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Drift of spiral waves on nonuniformly curved surfaces
Author(s) -
Davydov V.A.,
Zykov V.S.,
Yamaguchi T.
Publication year - 2000
Publication title -
macromolecular symposia
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 76
eISSN - 1521-3900
pISSN - 1022-1360
DOI - 10.1002/1521-3900(200010)160:1<99::aid-masy99>3.0.co;2-y
Subject(s) - paraboloid , curvature , perpendicular , physics , gaussian curvature , spiral (railway) , gaussian , climb , drift velocity , geometry , mechanics , optics , classical mechanics , surface (topology) , mathematical analysis , mathematics , quantum mechanics , thermodynamics , electron
The evolution of spiral waves on nonuniformly curved surfaces is theoretically investigated in the framework of kinematic approach. We predict the existence of the drift proportional to the gradient of Gaussian curvature of the surface. In the excitable media with equal diffusion coefficients of activator and inhibitor the direction of the drift is perpendicular to the gradient of Gaussian curvature. If the diffusion coefficients are different the component of the velocity drift parallel to the gradient of Gaussian curvature appears. In the particular case of the paraboloid of revolution the spiral wave will “climb up” onto the top of the paraboloid. This theoretical prediction is confirmed by computer simulations. The drift of spiral waves towards the top of parabolic surface was observed in experiments with BZ reaction. The experimental results are also presented.