Rotation and Entropy
Alexander Kazachkov, Victor Multanen, Viktor Danchuk +2
Friction forces acting on rotators may promote their alignment and therefore eliminate degrees of freedom in their movement. The alignment of rotators by friction force was demonst…
Paradoxical Coffee-Stain Effect Driven by the Marangoni Flow Observed on Oil-Infused Surfaces
Gilad Chaniel, Mark Frenkel, Victor Multanen +1
Formation of coffee stain deposits under evaporation of droplets containing aqueous solution of salts placed on silicone-oil impregnated substrates was observed. The formation of r…
Camphor-Engine-Driven Micro-Boat Guides Evolution of Chemical Gardens
Mark Frenkel, Victor Multanen, Roman Grynyov +3
A micro-boat self-propelled by a camphor engine, carrying seed crystals of FeCl3, promoted the evolution of chemical gardens when placed on the surface of aqueous solutions of pota…
Self-Propulsion of a Metallic Superoleophobic Micro-Boat
Albina Musin, Roman Grynyov, Mark Frenkel +1
The self-propulsion of a heavy, superoleophobic, metallic micro-boat carrying a droplet of various aqueous alcohol solutions as a fuel tank is reported. The micro boat is driven by…
Self-Propelling Rotator Driven by Soluto-Capillary Marangoni Flows
Mark Frenkel, Gene Whyman, Evgeny Shulzinger +2
The self-propelled, longstanding rotation of the polymer tubing containing camphor continuing for dozens of hours is reported. The rotator is driven by the solutocapillary Marangon…
Under-liquid Self-Assembly of Submerged Buoyant Polymer Particles
Victor Multanen, Roman Pogreb, Yelena Bormashenko +4
The self-assembly of submerged cold-plasma-treated polyethylene beads is reported. The plasma-treated immersed millimetrically-sized polyethylene beads formed well-ordered 2D quasi…