Journal
PHYSICAL REVIEW E
Volume 94, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.94.042421
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This two-dimensional study is motivated by cardiac electrophysiology, and focuses on rotating spiral waves in reaction-diffusion (RD) models. Here we deal with a spiral's translational drift under a constant externally imposed gradient G. A long-standing problem may be stated as follows: Given the dimensionless drift velocity V/G, find its nontrivial direction angle Gamma relative to G. A deductive algebraic treatment yields a solution, cos Gamma = -V/G. Three features are worth noting: the combination of algebraic and RD contexts; a somewhat extensive derivation contrasting with a compact result; and the generality due to the absence of reaction details in the formula. Agreement with a computational database is good to fair, if spirals of very low density are excluded.
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