CEMS Faculty


Jeffrey Derby

Professor and Executive Officer

612-625-8881
email: derby@umn.edu

Research Home Page

B.S., Chemical Engineering, California Institute of Technology, 1981
M.S., Chemical Engineering Practice, Massachusetts Institute of Technology,
   1982
Ph.D., Chemical Engineering, Massachusetts Institute of Technology, 1986

Research Areas

Crystal Growth and Design
Theory and Computation

We are applying large-scale numerical simulation and high-performance computing to better understand continuum transport and reaction in the processing of advanced materials. These exciting tools provide a new means of obtaining the fundamental physical insight necessary to enable advances in many modern materials processing operations, and the sphere of accessible problems continues to enlarge with the rapid evolution of computers and numerical methods. Research areas include analyses of crystal growth processes, morphological instabilities, microstructure evolution, colloidal crystallization (with Prof. David Norris), and the operation and fabrication of dye-sensitized solar cells (with Prof. Eray Aydil). The development of efficient numerical methods are performed in support of these studies.

Our research in crystal growth is directed at understanding the complex, inherently nonlinear phenomena that control the processes used to create these materials. This understanding is motivated by needs of current and future electronic and optical systems, which require single-crystal substrates with precisely controlled properties. We are particularly interested in describing heat transfer in high-temperature melt growth systems, internal radiant heat transfer in semitransparent crystals, three-dimensional time-dependent flows in crystal growth systems, mass transfer in melt and solution growth, faceting phenomena, and morphological stability of crystal interfaces. Recent work has concentrated on the growth and properties of cadmium zinc telluride and step dynamics during solution growth.

In conjunction with research in the areas described above, we seek to advance state-of-the-art numerical methods and analysis. These efforts primarily involve finite element methods for solutions to governing equations for incompressible fluid dynamics, heat and mass transfer, radiation heat transfer, and free and moving boundary problems. Methods are developed for modern parallel architectures.

Selected Publications

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 22(15), 6578–6586 (2006).
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).
A. Pandy, A. Yeckel, M. Reed, C. Szeles, M. Hainke, G. Muller, 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).
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).
J.J. Derby, "Crystal Growth: Crystal growth, bulk (Theory and Models)," in: Encyclopedia of Con- densed Matter Physics, Eds. F. Bassani, J. Liedl, and P. Wyder, Academic Press, pp. 274–282 (2005).
J.J. Derby and A. Yeckel, "Modeling of Crystal Growth Processes," in: Crystal Growth — From Fundamentals to Technology, Eds. G. Muller, J.-J. Metois, and P. Rudolph, Elsevier, Amsterdam (2004) pp. 143–167.
A. Yeckel, G. Compere, 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).
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).

Current Research Staff

Parthiv Daggolu,  Wenmei Ming,  Gaurab Samanta,  Wei Wang,  Hui Xie,  Nan Zhang

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