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Analytical Solutions and Optimizatio...

Kimmel, Gregory.

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Analytical Solutions and Optimization of the Time-Dependent Ginzburg-Landau Equation for Superconductors.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analytical Solutions and Optimization of the Time-Dependent Ginzburg-Landau Equation for Superconductors./
Author:	Kimmel, Gregory.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2016,
Description:	144 p.
Notes:	Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
Contained By:	Dissertation Abstracts International78-05B(E).
Subject:	Applied mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10247813
ISBN:	9781369448887

Analytical Solutions and Optimization of the Time-Dependent Ginzburg-Landau Equation for Superconductors.
Kimmel, Gregory.

Analytical Solutions and Optimization of the Time-Dependent Ginzburg-Landau Equation for Superconductors. - Ann Arbor : ProQuest Dissertations & Theses, 2016 - 144 p.

Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.

Thesis (Ph.D.)--Northwestern University, 2016.

The behavior of type-II superconductors is modeled using the time-dependent Ginzburg Landau equations (TDGLE). Pinning centers (inclusions) and geometries which maximize the critical current that can be passed through a superconductor are numerically obtained. Previous analytical results are summarized and new results are obtained for the critical current in one and two-dimensional systems with and without an inclusion. Tangentially, analytical results of the iterative method -- Weighted Jacobi are derived.

ISBN: 9781369448887Subjects--Topical Terms:

2122814
Applied mathematics.

Analytical Solutions and Optimization of the Time-Dependent Ginzburg-Landau Equation for Superconductors.
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100 1 $a Kimmel, Gregory. $3 3279509
245 1 0 $a Analytical Solutions and Optimization of the Time-Dependent Ginzburg-Landau Equation for Superconductors.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2016
300 $a 144 p.
500 $a Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
500 $a Adviser: Igor Aranson.
502 $a Thesis (Ph.D.)--Northwestern University, 2016.
520 $a The behavior of type-II superconductors is modeled using the time-dependent Ginzburg Landau equations (TDGLE). Pinning centers (inclusions) and geometries which maximize the critical current that can be passed through a superconductor are numerically obtained. Previous analytical results are summarized and new results are obtained for the critical current in one and two-dimensional systems with and without an inclusion. Tangentially, analytical results of the iterative method -- Weighted Jacobi are derived.
590 $a School code: 0163.
650 4 $a Applied mathematics. $3 2122814
650 4 $a Condensed matter physics. $3 3173567
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690 $a 0611
710 2 $a Northwestern University. $b Engineering Sciences and Applied Mathematics. $3 3279510
773 0 $t Dissertation Abstracts International $g 78-05B(E).
790 $a 0163
791 $a Ph.D.
792 $a 2016
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10247813