Reconnection of Quantized Vortices in Superfluid ^4He

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Three-dimensional dynamics of two interacting qttantized vortex filaments isstudied. The equations of motion and the rnethod of numerical calculation followSchwarz. The present paper describes when and how tw'o filaments ajcproach to recon-nect; the obtained results differ fro?n the assumption Schwarz used in the simulationof vortex tangle. Whetlter two approaching filaments reconnect or not depends ontheir arrangement before approach. When a ring moves toward a line from adistance, for example, there is a critical initial distance only withirn which they canreconnect. The critical distance is minimized when their circulations are parallel at theclosest place, while it increases as their circulations become to deviate from beingparallel. In such a symmetrical case as collision of two same rings, they can makesome extensive twists on themselves to reconnect. Our results are cc>mpared with thenumerical simulation by Schwarz.[superfluid, quantized vortex, reconnection, hydrodynamics, Biot-Savart, ]f superfluid turbulence, vortex tangleK
社団法人日本物理学会の論文
1992-06-15