Brian Spencer

Professor
PhD, Northwestern University

Contact Information:

319 Mathematics Building
University at Buffalo
Buffalo, NY 14260-2900

Tel:  (716) 645-8805
Fax: (716) 645 5039

E-mail:  spencerb@buffalo.edu
Personal website: Brian Spencer

On Leave Spring 2016

Research

Areas of Specialization: Applied mathematics, Mathematical Aspects of Materials Science materials modeling, free boundary problems, instabilities and microstructure formation.

Current Research:
    Shape transitions in faceted quantum dots
    Liquid meniscus behavior during VLS nanowire growth

Selected Publications

1500 total cites in the literature.  Reprints available by email request.

B. J. Spencer and J. Tersoff, Symmetry breaking in shape transitions of epitaxial quantum dots, Physical Review B, vol 87, art 161301 (2013).

B. J. Spencer and J. Tersoff, Asymmetry and shape transitions of epitaxially-strained islands on vicinal surfaces, Applied Physics Letters, vol 96, art 073114 (2010).

X. Han and B. J. Spencer, Composition evolution of quantum dots during the growth of solid films, IMA Journal of Applied Mathematics, vol 75, pp 222-239 (2010).

A. Mastroberardino and B. J. Spencer, Three-dimensional equilibrium crystal shapes with corner energy regularization, IMA Journal of Applied Mathematics, vol 75, pp 190-205 (2010).

M. Blanariu and B. J. Spencer, Asymptotic analysis of the shape and composition of alloy islands in epitaxial solid films, Mathematical Modeling of Natural Phenomena, vol 3, no 5, pp 30-49 (2008).

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).

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).