TY - JOUR
T1 - Controlled formation of self-assembled nanostructures with desired geometries
T2 - Robust dynamic paths to robust desired structures
AU - Solis, Earl O.P.
AU - Barton, Paul I.
AU - Stephanopoulos, George
N1 - Funding Information:
Earl Solis and George Stephanopoulos acknowledge with gratitude the support for this work provided by Mitsubishi Chemical Holding Company.
PY - 2009
Y1 - 2009
N2 - This paper discusses the design principles underlying the controlled formation of nanostructures with desired geometries through a hybrid top-down and bottom-up approach: top-down formation of the physical domains with externally-imposed controls and bottom-up self-assembly of the nanoscale particles to form the desired structure. We propose a two-phase approach for this design problem. The first phase guarantees a robust desired structure, and the second allows the desired structure to be reachable from any initial particle distribution in the physical domain. Both phases require the solution of combinatorially-constrained quadratic optimization problems. The dynamics of the self-assembly process is described through a multiresolution view of the system. Crucial to the achievement of the design goals is the need to break the ergodicity of the system.
AB - This paper discusses the design principles underlying the controlled formation of nanostructures with desired geometries through a hybrid top-down and bottom-up approach: top-down formation of the physical domains with externally-imposed controls and bottom-up self-assembly of the nanoscale particles to form the desired structure. We propose a two-phase approach for this design problem. The first phase guarantees a robust desired structure, and the second allows the desired structure to be reachable from any initial particle distribution in the physical domain. Both phases require the solution of combinatorially-constrained quadratic optimization problems. The dynamics of the self-assembly process is described through a multiresolution view of the system. Crucial to the achievement of the design goals is the need to break the ergodicity of the system.
KW - Ergodicity breaking
KW - Robust nanostructures
KW - Self-assembly dynamics
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U2 - 10.1016/S1570-7946(09)70676-5
DO - 10.1016/S1570-7946(09)70676-5
M3 - Article
AN - SCOPUS:77649293125
SN - 1570-7946
VL - 27
SP - 1713
EP - 1718
JO - Computer Aided Chemical Engineering
JF - Computer Aided Chemical Engineering
IS - C
ER -