Interacting Vortices in a Disk

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This demonstrates trajectories of three interacting vortices confined within a circle. Vortices are an interesting mechanical system. As opposed to masses or solid bodies, their evolution is described by first-order differential equations in time. Using mirror vortices, it is possible to restrict the motion of the vortices within a disk. G.-C. Yuan, K. Nam., T. M. Antonsen, E. Ott, P. N. Guzdar. Chaos 10, 39 (2000).
Contributed by: Michael Trott (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
maximal time — maximal evolution time
initial position vortex — the initial position of the
th vortex
strength vortex
— the interaction strength of the
th vortex
Permanent Citation
"Interacting Vortices in a Disk"
http://demonstrations.wolfram.com/InteractingVorticesInADisk/
Wolfram Demonstrations Project
Published: March 7 2011