Spatial confinement causes lifetime enhancement and expansion of vortex rings with positive filament tension

Spatial confinement causes lifetime enhancement and expansion of vortex rings with positive filament tension

We study the impact of spatial confinement on the dynamics of three-dimensional (3D) excitation vortices with circular filaments. In a chemically active medium we observe a decreased contraction rate of such scroll rings and even expanding ones, despite their positive filament tension. All experimen...

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Published in:New journal of physics Vol. 17; no. 9; pp. 93043 - 93051
Main Authors: Totz, Jan Frederik, Engel, Harald, Steinbock, Oliver
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 24-09-2015
Subjects:
05.45.a
Boundaries
Computer simulation
Confinement
Dynamic tests
Evolution
Filaments
Fluid flow
Mathematical models
Numerical integration
Organic chemistry
pattern formation
Physics
Reaction-diffusion equations
reaction-diffusion system
scroll ring
spatial confinement
spiral wave
Three dimensional
Vortex rings
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Abstract We study the impact of spatial confinement on the dynamics of three-dimensional (3D) excitation vortices with circular filaments. In a chemically active medium we observe a decreased contraction rate of such scroll rings and even expanding ones, despite their positive filament tension. All experimentally observed regimes of spatially confined scroll ring evolution are reproduced by full 3D numerical integration of the underlying reaction-diffusion equations. Additionally, we propose a kinematical model that takes into account the interaction of the scroll ring with a no-flux boundary. Its predictions agree quantitatively with data obtained from simulations of the reaction-diffusion model.
AbstractList We study the impact of spatial confinement on the dynamics of three-dimensional (3D) excitation vortices with circular filaments. In a chemically active medium we observe a decreased contraction rate of such scroll rings and even expanding ones, despite their positive filament tension. All experimentally observed regimes of spatially confined scroll ring evolution are reproduced by full 3D numerical integration of the underlying reaction–diffusion equations. Additionally, we propose a kinematical model that takes into account the interaction of the scroll ring with a no-flux boundary. Its predictions agree quantitatively with data obtained from simulations of the reaction–diffusion model.
Author Steinbock, Oliver
Totz, Jan Frederik
Engel, Harald
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  givenname: Oliver
  surname: Steinbock
  fullname: Steinbock, Oliver
  organization: Florida State University Department of Chemistry and Biochemistry, Tallahassee, Florida 32306-4390, USA
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Snippet We study the impact of spatial confinement on the dynamics of three-dimensional (3D) excitation vortices with circular filaments. In a chemically active medium...
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SubjectTerms 05.45.a
Boundaries
Computer simulation
Confinement
Dynamic tests
Evolution
Filaments
Fluid flow
Mathematical models
Numerical integration
Organic chemistry
pattern formation
Physics
Reaction-diffusion equations
reaction-diffusion system
scroll ring
spatial confinement
spiral wave
Three dimensional
Vortex rings
Title Spatial confinement causes lifetime enhancement and expansion of vortex rings with positive filament tension
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