Brian Spencer - Publications


M. Blanariu and B. J. Spencer, Asymptotic Analysis of the Shape and Composition of Alloy Islands in Epitaxial Solid Films, submitted to Mathematical Modeling of Natural Phenomena.

W. T. Tekalign and B. J. Spencer, Thin film evolution equation for a strained solid film on a deformable substrate: Numerical steady states, Journal of Applied Physics, vol 102, art 073503 (2007).

X. Han and B.J. Spencer, A nonlinear model for surface segregation and solute trapping during planar film growth, Journal of Applied Physics, vol 101, art 084302 (2007).

M. Blanariu and B.J. Spencer, Weakly nonlinear bifurcation analysis of pattern formation in strained alloy film growth, IMA Journal of Applied Mathematics, vol 72, pp 9-35 (2006).

B. J. Spencer and M. Blanariu, Shape and composition profile of a prepyramid quantum dot, Physical Review Letters, vol 95, article 206101 (2005). 

B.J. Spencer, Asymptotic solutions for the equilibrium crystal shape with small corner energy regularization, Physical Review E, vol 69, article 011603 (2004).

W.T. Tekalign and B.J. Spencer, Evolution equation for a thin epitaxial film on a deformable substrateJournal of Applied Physics, vol 96, pp 5505-5512 (2004).

A. Rastelli, H. von Kanel, B.J. Spencer and J. Tersoff, Prepyramid-to-pyramid transition of SiGe islands on Si(001), Physical Review B, vol 68, article 115301 (2003).

J. Tersoff, B.J. Spencer, A. Rastelli and H. Von Kanel, Tersoff et al Reply: Comparison of Continuum and Step Models for SiGe Islands, Physical Review Letters, vol 91, article 099602 (2003)

J. Tersoff, B.J. Spencer, A. Rastelli and H. von Kanel, Barrierless formation and faceting of SiGe islands on Si(001), Physical Review Letters, vol 89, article 196104 (2002).

L.L Shanahan and B.J. Spencer, "A codimension-two free boundary problem for the equilibrium shapes of a small three-dimensional island in an epitaxially-strained solid film,"  Interfaces and Free Boundaries, vol 4, pp 1-25, (2002).

B.J. Spencer and J. Tersoff, "Stresses and first-order dislocation energetics in equilibrium Stranski-Krastanow islands," Physical Review B, vol 63, article 205424 (2001).

B.J. Spencer, P.W. Voorhees and J. Tersoff, "Morphological instability theory for strained alloy film growth: the effect of compositional stresses and species-dependent surface mobilities on ripple formation during epitaxial film deposition," Physical Review B, vol 64, article 235318 (2001). 

B.J. Spencer and J. Tersoff, "Dislocation Energetics in Epitaxial Strained Islands," Applied Physics Letters, vol 77, pp 2533-2535 (2000).

B.J. Spencer, P.W. Voorhees and J. Tersoff, "Stabilization of strained alloy film growth by a difference in atomic mobilities" Applied Physics Letters, vol 76, pp 3022-3024 (2000).

N.J. Tumavitch, D.A. Cadenhead and B.J. Spencer,  "The thermodynamics of meniscus formation on Wilhelmy plate immersion at theair/water interface and the mechanics of initial film deposition", in Proceedings of the Space Technology and Applications International Forum, Ed. M. El-Genk, American Institute of Physics publication #504 (Springer Verlag, 2000)  pp 854-860.

B.J. Spencer, P.W. Voorhees and J. Tersoff,  "Enhanced instability of strained alloy films due to compositional stresses," Physical Review Letters, vol 84, pp 2449-2452 (2000).

C. D. Rudin and B. J. Spencer, "Equilibrium ridge arrays in strained solid films,"  Journal of Applied Physics, vol 86, pp 5530-5536 (1999).

B. J. Spencer and H. E. Huppert, "The relationship between dendrite tip characteristics and dendrite spacings in alloy directional solidification," Journal of Crystal Growth, vol 200, pp 287-296 (1999).

B. J. Spencer, "An asymptotic derivation of the glued wetting layer model and contact angle condition for Stranski-Krastanow islands,"  Physical Review B, vol  59, pp 2011-2017 (1999).

B. J. Spencer and H. E. Huppert, "On the solidification of dendritic arrays: selection of the tip characteristics of slender needle crystals by array interactions," Acta Materialia, vol 46, pp 2645-2662 (1998).

B. J. Spencer and J. Tersoff, "Equilibrium shapes of islands in epitaxially-strained solid films," in Mathematics of Multiscale Materials, edited by K.M. Golden, G.R. Grimmett, R.D. James, G.W. Milton and P.N. Sen (Springer-Verlag, NY, 1998) pp 255-269.

B. J. Spencer and J. Tersoff, "Equilibrium shapes and properties of epitaxially strained islands Physical Review Letters, vol 79, pp 4858-4861 (1997).

B. J. Spencer and H.E. Huppert, "On the solidification of dendritic arrays: an asymptotic theory for the directional solidification of slender needle crystals,"  Acta Materialia, vol 45, pp 1535-1549 (1997).

B. J. Spencer and J. Tersoff, "Equilibrium shapes of small strained islands," in Evolution of Epitaxial Structure and Morphology, Editors: A. Zangwill, D. Jesson, D. Chambliss and R. Clarke, Materials Research Society Symposium Proceedings, vol 399, pp 283-288 (1996) .

B. J. Spencer and H. E. Huppert, "Steady-state solutions for an array of strongly-interacting needle crystals in the limit of small undercooling," Journal of Crystal Growth, vol 148, pp 305-323 (1995) .

B.J. Spencer and D.I. Meiron, "Nonlinear Evolution of the Stress-Driven Morphological Instability in a Two-Dimensional Semi-Infinite Solid," Acta Metallurgica et Materialia, vol 42, pp 3629-3641 (1994).

B.J. Spencer, S.H. Davis and P.W. Voorhees, "Morphological Instability in Epitaxially-Strained Dislocation-Free Solid Films: Nonlinear Evolution," Physical Review B, vol 47, pp 9760-9777 (1993).

B.J. Spencer, P.W. Voorhees and S.H. Davis, "Morphological Instability in Epitaxially-Strained Dislocation-Free Solid Films: Linear Stability Theory," Journal of Applied Physics, vol 73, pp 4955-4970 (1993).

B.J. Spencer, P.W. Voorhees, S.H. Davis and G.B. McFadden, "The Effect of Compositionally-Generated Elastic Stresses on Morphological Instability During Directional Solidification," Acta Metallurgica et Materialia, vol 40, pp 1599-1616 (1992).

G. Ierley, B. Spencer and R. Worthing, "Spectral Methods in Time for a Class of Parabolic Partial Differential Equations," Journal of Computational Physics, vol 102, pp 88-97 (1992).

B.J. Spencer, P.W. Voorhees and S.H. Davis, "Morphological Instability in Epitaxially-Strained Dislocation-Free Solid Films," Physical Review Letters, vol 67, pp 3696-3699 (1991).