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Chaffart D, Ricardez-Sandoval LA. Robust optimization of a multiscale heterogeneous catalytic reactor system with spatially-varying uncertainty descriptions using polynomial chaos expansions. CAN J CHEM ENG 2017. [DOI: 10.1002/cjce.22912] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023]
Affiliation(s)
- Donovan Chaffart
- Department of Chemical Engineering; University of Waterloo; Waterloo ON N2L 3G1 Canada
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Nayhouse M, Tran A, Kwon JSI, Crose M, Orkoulas G, Christofides PD. Modeling and control of ibuprofen crystal growth and size distribution. Chem Eng Sci 2015. [DOI: 10.1016/j.ces.2015.05.033] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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di Caprio D, Aarão Reis FDA. Transition from compact to porous films in deposition with temperature-activated diffusion. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 92:012402. [PMID: 26274181 DOI: 10.1103/physreve.92.012402] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/20/2015] [Indexed: 06/04/2023]
Abstract
We study a thin-film growth model with temperature activated diffusion of adsorbed particles, allowing for the formation of overhangs and pores, but without detachment of adatoms or clusters from the deposit. Simulations in one-dimensional substrates are performed for several values of the diffusion-to-deposition ratio R of adatoms with a single bond and of the detachment probability ε per additional nearest neighbor, respectively, with activation energies are E(s) and E(b). If R and ε independently vary, regimes of low and high porosity are separated at 0.075≤ε(c)≤0.09, with vanishingly small porosity below that point and finite porosity for larger ε. Alternatively, for fixed values of E(s) and E(b) and varying temperature, the porosity has a minimum at T(c), and a nontrivial regime in which it increases with temperature is observed above that point. This is related to the large mobility of adatoms, resembling features of equilibrium surface roughening. In this high-temperature region, the deposit has the structure of a critical percolation cluster due to the nondesorption. The pores are regions enclosed by blobs of the corresponding percolating backbone, thus the distribution of pore size s is expected to scale as s(-τ̃) with τ̃≈1.45, in reasonable agreement with numerical estimates. Roughening of the outer interface of the deposits suggests Villain-Lai-Das Sarma scaling below the transition. Above the transition, the roughness exponent α≈0.35 is consistent with the percolation backbone structure via the relation α=2-d(B), where d(B) is the backbone fractal dimension.
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Affiliation(s)
- Dung di Caprio
- PSL Research University, Chimie ParisTech-CNRS, Institut de Recherche de Chimie Paris, 75005 Paris, France
| | - F D A Aarão Reis
- Instituto de Física, Universidade Federal Fluminense, Avenida Litorânea s/n, 24210-340 Niterói RJ, Brazil
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Thin-Film Materials. Drug Deliv 2014. [DOI: 10.1007/978-1-4939-1998-7_3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022] Open
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Huang J, Orkoulas G, Christofides PD. Surface morphology control of Transparent Conducting Oxide layers for improved light trapping using wafer grating and feedback control. Chem Eng Sci 2012. [DOI: 10.1016/j.ces.2012.07.011] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Huang J, Orkoulas G, Christofides PD. Modeling and control of Transparent Conducting Oxide layer surface morphology for improved light trapping. Chem Eng Sci 2012. [DOI: 10.1016/j.ces.2012.02.030] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Zhang X, Huang J, Hu G, Orkoulas G, Christofides PD. Controlling aggregate thin film surface morphology for improved light trapping using a patterned deposition rate profile. Chem Eng Sci 2012. [DOI: 10.1016/j.ces.2011.03.047] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Huang J, Zhang X, Orkoulas G, Christofides PD. Dynamics and control of aggregate thin film surface morphology for improved light trapping: Implementation on a large-lattice kinetic Monte Carlo model. Chem Eng Sci 2011. [DOI: 10.1016/j.ces.2011.08.020] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Huang J, Hu G, Orkoulas G, Christofides PD. Dependence of film surface roughness and slope on surface migration and lattice size in thin film deposition processes. Chem Eng Sci 2010. [DOI: 10.1016/j.ces.2010.08.035] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Bi Z, Anderoglu O, Zhang X, MacManus-Driscoll JL, Yang H, Jia Q, Wang H. Nanoporous thin films with controllable nanopores processed from vertically aligned nanocomposites. NANOTECHNOLOGY 2010; 21:285606. [PMID: 20585164 DOI: 10.1088/0957-4484/21/28/285606] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/29/2023]
Abstract
Porous thin films with ordered nanopores have been processed by thermal treatment on vertically aligned nanocomposites (VAN), e.g., (BiFeO(3))(0.5):(Sm(2)O(3))(0.5) VAN thin films. Uniformly distributed nanopores with an average diameter of 60 nm and 150 nm were formed at the bottom and top of the nanoporous films, respectively. Controllable porosity can be achieved by adjusting the microstructure of VAN (BiFeO(3)):(Sm(2)O(3)) thin films and the annealing parameters. In situ heating experiments within a transmission electron microscope (TEM) column at temperatures from 25 to 850 degrees C, provides significant insights into the phase transformation, evaporation and structure reconstruction during the annealing. The in situ experiments also demonstrate the possibility of processing vertically aligned nanopores (VANP) with one phase stable in a columnar structure. These nanoporous thin films with controllable pore size and density could be promising candidates for thin film membranes and catalysis for fuel cell and gas sensor applications.
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Affiliation(s)
- Zhenxing Bi
- Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX 77843, USA
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Huang J, Hu G, Orkoulas G, Christofides PD. Dynamics and Lattice-Size Dependence of Surface Mean Slope in Thin-Film Deposition. Ind Eng Chem Res 2010. [DOI: 10.1021/ie100012w] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jianqiao Huang
- Department of Chemical and Biomolecular Engineering and Department of Electrical Engineering, University of California, Los Angeles, California 90095
| | - Gangshi Hu
- Department of Chemical and Biomolecular Engineering and Department of Electrical Engineering, University of California, Los Angeles, California 90095
| | - Gerassimos Orkoulas
- Department of Chemical and Biomolecular Engineering and Department of Electrical Engineering, University of California, Los Angeles, California 90095
| | - Panagiotis D. Christofides
- Department of Chemical and Biomolecular Engineering and Department of Electrical Engineering, University of California, Los Angeles, California 90095
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Zhang X, Hu G, Orkoulas G, Christofides PD. Multivariable Model Predictive Control of Thin Film Surface Roughness and Slope for Light Trapping Optimization. Ind Eng Chem Res 2010. [DOI: 10.1021/ie100814f] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Xinyu Zhang
- Department of Chemical and Biomolecular Engineering and Department of Electrical Engineering, University of California, Los Angeles, California 90095
| | - Gangshi Hu
- Department of Chemical and Biomolecular Engineering and Department of Electrical Engineering, University of California, Los Angeles, California 90095
| | - Gerassimos Orkoulas
- Department of Chemical and Biomolecular Engineering and Department of Electrical Engineering, University of California, Los Angeles, California 90095
| | - Panagiotis D. Christofides
- Department of Chemical and Biomolecular Engineering and Department of Electrical Engineering, University of California, Los Angeles, California 90095
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Forgerini FL, Figueiredo W. Thin-film growth by random deposition of linear polymers on a square lattice. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010; 81:051603. [PMID: 20866235 DOI: 10.1103/physreve.81.051603] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/04/2010] [Revised: 04/10/2010] [Indexed: 05/29/2023]
Abstract
We present some results of Monte Carlo simulations for the deposition of particles of different sizes on a two-dimensional substrate. The particles are linear, height one, and can be deposited randomly only in the two x and y directions of the substrate and occupy an integer number of cells of the lattice. We show there are three different regimes for the temporal evolution of the interface width. At the initial times we observe an uncorrelated growth, with an exponent β1 characteristic of the random deposition model. At intermediate times, the interface width presents an unusual behavior, described by a growing exponent β2, which depends on the size of the particles added to the substrate. If the linear size of the particle is two we have β2 < β1, otherwise we have β2 > β1, for all other particle sizes. After the growth reaches the saturation regime where the interface width becomes constant and is described by the roughness exponent α, which is nearly independent of the size of the particle. Similar results are found in the surface growth due to the electrophoretic deposition of polymer chains. Contrary to one-dimensional results the growth exponents are nonuniversal.
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Affiliation(s)
- F L Forgerini
- ISB, Universidade Federal do Amazonas, 69460-000 Coari, AM, Brazil.
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Zhang X, Hu G, Orkoulas G, Christofides PD. Controller and Estimator Design for Regulation of Film Thickness, Surface Roughness, and Porosity in a Multiscale Thin Film Growth Process. Ind Eng Chem Res 2009. [DOI: 10.1021/ie901396g] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Xinyu Zhang
- Department of Chemical and Biomolecular Engineering, University of California, Los Angeles, California 90095, and Department of Electrical Engineering, University of California, Los Angeles, California 90095
| | - Gangshi Hu
- Department of Chemical and Biomolecular Engineering, University of California, Los Angeles, California 90095, and Department of Electrical Engineering, University of California, Los Angeles, California 90095
| | - Gerassimos Orkoulas
- Department of Chemical and Biomolecular Engineering, University of California, Los Angeles, California 90095, and Department of Electrical Engineering, University of California, Los Angeles, California 90095
| | - Panagiotis D. Christofides
- Department of Chemical and Biomolecular Engineering, University of California, Los Angeles, California 90095, and Department of Electrical Engineering, University of California, Los Angeles, California 90095
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