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Scroll Waves and How They Interact w...

Weingard, Daniel.

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

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Scroll Waves and How They Interact with Non-Reactive Spheres, Tori, and Knots./
Author:	Weingard, Daniel.
Description:	1 online resource (64 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-11(E), Section: B.
Contained By:	Dissertation Abstracts International78-11B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
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. - 1 online resource (64 pages)

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

Thesis (Ph.D.)

Includes bibliographical references

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.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369863871Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Scroll Waves and How They Interact with Non-Reactive Spheres, Tori, and Knots.
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020 $a 9781369863871
035 $a (MiAaPQ)AAI10261425
035 $a (MiAaPQ)fsu:13790
035 $a AAI10261425
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Weingard, Daniel. $3 1180634
245 1 0 $a Scroll Waves and How They Interact with Non-Reactive Spheres, Tori, and Knots.
264 0 $c 2017
300 $a 1 online resource (64 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-11(E), Section: B.
500 $a Adviser: Richard Bertram.
502 $a Thesis (Ph.D.) $c The Florida State University $d 2017.
504 $a Includes bibliographical references
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.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
650 4 $a Biophysics. $3 581576
650 4 $a Physical chemistry. $3 1148725
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
690 $a 0786
690 $a 0494
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a The Florida State University. $b Mathematics. $3 1180541
773 0 $t Dissertation Abstracts International $g 78-11B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10261425 $z click for full text (PQDT)

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