Brian Spencer

PhD

Brian Spencer.

Brian Spencer

PhD

Brian Spencer

PhD

Research Interests

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

Education

PhD, Northwestern University

Research Summary

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

C. Wei and B. J. Spencer, A Fokker-Planck reaction model for the epitaxial growth and shape transition of quantum dots, Proceedings Royal Society A, vol 473, art 20170308 (2017).

C. Wei and B. J. Spencer, Asymmetric shape transitions of epitaxial quantum dots, Proceedings Royal Society A, vol 472, art 20160262 (2016). 

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

B. J. Spencer and J. Tersoff, Asymmetry and shape transitions of epitaxially-strained islands on vicinal surfacesApplied 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).