Vortex interaction on curved surfaces. 2012

Seung Ki Baek
School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea. seungki@kias.re.kr

The vortex-excitation energy on a sphere can be obtained by using the stereographic projection. By applying this method, we calculate the energy needed to create a vortex on a surface with a constant negative curvature. It is found that the energy is a linear function of the radius of the vortex. In accordance with this result, the interaction energy between a pair of vortices is also found to change linearly with the vortex separation distance. Explicit vortex configurations are obtained numerically with this interaction.

UI MeSH Term Description Entries
D008962 Models, Theoretical Theoretical representations that simulate the behavior or activity of systems, processes, or phenomena. They include the use of mathematical equations, computers, and other electronic equipment. Experimental Model,Experimental Models,Mathematical Model,Model, Experimental,Models (Theoretical),Models, Experimental,Models, Theoretic,Theoretical Study,Mathematical Models,Model (Theoretical),Model, Mathematical,Model, Theoretical,Models, Mathematical,Studies, Theoretical,Study, Theoretical,Theoretical Model,Theoretical Models,Theoretical Studies
D003198 Computer Simulation Computer-based representation of physical systems and phenomena such as chemical processes. Computational Modeling,Computational Modelling,Computer Models,In silico Modeling,In silico Models,In silico Simulation,Models, Computer,Computerized Models,Computer Model,Computer Simulations,Computerized Model,In silico Model,Model, Computer,Model, Computerized,Model, In silico,Modeling, Computational,Modeling, In silico,Modelling, Computational,Simulation, Computer,Simulation, In silico,Simulations, Computer
D012212 Rheology The study of the deformation and flow of matter, usually liquids or fluids, and of the plastic flow of solids. The concept covers consistency, dilatancy, liquefaction, resistance to flow, shearing, thixotrophy, and VISCOSITY. Flowmetry,Velocimetry,Velocimetries

Related Publications

Seung Ki Baek
June 2014, Optics letters,
Seung Ki Baek
August 2006, Proceedings of the National Academy of Sciences of the United States of America,
Seung Ki Baek
February 2014, Physical review. E, Statistical, nonlinear, and soft matter physics,
Seung Ki Baek
May 2018, Physical review. E,
Seung Ki Baek
July 2013, Physical review. E, Statistical, nonlinear, and soft matter physics,
Seung Ki Baek
July 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics,
Seung Ki Baek
December 2017, Physical review. E,
Seung Ki Baek
April 2016, Physical review letters,
Seung Ki Baek
June 2020, Optics express,
Seung Ki Baek
November 2013, Langmuir : the ACS journal of surfaces and colloids,
Copied contents to your clipboard!