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Wave-pinned filaments of scroll waves
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10.1063/1.2835602
/content/aip/journal/jcp/128/9/10.1063/1.2835602
http://aip.metastore.ingenta.com/content/aip/journal/jcp/128/9/10.1063/1.2835602
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Sequence of absorption images showing the motion of a nonrotating wave defect in a pseudo-two-dimensional reaction-diffusion system. The defect is pinned to the back of an upward moving, nearly planar wave. Initial reactant concentrations are listed in Sec. II. Time between frames: . Field of view: .

Image of FIG. 2.
FIG. 2.

Two absorption images of an unusual, three-dimensional wave pattern as viewed from two perpendicular directions. The time elapsed between the snapshots is negligible. Initial reactant concentrations are listed in Sec. II. Field of view: .

Image of FIG. 3.
FIG. 3.

Tomographic reconstruction of a wave-pinned scroll wave (different from the one shown in Fig. 2). Initial reactant concentrations can be found in Sec. II. Time elapsed between frames: .

Image of FIG. 4.
FIG. 4.

Results obtained by numerical simulation of Eqs. (1)–(3) for a two-dimensional system. (a) Image sequence of a wave front pinned to the wake of a planar pulse. (b) Spiral formation in response to the annihilation of the pinning wave. Dimensionless time elapsed between the frames is 5.0 in (a) and 7.5 and 48.7 in (b). The area shown in the individual frames measures .

Image of FIG. 5.
FIG. 5.

Results of numerical simulations illustrating two qualitatively different, dynamic defects. The defect in (a) translates at steady speed in the wake of planar pulse. The defect in (b) rotates around a small circle and organizes a rotating spiral wave. The contour plots show curves of constants and where (solid), (dotted), and (dashed).

Image of FIG. 6.
FIG. 6.

Numerical simulation of a scroll wave filament pinned to a planar wave. The gray scale data show the spatial distribution of the variable . The thick white curves are the filament. The squares underneath each box show the corresponding, two-dimensional projections of the filament. Time between subsequent frames: 7.5. Box size: .

Image of FIG. 7.
FIG. 7.

Results of simulations showing that the pinned scroll wave is twisted. (a) Phase of spiral rotation as a function of distance from the planar front. The dashed line compares the numerical results to their best-fit line. The positive slope indicates that the spiral turns in forward direction as increases. Rotation phases for correspond to the curved, lower part of the filament and are not analyzed. (b) Partial view of the data in Fig. 6(e) showing only the pattern within a cylindrical column (radius of 4.0) centered around the straight part of the filament.

Image of FIG. 8.
FIG. 8.

Numerical simulation of a scroll wave filament pinned to a planar wave and of the dynamics induced by annihilation of that wave. The gray scale data show the spatial distribution of the variable . The thick white curves are the filament. The squares underneath each box show the corresponding, two-dimensional projections of the filament. Time between frames (a) and (b) 6.25, (b) and (c) 1.25, (c) and (d) 13.75, (d) and (e) 27.5, and (e) and (f) 117.5. Box size: .

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/content/aip/journal/jcp/128/9/10.1063/1.2835602
2008-03-06
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Wave-pinned filaments of scroll waves
http://aip.metastore.ingenta.com/content/aip/journal/jcp/128/9/10.1063/1.2835602
10.1063/1.2835602
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