Publications

Recent Publications

Divecha, M.S., Derby, J.J. Mechanistic study of the accelerated crucible rotation technique applied to vertical Bridgman growth of cadmium zinc telluride. SPIE (2017). DOI:10.1117/12.2275491

Divecha, M.S., Derby, J.J. Analysis of the accelerated crucible rotation technique applied to the gradient freeze growth of cadmium zinc telluride. Journal of Crystal Growth, 468, 630–634 (2017). DOI:10.1016/j.jcrysgro.2016.09.068

Jeffrey H. Peterson and Jeffrey J. Derby. An axial temperature profile curvature criterion for the engineering of convex crystal growth interfaces in bridgman systems. Journal of Crystal Growth, 468:899 – 904, (2017).

Jeffrey H. Peterson, Michael Fiederle, and Jeffrey J. Derby. Analysis of the traveling heater method for the growth of cadmium telluride. Journal of Crystal Growth, 454:45 – 58, (2016).

Y. Tao, A. Yeckel, J.J. Derby, "Steady-state and dynamic models for particle engulfment during solidification" J. Computational Physics 315, 238-263 (2016). 

Z. Li, J.H. Peterson, J.J. Derby, "Analysis of the effects of a rotating magnetic field on the growth of cadmium zinc telluride by the traveling heater method under microgravity conditions" J. Crystal Growth (2016)

Y. Tao, A. Yeckel, J.J. Derby, "Analysis of particle engulfment during the growth of crystalline silicon" J Crystal Growth (2016).

J.H. Peterson, A. Yeckel, J.J. Derby, "A fundamental limitation on growth rates in the traveling heater method" J. Crystal Growth (2015). 

P. Daggolu, A. Yeckel, and J.J. Derby, "An analysis of segregation during horizontal ribbon growth of silicon" J. Crystal Growth 390, 80-87 (2014).

A. Yeckel, R.S. Feigelson, J.J. Derby, "Analysis of scintillator crystal production via the edge-defined film-fed growth method" SPIE Optical Engineering+ Applications (2013). 

P. Daggolu, A. Yeckel, C.E. Bleil, and J.J. Derby, "Stability limits for the horizontal ribbon growth of silicon crystals" J. Crystal Growth 363, 132-140 (2013).

A. Yeckel and J.J. Derby, "The prospects for traveling magnetic fields to affect interface shape in the vertical gradient freeze growth of cadmium zinc telluride" J. Crystal Growth 364, 133-144 (2013).

N. Zhang, H.G. Park, and J.J. Derby, "Simulation of heat transfer and convection during sapphire crystal growth in a modified heat exchanger method" J. Crystal Growth 367, 27-34 (2013).

J.J. Derby, N. Zhang, and A. Yeckel, "Modeling insights on the melt growth of cadmium zinc telluride" J. Crystal Growth 379, 28-33 (2013).

P. Daggolu, A. Yeckel, C.E. Bleil, and J.J. Derby, "Thermal-capillary analysis of the horizontal ribbon growth of silicon crystals" J. Crystal Growth 335, 129–139 (2012).

N. Zhang, A. Yeckel, and J.J. Derby, "Maintaining convex interface shapes during electrodynamic gradient freeze growth of cadmium zinc telluride using a dynamic, bell-curve furnace profile" J. Crystal Growth 335, 113–121 (2012).

A. Yeckel, P. Daoutidis, and J.J. Derby, "Stabilizing detached Bridgman melt crystal growth: Proportional- integral feedback control" J. Crystal Growth 356, 33-45 (2012).

A. Yeckel, P. Daoutidis, and J.J. Derby, "Stabilizing detached Bridgman melt crystal growth: Model- based nonlinear feedback control" J. Crystal Growth 361, 16-24 (2012).

G. Samanta, A. Yeckel, E.D. Bourret-Courchesne, and J.J. Derby, "Parametric sensitivity and temporal dynamics of sapphire crystal growth via the micro-pulling-down method" J. Crystal Growth 359, 99-106 (2012).

Older Publications

A. Yeckel and J.J. Derby, "Existence, stability, and nonlinear dynamics of detached Bridgman growth states under zero gravity" J. Crystal Growth 314, 310–323 (2011).

N. Zhang, A. Yeckel, A. Burger, Y. Cui, K.G. Lynn, and J.J. Derby, "Anomalous segregation during electrodynamic gradient freeze growth of cadmium zinc telluride" J. Crystal Growth 325, 10-19 (2011).

G. Samanta, A. Yeckel, P. Daggolu, H. Fang, E.D. Bourret-Courchesne, and J.J. Derby, "Analysis of limits for sapphire growth in a micro-pulling-down system" J. Crystal Growth 335, 148–159 (2011).

A. Yeckel, L. Lun, and J.J. Derby, "Multi-scale crystal growth computations via an approximate block Newton method"J. Crystal Growth 312, 1463–1467 (2010).

L. Lun, A. Yeckel, and J.J. Derby, "A Schur complement formulation for solving free-boundary, Stefan problems in solidification" J. Comp. Phys. 229, 7942–7955 (2010).

C. Stelian, A. Yeckel, and J.J. Derby, "Influence of thermal phenomena on crystal reattachment during dewetted Bridgman growth" J. Crystal Growth 311, 2572–2579 (2009).

D. Gasperino, M. Bliss, K. Jones, K. Lynn, and J.J. Derby, "On crucible effects during the growth of cadmium zinc telluride in an electrodynamic gradient freeze furnace" J. Crystal Growth 311, 2327– 2335 (2009).

C. Stelian, M.P. Volz, and J.J. Derby, "On favorable thermal fields for detached Bridgman growth" J. Crystal Growth311, 3337–3346 (2009).

H. Djohari, J.I. Mart ́ınez-Herrera, and J.J. Derby, "Transport mechanisms and densification dur- ing sintering: I. Viscous flow versus vacancy diffusion" Chem. Eng. Sci. 64, 3799–3809 (2009).

A. Yeckel, L. Lun, and J.J. Derby, "An approximate block Newton method for coupled iterations of nonlinear solvers: Theory and conjugate heat transfer applications" J. Comp. Phys. 228, 8566–8588 (2009).

H. Djohari and J.J. Derby, "Transport mechanisms and densification during sintering: II. Grain bound- aries" Chem. Eng. Sci. 64, 3810–3816 (2009).

D. Gasperino, L. Meng, D.J. Norris, and J.J. Derby, "The role of fluid flow and convective steering during the assembly of colloidal crystals" J. Crystal Growth 310, 131-139 (2008).

T. Stylianopoulos, A. Yeckel, J.J. Derby, X.-J. Luo, M.S. Shephard, E.A. Sander, and V.H. Barocas, "Permeability calculations in three-dimensional isotropic and oriented fiber networks" Phys. Fluids 20, 123601 (2008).

M. Sugiyama, D. Gasperino, J.J. Derby, and V.H. Barocas, "Protein–salt–water solution phase diagram determination by a combined experimental–computational scheme" Crystal Growth & Design 8, 4208-4214 (2008).

J.J. Derby, L. Lun, and A. Yeckel, "Strategies for the coupling of global and local crystal growth models" J. Crystal Growth 303, 114-123 (2007).

L. Lun, A. Yeckel, J.J. Derby, and P. Daoutidis, "Control of interface shape of cadmium zinc tel- luride grown via an electrodynamic gradient freeze furnace" Proceedings of the IEEE 2007 Mediterranean Conference on Control and Automation (MED 2007) no_input, 1-6 (2007).

Y.-I. Kwon, B. Dai, and J.J. Derby, "Assessing the dynamics of liquid-phase solution growth via step growth models: From BCF to FEM" Progress in Crystal Growth and Characterization of Materials 53, no_input (2007).

A. Yeckel, A. Pandy, and J.J. Derby, "Fixed-point convergence of modular, steady-state heat transfer models coupling multiple scales and phenomena for melt crystal growth" Int. J. Numer. Meth. Engng. 67, 1768-1789 (2006).

L. Lun, A. Yeckel, C. Szeles, M. Reed, P. Daoutidis, and J.J. Derby, "On the effects of furnace gradients on interface shape during the growth of cadmium zinc telluride in EDG furnaces" J. Crystal Growth 290, 35-43 (2006).

D. Gasperino, A. Yeckel, B.K. Olmstead, M.D. Ward, and J.J. Derby, "Mass transfer limitations at crystallizing interfaces in an atomic force microscopy fluid cell: A finite element analysis" Langmuir 15, 6578–6586 (2006).

J.J. Derby, Y.-I. Kwon, A. Pandy, P. Sonda, A. Yeckel, T. Jung, and G. Mu ̈ller, "Developing quan- titative, multi-scale models for microgravity crystal growth" Ann. N.Y. Acad. Sci. 1077, 124-145 (2006).

L. Lun, A. Yeckel, P. Daoutidis, and J.J. Derby, "Decreasing lateral segregation in cadmium zinc telluride via ampoule tilting during vertical Bridgman growth" J. Crystal Growth 291, 348-357 (2006).

P. Sonda, A. Yeckel, J.J. Derby and P. Daoutidis, "The Feedback Control of the Vertical Bridgman Crystal Growth Process by Crucible Rotation: Two Case Studies" Comp. Chem. Engng. 29, 887-896 (2005).

P. Sonda, A. Yeckel, P. Daoutidis, and J.J. Derby, "Hopf bifurcation and solution multiplicity in a model for destabilized Bridgman crystal growth" Chem. Eng. Sci. 60, 1323-1336 (2005).

B. Vartak, A. Yeckel, and J.J. Derby, "Time-dependent, three-dimensional flow and mass transport during solution growth of potassium titanyl phosphate" J. Crystal Growth 281, 391-406 (2005).

A. Pandy, A. Yeckel, M. Reed, C. Szeles, M. Hainke, G. Müller, and J.J. Derby, "Analysis of the growth of cadmium zinc telluride in an electrodynamic gradient freeze furnace via a self-consistent, multi-scale numerical model" J. Crystal Growth 276, 133-147 (2005).

B. Vartak, A. Yeckel, and J.J. Derby, "On the validity of boundary layer analysis for flow and mass transfer caused by rotation during the solution growth of large, single crystals" J. Crystal Growth 283, 479-489 (2005).

E. Ko, M. Alemany, J.J. Derby, and J.R. Chelikowsky, "Ab initio simulations of non-stoichiometric CdxTe1−x liquids" J. Chem. Phys 123, no_input (2005).

P. Sonda, A. Yeckel, P. Daoutidis, and J.J. Derby, "Development of model-based control for Bridgman crystal growth"J. Crystal Growth 266, 182-189 (2004).

A. Yeckel, G. Comp´ere, A. Pandy, and J.J. Derby, "Three-dimensional imperfections in a model vertical Bridgman growth system for cadmium zinc telluride" J. Crystal Growth 263, 629-644 (2004).

C.J. Gadgil, A. Yeckel, J.J. Derby, and W.-S. Hu, "A diffusion-reaction model for DNA microarray assays" J. Biotechnology 114, 3145 (2004).

A. Yeckel and J.J. Derby, "Feasibility study of cadmium zinc telluride growth using a submerged heater in a Bridgman system" J. Electronic Materials 33, 488-497 (2004).

A. Yeckel and J.J. Derby, "Dynamics of three-dimensional convection in microgravity crystal growth: g-jitter with steady magnetic fields" J. Crystal Growth 263, 40-52 (2004).

S. V. Bykova, V. D. Golyshev, M. A. Gonik, V. B. Tsvetovsky, V. I. Deshko, A. Ya. Karvatskii, A.V. Lenkin, S. Brandon, O. Weinstein, A. Virozub, J.J. Derby, A. Yeckel, P. Sonda, "Experimental and numerical analysis of coupled interfacial kinetics and heat transport during the Axial Heat flux close to the Phase interface (AHP) growth of BGO single crystals" J. Crystal Growth 266, 246-256 (2004).

P. Sonda, A. Yeckel, P. Daoutidis, and J.J. Derby, "Improved radial segregation via the destabilizing vertical Bridgman configuration" J. Crystal Growth 260, 263-276 (2003).

M. Jain, V.V. Godlevsky, J.J. Derby, and J.R. Chelikowsky, "First principles simulations of liquid ZnTe" Phys. Rev. B 65, 035212 (2002).

B. Vartak and J.J. Derby,, "On stable algorithms and accurate solutions for convection-dominated mass transfer in crystal growth modeling" J. Crystal Growth 230, 202-209 (2001).

H. Zhou and J.J. Derby, "An assessment of a parallel, finite element method for three-dimensional, moving-boundary flows driven by capillarity for simulation of viscous sintering" Intern. J. Numer. Meth. Fluids 36, 841-865 (2001).

R.W. Hooper, V.F. de Almeida, C.W. Macosko, and J.J. Derby, "Transient polymeric drop extension and retraction in uniaxial extensional flows" J. Non-Newtonian Fluid Mech. 98, 141-168 (2001).

Y.-I. Kwon and J.J. Derby,, "Modeling the coupled effects of interfacial and bulk phenomena during solution crystal growth" J. Crystal Growth 230, 328-335 (2001).

R.W. Hooper, M. Toose, C.W. Macosko, and J.J. Derby, "A comparison of boundary element and finite element methods for modeling axisymmetric polymeric drop deformation" Intern. J. Numer. Meth. Fluids 37, 837-864 (2001).

J.R. Chelikowsky, J.J. Derby, V.V. Godlevsky, M. Jain, and J.Y. Raty, "Ab Initio Simulations of Liquid Semiconductors using the Pseudopotential-Density Functional Method" J. Phys.: Condens. Matter 13, R817-R854 (2001).

R. Hooper, V. Cristini, S. Shakya, J. S. Lowengrub, J. J. Derby, and C. W. Macosko, "Modeling multiphase flows using a novel 3D adaptive remeshing algorithm" Adv. Fluid Mech. 29, 33-42 (2001).

A. Yeckel and J.J. Derby, "Buoyant and rotational flows in small-scale vertical Bridgman growth of cadmium zinc telluride using accelerated crucible rotation" J. Crystal Growth 233, 599-608 (2001).

B. Vartak, Y.-I. Kwon, A. Yeckel, and J.J. Derby,, "An analysis of flow and mass transfer during the solution growth of potassium titanyl phosphate" J. Crystal Growth 210, 704-718 (2000).

A. Yeckel and J.J. Derby, "Effect of accelerated crucible rotation on melt composition in high-pressure vertical Bridgman growth of cadmium zinc telluride" J. Crystal Growth 209, 734-750 (2000).

V.F. de Almeida, A.M. Chapman, and J.J. Derby, "On equilibration and sparse factorization of matrices arising in finite element solutions of partial differential equations" Numerical Methods for Partial Differential Equations 16, 11-29 (2000).

V.F. de Almeida and J.J. Derby, "Construction of solution curves for large two-dimensional computations of steady-state flows of incompressible fluids" SIAM J. Scientific Computing 22(1), 285-311 (2000).

.R.W. Hooper, C.W. Macosko, and J.J. Derby, "Assessing a flow-based finite element model for the sintering of viscoelastic particles" Chem. Eng. Sci. 55, 5733-5746 (2000).

M. Kestigian, A.B. Bollong, J.J. Derby, H.L. Glass, K. Harris, H.L. Hettich, P.K. Liao, P. Mitra, P.W. Norton, and H. Wadley, "Cadmium zinc telluride substrate growth, characterization, and evaluation" J. Electronic Materials 28(6), 726-731 (1999).

V.V. Godlevsky, M. Jain, J.J. Derby, and J.R. Chelikowsky, "First principles calculations of liquid CdTe at temperatures above and below the melting point" Phys. Rev. B 60, 8640-8649 (1999).

J.C. Rojo, E. Di´eguez, and J.J. Derby, "A heat shield to control thermal gradients, melt convection, and interface shape during shouldering in Czochralski oxide growth" J. Crystal Growth 200, 329-334 (1999).

J.C. Rojo and J.J. Derby, "On the formation of rotational spoke patterns on the melt surface during Czochralski growth of molten bismuth silicon oxide" J. Crystal Growth 198/199, 154-160 (1999).

A. Yeckel, F.P. Doty, and J.J. Derby, "Effect of steady crucible rotation on segregation in high-pressure vertical Bridgman growth of cadmium zinc telluride" J. Crystal Growth 203, 87-102 (1999).

A. Yeckel and J.J. Derby, "On setting a pressure datum when computing incompressible flows" Intern. J. Numer. Meth. Fluids 29, 19-34 (1999).

J.J. Derby, Y.-I. Kwon, J.C. Rojo, B. Vartak, and A. Yeckel,, "Finite element modeling of 3D fluid dynamics in crystal growth systems" Int. J. Comput. Fluid Dynamics 12, 225-240 (1999).

K. Edwards, S. Brandon, and J.J. Derby, "Transient effects during the horizontal Bridgman growth of cadmium zinc telluride" J. Crystal Growth 206, 37-50 (1999).

J.C. Rojo, C. Marín, J.J. Derby, E. Di´eguez, "Heat transfer and the external morphology of Czochralski-grown sillenite compounds" J. Crystal Growth 183, 604-613 (1998).

J.J. Derby, S. Brandon, and A.G. Salinger,, "On the diffusion and P_1 approximations for modeling buoyant flow of an optically thick fluid" Intern. J. Heat Mass Transfer 41(11), 1405-1415 (1998).

H. Zhou and J.J. Derby, "Three-dimensional finite element analysis of viscous sintering" J. Am. Ceram. Soc. 81, 533-540 (1998).

A. Yeckel, Y. Zhou, M. Dennis, and J.J. Derby, "Three-dimensional computations of solution hydrodynamics during the growth of potassium dihydrogen phosphate: II. Spin down" J. Crystal Growth 191, 206-224 (1998).

V.V. Godlevsky, J.J. Derby and J.R. Chelikowsky, "Ab Initio Molecular Dynamics Simulations of Liquid CdTe and GaAs: Semiconducting versus Metallic Behavior" Phys. Rev. Lett. 81, 4959-4962 (1998).

S. Kuppurao and J.J. Derby, "Designing thermal environments to promote convex interface shapes during the vertical Bridgman growth of cadmium zinc telluride" J. Crystal Growth 172, 350-360 (1997).

K. Edwards and J.J. Derby, "Understanding horizontal Bridgman shelf growth of cadmium telluride and cadmium zinc telluride: II. Thermoelastic stresses" J. Crystal Growth 179, 133-143 (1997).

A. Yeckel, J.W. Smith, and J.J. Derby, "Parallel finite element calculation of flow in a three-dimensional lid-driven cavity using the CM-5 and T3D" Intern. J. Numer. Meth. Fluids 24, 1-13 (1997).

K. Edwards and J.J. Derby, "Understanding horizontal Bridgman shelf growth of cadmium telluride and cadmium zinc telluride: I. Heat and momentum transfer" J. Crystal Growth 179, 120-132 (1997).

Y. Zhou and J.J. Derby, "Three-dimensional computations of solution hydrodynamics during the growth of potassium dihydrogen phosphate: I. Spin up and steady rotation" J. Crystal Growth 180, 497-509 (1997).

A. Yeckel and J.J. Derby, "Parallel computation of incompressible flows in materials processing: Numerical experiments in diagonal preconditioning" Parallel Computing 23, 1379-1400 (1997).

S. Kuppurao, I. Tantra, and J.J. Derby, "Parallel computation of radiation view factors between two arbitrarily oriented surfaces" Comm. Numer. Meth. Engng. 12, 43-50 (1996).

S. Kuppurao, S. Brandon, and J.J. Derby, "Analysis of interrupted growth strategies for cadmium telluride in an unseeded vertical Bridgman system" J. Crystal Growth 158, 459-470 (1996).

.Q. Xiao, S. Kuppurao, A. Yeckel, and J.J. Derby, "On the effects of ampoule tilting during vertical Bridgman growth: Three-dimensional computations via a massively parallel, finite element method" J. Crystal Growth 167, 292-304 (1996).

Q. Xiao and J.J. Derby, "Three-dimensional melt flows in Czochralski oxide growth: High-resolution, massively parallel, finite element computations" J. Crystal Growth 152, 169-181 (1995).

A. Yeckel, A.G. Salinger, and J.J. Derby, "Theoretical analysis and design considerations for float-zone refinement of electronic grade silicon sheets" J. Crystal Growth 152, 51-64 (1995).

J.I. Martínez-Herrera and J.J. Derby,, "Viscous sintering of spherical particles via finite element analysis" J. Am. Ceram. Soc. 78, 645-649 (1995).

Y. Zhou and J.J. Derby, "The cathode design problem in electrochemical machining" Chem. Eng. Sci. 50(17), 2679-2689 (1995).

S. Kuppurao, S. Brandon, and J.J. Derby,, "Modeling the vertical Bridgman growth of cadmium zinc telluride. II. Transient analysis of zinc segregation" J. Crystal Growth 155, 103-111 (1995).

S. Kuppurao, S. Brandon, and J.J. Derby,, "Modeling the vertical Bridgman growth of cadmium zinc telluride. I. Quasi-steady analysis of heat transfer and convection" J. Crystal Growth 155, 93-102 (1995).

Q. Xiao, A.G. Salinger, Y. Zhou, and J.J. Derby, "Massively parallel finite element analysis of coupled, incompressible flows: A benchmark computation of baroclinic annulus waves" Intern. J. Numer. Meth. Fluids 21, 1007-1014 (1995).

A.G. Salinger, R. Aris, and J.J. Derby,, "Modeling the spontaneous ignition of coal stockpiles" AIChE J. 40(6), 991-1004 (1994).

Q. Xiao and J.J. Derby, "Heat transfer and interface inversion during the Czochralski growth of yttrium aluminum garnet and gadolinium gallium garnet" J. Crystal Growth 139, 147-157 (1994).

J.J. Derby, S. Brandon, A.G. Salinger, and Q. Xiao,, "Large-scale numerical analysis of materials processing systems: High-temperature crystal growth and molten glass flows" Comput. Methods Appl. Mech. Engrg. 112, 69-89 (1994).

K.G. Ayappa, S. Brandon, J.J. Derby, H.T. Davis, and E.A. Davis, "Microwave driven convection in a square cavity"AIChE J. 40(7), 1268-1272 (1994).

J.I. Martínez-Herrera and J.J. Derby,, "Analysis of capillary-driven viscous flows during the sintering of ceramic powders" AIChE J. 40(11), 1794-1803 (1994).

A.G. Salinger, R. Aris, and J.J. Derby,, "Finite element formulations for large-scale, coupled flows in adjacent porous and open fluid domains" Intern. J. Numer. Meth. Fluids 18, 1185-1209 (1994).

A.G. Salinger, Q. Xiao, Y. Zhou, and J.J. Derby, "Massively parallel finite element computations of three-dimensional, time-dependent, incompressible flows in materials processing systems" Comput. Methods Appl. Mech. Engrg. 119, 139-156 (1994).

Q. Xiao and J.J. Derby, "Bulk flow versus thermal-capillary models for Czochralski growth of semiconductors" J. Crystal Growth 129, 593-609 (1993).

Q. Xiao and J.J. Derby, "The role of internal radiation and melt convection in Czochralski oxide growth: deep interfaces, interface inversion, and spiraling" J. Crystal Growth 128, 188-194 (1993).

S. Brandon, J.J. Derby, L.J. Atherton, D.H. Roberts, and R.L. Vital,, "Three-dimensional heat transfer effects during the growth of LiCaAlF$_6$ in a modified Bridgman furnace" J. Crystal Growth 132, 261-279 (1993).

A.G. Salinger, S. Brandon, R. Aris, and J.J. Derby,, "Buoyancy-driven flows of a radiatively participating fluid in a vertical cylinder heated from below" Proc. R. Soc. Lond. A 442, 313-341 (1993).

S. Kuppurao and J.J. Derby, "Finite element formulations for accurate calculation of radiant heat transfer in diffuse-gray enclosures" Numer. Heat Transfer, Part B: Fundamentals 24, 431-454 (1993).

A.G. Salinger, S. Brandon, R. Aris, and J.J. Derby,, "Steady-state flow transitions in the radiative Rayleigh-B\'e nard problem: Visualizing a bifurcation diagram" Intern. Video J. Eng. Res. 3, 97-109 (1993).

S. Brandon and J.J. Derby, "Heat transfer in vertical Bridgman growth of oxides: Effects of conduction, convection, and internal radiation" J. Crystal Growth 121, 473-494 (1992).

S. Brandon and J.J. Derby, "A finite element method for conduction, internal radiation, and solidification in a finite axisymmetric enclosure" Int. J. Num. Meth. Heat Fluid Flow 2, 299-333 (1992).

S. Brandon and J.J. Derby, "Internal radiative transport in the vertical Bridgman growth of semitransparent crystals" J. Crystal Growth 110, 481-500 (1991).

S. Brandon and J.J. Derby, "A finite element method for internal radiative heat transfer and its application to analysis of the growth of semitransparent crystals" Fundamentals of Radiation Heat Transfer 160, 1-16 (1991).

J.J. Derby and Q. Xiao, "A hydrodynamic thermal-capillary model for Czochralski crystal growth: Effects of crystal rotation" Proceedings of the 28th National Heat Transfer Conference, Minneapolis, MN, July 28-31 , (1991).

J.J. Derby and Q. Xiao, "Some effects of crystal rotation on large-scale Czochralski oxide growth: Analysis via a hydrodynamic thermal-capillary model" J. Crystal Growth 113, 575-586 (1991).

P.A. Sackinger, R.A. Brown, and J.J. Derby, "A finite element method for analysis of fluid flow, heat transfer and free interfaces in Czochralski crystal growth" Intern. J. Numer. Meth. Fluids 9(4), 453-492 (1989).

P.D. Thomas, J.J. Derby, L.J. Atherton, R.A. Brown, and M.J. Wargo, "Dynamics of liquid-encapsulated Czochralski growth of gallium arsenide: Matching model to experiment" J. Crystal Growth 96, 135-152 (1989).

J.J. Derby, L.J. Atherton, and P.M. Gresho, "An integrated process model for the growth of oxide crystals by the Czochralski method" J. Crystal Growth 97, 792-826 (1989).

J.J. Derby and R.A. Brown, "On the quasi-steady-state assumption in modelling Czochralski crystal growth" J. Crystal Growth 87, 251-260 (1988).

L.J. Atherton, J.J. Derby, and R.A. Brown, "Radiative heat exchange in Czochralski crystal growth" J. Crystal Growth84, 57-78 (1987).

J.J. Derby and R.A. Brown, "On the dynamics of Czochralski crystal growth" J. Crystal Growth 83, 137-151 (1987).

P.M. Gresho and J.J. Derby, "A finite element model for induction heating of a metal crucible" J. Crystal Growth 85, 40-48 (1987).

J.J. Derby, L.J. Atherton, P.D. Thomas, and R.A. Brown,, "Finite element methods for analysis of the dynamics and control of Czochralski crystal growth" J. Scientific Computing 2(4), 297-343 (1987).

J.J. Derby and R.A. Brown, "A fully implicit method for simulation of the one-dimensional solidification of a binary alloy" Chem. Eng. Sci. 41(1), 37-46 (1986).

J.J. Derby and R.A. Brown, "Thermal-capillary analysis of Czochralski and liquid encapsulated Czochralski crystal growth I. Simulation" J. Crystal Growth 74, 605-624 (1986).

J.J. Derby and R.A. Brown, "Thermal-capillary analysis of Czochralski and liquid encapsulated Czochralski crystal growth II. Processing strategies" J. Crystal Growth 75, 227-240 (1986).

J.J. Derby, R.A. Brown, F.T. Geyling, A.S. Jordan, and G.A. Nikolakopoulou, "Finite element analysis of a thermal-capillary model for liquid encapsulated Czochralski growth" J. Electrochem. Soc. 132(2), 470-482 (1985).

E.D. Bourret, J.J. Derby, and R.A. Brown, "Dynamics of Bridgman-Stockbarger growth of non-dilute binary alloys" J. Crystal Growth 71, 587-596 (1985).

E.D. Bourret, J.J. Derby, R.A. Brown, and A.F. Witt, "Segregation effects during growth of pseudo-binary systems with large liquidus-solidus separation" Acta Astronautica 11(3-4), 163-171 (1984).