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Scroll Waves and How They Interact w...

Weingard, Daniel.

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Scroll Waves and How They Interact with Non-Reactive Spheres, Tori, and Knots.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Scroll Waves and How They Interact with Non-Reactive Spheres, Tori, and Knots./
Author:	Weingard, Daniel.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
Description:	64 p.
Notes:	Source: Dissertation Abstracts International, Volume: 78-11(E), Section: B.
Contained By:	Dissertation Abstracts International78-11B(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10261425
ISBN:	9781369863871

Scroll Waves and How They Interact with Non-Reactive Spheres, Tori, and Knots.
Weingard, Daniel.

Scroll Waves and How They Interact with Non-Reactive Spheres, Tori, and Knots. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 64 p.

Source: Dissertation Abstracts International, Volume: 78-11(E), Section: B.

Thesis (Ph.D.)--The Florida State University, 2017.

Three-dimensional reaction-diffusion systems are able to produce scroll waves which rotate around a curve called the filament. A scroll ring is formed when the filament is a closed curve. In isotropic systems where reactants have equal diffusion coefficients, scroll rings will shrink over time and eventually collapse. Chemical experiments and numerical studies have shown that filaments can pin to certain nonreactive objects and prevent scroll ring collapse. With numerical simulation, we study how new types of objects affect scroll ring behavior. In particular, we explore the properties of random sphere arrangements that prevent scroll ring collapse. In addition, we discover a novel mechanism that causes scroll rings to expand when pinning to a nonreactive trefoil knot.

ISBN: 9781369863871Subjects--Topical Terms:

515831
Mathematics.

Scroll Waves and How They Interact with Non-Reactive Spheres, Tori, and Knots.
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245 1 0 $a Scroll Waves and How They Interact with Non-Reactive Spheres, Tori, and Knots.
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500 $a Source: Dissertation Abstracts International, Volume: 78-11(E), Section: B.
500 $a Adviser: Richard Bertram.
502 $a Thesis (Ph.D.)--The Florida State University, 2017.
520 $a Three-dimensional reaction-diffusion systems are able to produce scroll waves which rotate around a curve called the filament. A scroll ring is formed when the filament is a closed curve. In isotropic systems where reactants have equal diffusion coefficients, scroll rings will shrink over time and eventually collapse. Chemical experiments and numerical studies have shown that filaments can pin to certain nonreactive objects and prevent scroll ring collapse. With numerical simulation, we study how new types of objects affect scroll ring behavior. In particular, we explore the properties of random sphere arrangements that prevent scroll ring collapse. In addition, we discover a novel mechanism that causes scroll rings to expand when pinning to a nonreactive trefoil knot.
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