Title page for ETD etd-081099-142433

Type of Document

Dissertation

Author

Moss, George W.

Author's Email Address

mossgeo@math.vt.edu

URN

etd-081099-142433

Title

Mathematical Models of the Alpha-Beta Phase Transition of Quartz

Degree

PhD

Department

Mathematics

Advisory Committee

Advisor Name	Title
Rogers, Robert C.	Committee Chair
Boisen, Monte B. Jr.	Committee Member
Lin, Tao	Committee Member
Renardy, Michael J.	Committee Member
Sun, Shu-Ming	Committee Member

Keywords

phase transition
quartz
incommensurate
bifurcation

Date of Defense

1999-07-27

Availability

unrestricted

Abstract

We examine discrete models with hexagonal symmetry
to compare the sequence of transitions with the
alpha-inc-beta phase transition of quartz. We
examine a model by Parlinski which employs
interactions of nearest and next-nearest neighbor
atoms. We numerically determine the configurations
which lead to minimum energy for a range of
parameters. We then use Golubitsky's results on
systems with hexagonal symmetry to derive the
bifurcation diagram for Parlinski's model. Finally,
we study a large class of modifications to
Parlinski's model and show that all such
modifications have the same bifurcation picture
as the original model.

Files

Filename		Size	Approximate Download Time (Hours:Minutes:Seconds)
Filename		Size	28.8 Modem	56K Modem	ISDN (64 Kb)	ISDN (128 Kb)	Higher-speed Access
	etd.pdf	572.06 Kb	00:02:38	00:01:21	00:01:11	00:00:35	00:00:03