39 citations · 228 across the 33 of their papers we have counts for
41 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…
Effects of Asymmetric Cooling and Surface Wettability on the Orientation of the Freezing Tip
Anton Starostin, Vladimir Strelnikov, Leonid A. Dombrovsky +3
Freezing of water droplets placed on the bare and superhydrophobic surfaces of polymer wedges are studied both experimentally and computationally. Two-dimensional numerical calcula…
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…
A hierarchical levitating cluster containing transforming small aggregates of water droplets
Alexander A. Fedorets, Leonid A. Dombrovsky, Edward Bormashenko +1
A new type of a levitating droplet clusters composed of often transforming small aggregates of water droplets is described for the first time. Unlike earlier observed droplet clust…
Thermophoretic Levitation of Solid Particles at Atmospheric Pressure
Pritam Kumar Roy, Irina Legchenkova, Leonid A. Dombrovsky +7
Separation and transportation of small particles are important processes in various applications such as the food and pharmaceutical industries. Although mechanical, chemical or el…