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Clustering of point vortices in a periodic box
Author(s) -
Umeki Makoto
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700107
Subject(s) - cluster analysis , vortex , field (mathematics) , periodic boundary conditions , square (algebra) , boundary value problem , point (geometry) , statistical physics , physics , mathematics , mathematical analysis , mechanics , geometry , statistics , pure mathematics
Motions of N point vortices with square periodic boundary conditions are studied numerically, where N is order of 100. The clustering property is examined by computing the L function familiar in the field of spatial ecology. The case of a positive value of L corresponds to the state of clustering and the Onsager's negative temperature. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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