A geometrical model for spirals: A possible paradigm for belousov-zhabotinskii

D. A. Kessler; H. Levine

doi:10.1209/0295-5075/12/5/015

A geometrical model for spirals: A possible paradigm for belousov-zhabotinskii

D. A. Kessler, H. Levine

University of Michigan, Ann Arbor

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We formulate and investigate a local, geometrical model for steady-state spiral motion in order to better understand the spiral pattern observed in Belousov-Zhabotinskii (BZ) reactions. In particular, we demonstrate that the surface tension (i.e. curvature dependent) term is responsible for velocity selection in the toy model. In this model, the selected velocity for small surface tension is the unique velocity for which the zero surface tension term is nonsingular. We conclude with speculations on the implications of our results for BZ spirals.

Original language	English
Pages (from-to)	465-470
Number of pages	6
Journal	EPL
Volume	12
Issue number	5
DOIs	https://doi.org/10.1209/0295-5075/12/5/015
State	Published - 1 Jul 1990
Externally published	Yes

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abstract = "We formulate and investigate a local, geometrical model for steady-state spiral motion in order to better understand the spiral pattern observed in Belousov-Zhabotinskii (BZ) reactions. In particular, we demonstrate that the surface tension (i.e. curvature dependent) term is responsible for velocity selection in the toy model. In this model, the selected velocity for small surface tension is the unique velocity for which the zero surface tension term is nonsingular. We conclude with speculations on the implications of our results for BZ spirals.",

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N2 - We formulate and investigate a local, geometrical model for steady-state spiral motion in order to better understand the spiral pattern observed in Belousov-Zhabotinskii (BZ) reactions. In particular, we demonstrate that the surface tension (i.e. curvature dependent) term is responsible for velocity selection in the toy model. In this model, the selected velocity for small surface tension is the unique velocity for which the zero surface tension term is nonsingular. We conclude with speculations on the implications of our results for BZ spirals.

AB - We formulate and investigate a local, geometrical model for steady-state spiral motion in order to better understand the spiral pattern observed in Belousov-Zhabotinskii (BZ) reactions. In particular, we demonstrate that the surface tension (i.e. curvature dependent) term is responsible for velocity selection in the toy model. In this model, the selected velocity for small surface tension is the unique velocity for which the zero surface tension term is nonsingular. We conclude with speculations on the implications of our results for BZ spirals.

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A geometrical model for spirals: A possible paradigm for belousov-zhabotinskii

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