Alexander A. Golovin
Associate Professor
Ph. D. (Chemical Engineering), Karpov Institute of Physical Chemistry,
USSR Academy of Sciences
M. Sc. (Physics), Moscow Institute of Physics and Technology (Moscow,
Russia)
E-mail address: a-golovin@northwestern.edu
Research Interests:
Mathematical modeling in materials science, nanotechnology, biophysical systems and
physico-chemical hydrodynamics; nonlinear dynamics and pattern formation in systems
far from equilibrium.
Graduate students:
G. Singh (Ph.D. 2005; postdoc at MIT)
L. Fisher (Ph.D. 2006; researcher at Aerospace Corporation)
M. Levine (Ph.D. 2007; postdoc at University of Chicago)
C. Sample (Ph.D. expected in 2008)
L. Stanton (Ph.D. expected in 2009)
M. Demers (Ph.D. expected in 2010)
J. Kao, joint with S.H.Davis (Ph.D. expected in 2008)
S. Swaminathan, joint with I.S.Aranson, Argonne Lab (Ph.D. expected in 2010)
Postdoctoral associates:
T. Savina (2001-2005)
I. Savin (2004-2005)
Recent Publications (2002-2007):
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M.S. Levine, A.A. Golovin, S.H. Davis and P.W. Voorhees,
``Self-Assembly of Quantum Dots in a Thin Epitaxial Film Wetting an Elastic
Substrate", , Phys. Rev. B. 75 205312 (2007).
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L.S. Fisher and A.A. Golovin,
``The Motion of a Droplet Near an Evaporating Liquid-Gas Interface",
Physics of Fluids 19, 032101 (2007).
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B.Y. Rubinstein, A.A. Nepomnyashchy and A.A. Golovin,
"Stability of Localized Solutions in a Subcritically Unstable Pattern-Forming
System under a Global Delayed Control",
Phys. Rev. E. 75, 046213 (2007).
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L.S. Fisher and A.A. Golovin,
``Instability of a two-layer thin liquid film with surfactants: dewetting waves",
J. Colloid Interface Sci. 307, 203-214 (2007).
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C. Sample and A.A. Golovin,
``On the Formation of Porous Metal Oxides in Anodization Process",
Phys. Rev. E. 74, 041606 (2006).
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J.C.-T. Kao, A.A. Golovin and S.H. Davis,
``Rupture of thin films with resonant substrate patterning",
J. Colloid Interface Sci. 303, 532-545 (2006).
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A.A.Nepomnyashchy and A.A. Golovin,
``General aspects of pattern formation",
in: Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems,
A.A. Golovin and A.A. Nepomnyashchy (eds.), Springer 2006, pp.1-54.
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A.A. Golovin, P.W. Voorhees and S.H. Davis,
``Self-assembly of quantum dots from thin solid films",
in: Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems,
A.A. Golovin and A.A. Nepomnyashchy (eds.), Springer 2006, pp.123-158.
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A.A. Nepomnyashchy, A.A. Golovin, A.E. Tikhomirova and V.A. Volpert,
``Nucleation and growth of droplets at a liquid-gas interface",
Phys. Rev. E {\bf 74}, 021605 (2006).
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M.S.Park, A.A.Golovin and S.H.Davis,
``The encapsulation of particles and bubbles by an advancing solidification front",
J. Fluid Mech. 560, 415-436 (2006).
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G.K. Singh, A.A. Golovin and I.S. Aranson,
``Formation of Self-organized Nanoscale Porous Structures in Anodic Aluminum
Oxide", Phys. Rev. B 73, 205422 (2006).
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C. Grigoropoulos, M. Rogers, S.H. Ko, A.A. Golovin and B.J.
Matkowsky,
``Explosive Crystallization in the Presence of Melting",
Phys. Rev. B 73, 184125 (2006).
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A.A.Golovin and A.A.Nepomnyashchy,
``Feedback Control of Subcritical Oscillatory Instabilities",
Phys. Rev. E 73, 046212 (2006).
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M.A.Zaks, A.Podolny, A.A.Golovin and A.A.Nepomnyashchy,
``Stability of
periodic stationary patterns governed by a convective Cahn-Hilliard equation",
SIAM J. Appl. Math. 66, 700-720 (2006).
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L.S.Fisher and A.A.Golovin,
``Nonlinear stability analysis of a two-layer thin liquid film: dewetting and
autophobic behavior", J. Colloid Interface Sci. 291, 515-528 (2005).
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G.K.Singh, A.A.Golovin, I.S.Aranson and V.Vinokur,
``Formation of nanoscale pores during anodization of aluminum",
Europhys. Lett. 70, 836-842 (2005).
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A. Podolny, M.A.Zaks, B.Y.Rubinstein, A.A.Golovin and
A.A.Nepomnyashchy
``Dynamics of Domain Walls Governed by the Convective Cahn-Hilliard Equation",
Physica D 201, 291-305 (2005).
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A.A. Golovin, M.S. Levine, T.V.Savina and S.H.Davis,
``Faceting instability in the presence of wetting interactions: a mechanism
for the formation of quantum dots",
Phys. Rev. B 70, 235342 (2004).
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A.A.Nepomnyashchy, A.A.Golovin, V.Gubareva and V.Panfilov,
``Global Feedback Control of a Long-Wave Morphological Instability",
Physica D 199, 61-81 (2004).
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E.A.Glasman, A.A.Golovin, and A.A.Nepomnyashchy,
``Instabilities of Wavy Patterns Governed by Coupled Burgers Equations'',
SIAM J. Appl. Math. 65, 230-251 (2004).
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A.A.Golovin and L.M.Pismen,
``Dynamic phase separation: from coarsening to turbulence via structure
formation",
Chaos 14, 845-854 (2004).
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A.A.Golovin, S.H.Davis and P.W.Voorhees,
``Self-Organization of Quantum Dots in Epitaxially-Strained Solid Films'',
Phys. Rev. E 68, 056203 (2003).
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A.A.Golovin and A.A.Nepomnyashchy,
``Disclinations in square and hexagonal patterns'',
Phys. Rev. E. 67, 056202 (2003).
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A.A.Golovin, B.J.Matkowsky and A.A.Nepomnyashchy,
``A complex Swift-Hohenberg equation coupled to the Goldstone mode in the nonlinear
dynamics of flames'',
Physica D 179, 183-210 (2003).
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T.V.Savina, A.A.Golovin, S.H.Davis, A.A.Nepomnyashchy and P.Voorhees,
``On Faceting of a Growing Crystal Surface by Surface Diffusion'',
Phys. Rev. E. 67, 021606 (2003).
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A.A.Golovin, A.A.Nepomnyashchy and L.M.Pismen,
``Non-potential effects in nonlinear dynamics of Marangoni convection'',
J. Bifurcation and Chaos 12, 2487-2500 (2002).
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Th.Boeck, A.Nepomnyashchy, I.Simanovsky, A.Golovin, L.Braverman,
and A.Thess, ``Three-dimensional convection in a two-layer system with
anomalous thermocapillary effect'',
Phys. Fluids 14, 3899-3911 (2002).
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T.V.Savina, A.A.Nepomnyashchy, S.Brandon, D.R.Lewin and
A.A.Golovin, ``Suppressing morphological instability via feedback control'',
J. Cryst. Growth 240, 292-304 (2002).
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A.V.Lyushnin, A.A.Golovin and L.M.Pismen, ``Fingering
instability of thin evaporating liquid films'', Phys. Rev. E 65,
paper \#021602 (7 pages) (2002).