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Generalized Phase Field Models with Microscopic Potentials

Esenturk, Emre (2011) Generalized Phase Field Models with Microscopic Potentials. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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Abstract

In this thesis we study the solidification process of systems with intrinsicanisotropy. We aim at finding a bridge between the microscopic mechanismsand macroscopic description. This is achieved by generalizing the currentphase field models in a way to incorporate microscopic physics and usingasymptotic techniques to obtain macroscopic results. Upon analysis,expressions for physically relevant quantities are obtained. Also it isfound that classical interface relations for both stationary and movinginterfaces hold. These conditions are presented in various representations.Exemplary numerical calculations are carried out to illustrate the potentialof the method as an additional tool in the study of interfaces. Furthermore,a concrete physical system with realistic parameters is considered to showhow one can use the ideas developed here in order to get results that are ofinterest to other scientific communities, e.g. materials scientists andphysicists.

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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Esenturk, Emreeme11@pitt.eduEME11
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairCaginalp, Gunduzcaginalp@pitt.eduCAGINALP
Committee MemberRollett, Anthonyrollett@andrew.cmu.edu
Committee MemberLennard, Chrislennard@pitt.eduLENNARD
Committee MemberChen, Xinfuxinfu@pitt.eduXINFU
Date: 25 September 2011
Date Type: Completion
Defense Date: 14 April 2011
Approval Date: 25 September 2011
Submission Date: 17 February 2011
Access Restriction: 5 year -- Restrict access to University of Pittsburgh for a period of 5 years.
Institution: University of Pittsburgh
Schools and Programs: Dietrich School of Arts and Sciences > Mathematics
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: interfaces; phase field model
Other ID: http://etd.library.pitt.edu/ETD/available/etd-02172011-165020/, etd-02172011-165020
Date Deposited: 10 Nov 2011 19:31
Last Modified: 15 Nov 2016 13:36
URI: http://d-scholarship.pitt.edu/id/eprint/6366

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