TY - JOUR
T1 - Self-assembly of a drop pattern from a two-dimensional grid of nanometric metallic filaments
AU - Cuellar, Ingrith
AU - Ravazzoli, Pablo D.
AU - Diez, Javier A.
AU - González, Alejandro G.
AU - Roberts, Nicholas A.
AU - Fowlkes, Jason D.
AU - Rack, Philip D.
AU - Kondic, Lou
N1 - Funding Information:
I. Cuellar and P. Ravazzoli acknowledge postgraduate student fellowships from Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET, Argentina). J. Diez and A. González acknowledge support from Agencia Nacional de Promoción Científica y Tecnológica (ANPCyT, Argentina) with Grant No. PICT 1067/2016. P. Rack acknowledges support from NSF CBET Grant No. 1603780. The experiments and the lithographic patterning were conducted at the Center for Nanophase Materials Sciences, which is a DOE Office of Science User Facility. L. Kondic acknowledges support by NSF CBET Grant No. 1604351.
Publisher Copyright:
© 2018 American Physical Society.
PY - 2018/10/4
Y1 - 2018/10/4
N2 - We report experiments, modeling, and numerical simulations of the self-assembly of particle patterns obtained from a nanometric metallic square grid. Initially, nickel filaments of rectangular cross section are patterned on a SiO2 flat surface, and then they are melted by laser irradiation with ∼18-ns pulses. During this time, the liquefied metal dewets the substrate, leading to a linear array of drops along each side of the squares. The experimental data provide a series of SEM images of the resultant morphology as a function of the number of laser pulses or cumulative liquid lifetime. These data are analyzed in terms of fluid mechanical models that account for mass conservation and consider flow evolution with the aim to predict the final number of drops resulting from each side of the square. The aspect ratio, δ, between the square sides' lengths and their widths is an essential parameter of the problem. Our models allow us to predict the δ intervals within which a certain final number of drops are expected. The comparison with experimental data shows a good agreement with the model that explicitly considers the Stokes flow developed in the filaments neck region that lead to breakup points. Also, numerical simulations that solve the Navier-Stokes equations along with slip boundary condition at the contact lines are implemented to describe the dynamics of the problem.
AB - We report experiments, modeling, and numerical simulations of the self-assembly of particle patterns obtained from a nanometric metallic square grid. Initially, nickel filaments of rectangular cross section are patterned on a SiO2 flat surface, and then they are melted by laser irradiation with ∼18-ns pulses. During this time, the liquefied metal dewets the substrate, leading to a linear array of drops along each side of the squares. The experimental data provide a series of SEM images of the resultant morphology as a function of the number of laser pulses or cumulative liquid lifetime. These data are analyzed in terms of fluid mechanical models that account for mass conservation and consider flow evolution with the aim to predict the final number of drops resulting from each side of the square. The aspect ratio, δ, between the square sides' lengths and their widths is an essential parameter of the problem. Our models allow us to predict the δ intervals within which a certain final number of drops are expected. The comparison with experimental data shows a good agreement with the model that explicitly considers the Stokes flow developed in the filaments neck region that lead to breakup points. Also, numerical simulations that solve the Navier-Stokes equations along with slip boundary condition at the contact lines are implemented to describe the dynamics of the problem.
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U2 - 10.1103/PhysRevE.98.043101
DO - 10.1103/PhysRevE.98.043101
M3 - Article
AN - SCOPUS:85054588395
SN - 1063-651X
VL - 98
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 4
M1 - 043101
ER -