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Search Publications by: Geoffrey B. McFadden (Assoc)

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Displaying 1 - 25 of 96

Effect of Vacancy Creation and Annihilation on Grain Boundary Motion

January 15, 2020
Geoffrey B. McFadden, William J. Boettinger, Yuri Mishin
The interaction of vacancies with grain boundaries (GBs) is involved in many processes occurring in materials, including radiation damage healing and diffusional creep. We analyze a model describing a set of processes occurring at a GB in the presence of a

Equilibrium and stability of axisymmetric drops on a conical substrate under gravity

October 4, 2015
Asha K. Nurse, Sean A. Colbert-Kelly, Sam R. Coriell, Geoffrey B. McFadden
Motivated by recent investigations of toroidal tissue clusters that are observed to climb conical obstacles after self-assembly, we study a related problem of the determination of the equilibrium and stability of axisymmetric drops on a conical substrate

Sharp interface model of creep deformation in crystalline solids

June 30, 2015
Yuri Mishin, Geoffrey B. McFadden, Robert F. Sekerka, William J. Boettinger
We present a rigorous irreversible thermodynamics treatment of creep deformation of solid mate- rials with interfaces described as geometric surfaces capable of vacancy generation and absorption and moving under the influence of local thermodynamic forces

On the Stability of Rotating Drops

April 20, 2015
Asha K. Nurse, Sam R. Coriell, Geoffrey B. McFadden
We consider the equilibrium and stability of rotating axisymmetric fluid drops by appealing to a variational principle that characterizes the equilibria as stationary states of a functional containing surface energy and rotational energy contributions

Morphological Stability

December 5, 2014
Robert F. Sekerka, Sam R. Coriell, Geoffrey B. McFadden
The theory of morphological stability provides a dynamical analysis of the stability of the interface that separates phases during a phase transformation. We focus on crystallization from either a pure or alloy melt. One solves the governing equations for

A Cross-Benchmarking and Validation Initiative for Tokamak 3D Equilibrium Calculations

October 27, 2014
Geoffrey B. McFadden, Allan Reiman, Antoine Cerfon, E. Lazarus, S. Lazerson
We are pursuing a cross-benchmarking and validation initiative for tokamak 3D equilibrium calculations, with 11 codes participating: the linearized tokamak equilibrium codes IPEC and MARS-F,the time-dependent extended MHD codes M3D-C1, M3D, and NIMROD, the

Bubble motion and size variation during thermal migration with phase change

January 1, 2013
Asha K. Nurse, Geoffrey B. McFadden, Sam R. Coriell
An analysis of the motion of a spherical bubble in a two-phase, single component system with a vertical linear temperature gradient is presented. The model for the migration of an immiscible bubble under the effects of buoyancy and thermocapillarity

A diffuse-interface Model of Reactive Wetting with Intermetallic Formation

May 1, 2012
Walter Villaneuva, William J. Boettinger, Geoffrey B. McFadden, James A. Warren
A diffuse-interface model of reactive wetting with intermetallic formation is developed that incorporates fluid flow, phase change, and solute diffusion. The model is based on the total molar Gibbs energy of a ternary system with four phases. Numerical

Thin Film Dynamics on a Prolate Ellipsoid with Application to the Cornea

June 9, 2011
Richard J. Braun, R. Usha, Geoffrey B. McFadden, T. A. Driscoll, L. P. Cook, P. E. King-Smith
We study the flow of a thin fluid film on a prolate ellipsoid that is a good approximation to the shape of the human cornea. Two lubrication models for the dynamics of the film are studied in prolate spheroidal coordinates which are appropriate for this

Onset of Morphological Instability in Two Binary Liquid Layers

April 1, 2011
Geoffrey B. McFadden, Sam R. Coriell, Aaron Lott
We consider the linear stability of a horizontal fluid bilayer subject to vertical heating. The two layers consist of a binary fluid that has undergone a phase transition, resulting in a horizontal interphase boundary between two phases with different

Remembering Paul Garabedian

June 15, 2010
Geoffrey B. McFadden
Paul R. Garabedian, a leader in the field of computational science, passed away on May 13th, 2010, at his home in Manhattan at the age of 82 after a long battle with cancer. During the course of sixty years of research on the faculties at Stanford and New

A Multicomponent and Multiphase Model of Reactive Wetting

June 4, 2010
Walter Villanueva, William J. Boettinger, Geoffrey B. McFadden, James A. Warren
A diffuse-interface model of reactive wetting with intermetallic formation is presented. The model incorporates fluid flow, solute diffusion, and phase change that are based on the total molar Gibbs energy of a ternary system with four phases. Numerical

Onset of Convection in Binary Liquid Layers

March 24, 2010
Geoffrey B. McFadden, Sam R. Coriell, Aaron Lott
We perform linear stability calculations for horizontal bilayers of a two-component fluid that can undergo a phase transformation, taking into account both buoyancy effects and thermocapillary effects in the presence of a vertical temperature gradient

The Solidification of an Ideal Ternary Alloy in a Mushy Layer

March 24, 2010
Daniel M. Anderson, Geoffrey B. McFadden, Sam R. Coriell, Bruce Murray
We consider a model for the solidification of an ideal ternary alloy in a mushy layer that incorporates the effects thermal and solutal diffusion, convection and solidification. Our results reveal that although the temperature and solute fields are

The DEMO Quasisymmetric Stellarator

February 26, 2010
Paul R. Garabedian, Geoffrey B. McFadden
The NSTAB code solves differential equations in conservation form, and the TRAN test particle code tracks guiding center orbits in a fixed background, to provide simulations of equilibrium, stability, and transport in tokamaks and stellarators. These codes

Predicted Functions of MdmX in Fine Tuning the Response of p53 to DNA Damage

February 5, 2010
Sohyoung Kim, Mirit I. Aladjem, Geoffrey B. McFadden, Kurt W. Kohn
Tumor suppressor protein p53 is negatively regulated by two structurally homologous proteins, Mdm2 and MdmX. In contrast to Mdm2, MdmX lacks ubiquitin ligase activity. Although the essential interactions of MdmX are known, it is not clear how they function