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Volumn 29, Issue 4, 2005, Pages 741-759

Feedback control of surface roughness in sputtering processes using the stochastic Kuramoto-Sivashinsky equation

Author keywords

Feedback control; Sputtering processes; Stochastic Kuramoto Sivashinsky equation; Surface roughness

Indexed keywords

COMPUTER SIMULATION; CONTROL EQUIPMENT; DIFFUSION; EROSION; FEEDBACK CONTROL; MATHEMATICAL MODELS; MONTE CARLO METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PARAMETER ESTIMATION; RANDOM PROCESSES; SURFACE ROUGHNESS;

EID: 13444304351     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2004.09.006     Document Type: Article
Times cited : (30)

References (57)
  • 2
    • 0001841018 scopus 로고    scopus 로고
    • Feedback control of the Kuramoto-Sivashinsky equation
    • A. Armaou, and P.D. Christofides Feedback control of the Kuramoto-Sivashinsky equation Physica D 137 2000 49 61
    • (2000) Physica D , vol.137 , pp. 49-61
    • Armaou, A.1    Christofides, P.D.2
  • 3
    • 0034616305 scopus 로고    scopus 로고
    • Wave suppression by nonlinear finite-dimensional control
    • A. Armaou, and P.D. Christofides Wave suppression by nonlinear finite-dimensional control Chemical Engineering Science 55 2000 2627 2640
    • (2000) Chemical Engineering Science , vol.55 , pp. 2627-2640
    • Armaou, A.1    Christofides, P.D.2
  • 5
    • 0022860982 scopus 로고
    • Nonlinear waves on liquid film surfaces. II. Bifurcation analyses of the long-wave equation
    • L.H. Chen, and H.C. Chang Nonlinear waves on liquid film surfaces. II. Bifurcation analyses of the long-wave equation Chemical Engineering Science 41 1986 2477 2486
    • (1986) Chemical Engineering Science , vol.41 , pp. 2477-2486
    • Chen, L.H.1    Chang, H.C.2
  • 7
  • 9
    • 0000411924 scopus 로고    scopus 로고
    • Global stabilization of the Kuramoto-Sivashinsky equation via distributed output feedback control
    • P.D. Christofides, and A. Armaou Global stabilization of the Kuramoto-Sivashinsky equation via distributed output feedback control Systems & Controll Letters 39 2000 283 294
    • (2000) Systems & Controll Letters , vol.39 , pp. 283-294
    • Christofides, P.D.1    Armaou, A.2
  • 10
    • 0001141422 scopus 로고    scopus 로고
    • Robust output feedback control of quasi-linear parabolic PDE systems
    • P.D. Christofides, and J. Baker Robust output feedback control of quasi-linear parabolic PDE systems Systems & Controll Letters 36 1999 307 316
    • (1999) Systems & Controll Letters , vol.36 , pp. 307-316
    • Christofides, P.D.1    Baker, J.2
  • 11
    • 0031366767 scopus 로고    scopus 로고
    • Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds
    • P.D. Christofides, and P. Daoutidis Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds Journal of Mathematical Analysis and Applications 216 1997 398 420
    • (1997) Journal of Mathematical Analysis and Applications , vol.216 , pp. 398-420
    • Christofides, P.D.1    Daoutidis, P.2
  • 12
    • 0011877569 scopus 로고
    • Renormalization-group analysis of a noisy Kuramoto-Sivashinsky equation
    • R. Cuerno, and K.B. Lauritsen Renormalization-group analysis of a noisy Kuramoto-Sivashinsky equation Physical Review E 52 1995 4853 4859
    • (1995) Physical Review e , vol.52 , pp. 4853-4859
    • Cuerno, R.1    Lauritsen, K.B.2
  • 13
    • 0000200873 scopus 로고
    • Stochastic model for surface erosion via ion sputtering: Dynamical evolution from ripple morphology to rough morphology
    • R. Cuerno, H.A. Makse, S. Tomassone, S.T. Harrington, and H.E. Stanley Stochastic model for surface erosion via ion sputtering: Dynamical evolution from ripple morphology to rough morphology Physical Review Letters 75 1995 4464 4467
    • (1995) Physical Review Letters , vol.75 , pp. 4464-4467
    • Cuerno, R.1    Makse, H.A.2    Tomassone, S.3    Harrington, S.T.4    Stanley, H.E.5
  • 14
    • 0000862893 scopus 로고    scopus 로고
    • Numerical analysis of the noisy Kuramoto-Sivashinsky equation in 2 + 1 dimensions
    • J.T. Drotar, Y.P. Zhao, T.M. Lu, and G.C. Wang Numerical analysis of the noisy Kuramoto-Sivashinsky equation in 2 + 1 dimensions Physical Review E 59 1999 177 185
    • (1999) Physical Review e , vol.59 , pp. 177-185
    • Drotar, J.T.1    Zhao, Y.P.2    Lu, T.M.3    Wang, G.C.4
  • 15
    • 0035314229 scopus 로고    scopus 로고
    • On the stochastic Kuramoto-Sivashinsky equation
    • J.Q. Duan, and V.J. Ervin On the stochastic Kuramoto-Sivashinsky equation Nonlinear Analysis 44 2001 205 216
    • (2001) Nonlinear Analysis , vol.44 , pp. 205-216
    • Duan, J.Q.1    Ervin, V.J.2
  • 17
    • 36448998595 scopus 로고
    • Theoretical foundations of dynamical Monte Carlo simulations
    • K.A. Fichthorn, and W.H. Weinberg Theoretical foundations of dynamical Monte Carlo simulations Journal of Chemical Physics 95 1991 1090 1096
    • (1991) Journal of Chemical Physics , vol.95 , pp. 1090-1096
    • Fichthorn, K.A.1    Weinberg, W.H.2
  • 18
    • 0017030517 scopus 로고
    • A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
    • D.T. Gillespie A general method for numerically simulating the stochastic time evolution of coupled chemical reactions Journal of Computational Physics 22 1976 403 434
    • (1976) Journal of Computational Physics , vol.22 , pp. 403-434
    • Gillespie, D.T.1
  • 21
    • 0021892288 scopus 로고
    • Nonlinear instability at the interface between two viscous fluids
    • A.P. Hooper, and R. Grimshaw Nonlinear instability at the interface between two viscous fluids Physics Fluids 28 1985 37 45
    • (1985) Physics Fluids , vol.28 , pp. 37-45
    • Hooper, A.P.1    Grimshaw, R.2
  • 24
    • 0035917733 scopus 로고    scopus 로고
    • A kinetic Monte Carlo simulation of chemical vapor deposition: Non-monotonic variation of surface roughness with growth temperature
    • M. Kalke, and D.V. Baxter A kinetic Monte Carlo simulation of chemical vapor deposition: Non-monotonic variation of surface roughness with growth temperature Surface Science 477 2001 95 101
    • (2001) Surface Science , vol.477 , pp. 95-101
    • Kalke, M.1    Baxter, D.V.2
  • 26
    • 36448998938 scopus 로고
    • Self-consistent simulation of sputter-deposition with the Monte-Carlo method
    • A. Kersch, W. Morokoff, and C. Werner Self-consistent simulation of sputter-deposition with the Monte-Carlo method Journal of Applied Physics 75 1994 2278 2285
    • (1994) Journal of Applied Physics , vol.75 , pp. 2278-2285
    • Kersch, A.1    Morokoff, W.2    Werner, C.3
  • 27
    • 0001149866 scopus 로고    scopus 로고
    • Noisy Kuramote-Sivashinsky equation for an erosion model
    • K.B. Lauritsen, R. Cuerno, and H.A. Makse Noisy Kuramote-Sivashinsky equation for an erosion model Physical Review E 54 1996 3577 3580
    • (1996) Physical Review e , vol.54 , pp. 3577-3580
    • Lauritsen, K.B.1    Cuerno, R.2    Makse, H.A.3
  • 28
    • 0035254396 scopus 로고    scopus 로고
    • Stability enhancement by boundary control in the Kuramoto-Sivashinsky equation
    • W.-J. Liu, and M. Krstić Stability enhancement by boundary control in the Kuramoto-Sivashinsky equation Nonlinear Analysis: Theory, Methods & Applications 43 2001 485 507
    • (2001) Nonlinear Analysis: Theory, Methods & Applications , vol.43 , pp. 485-507
    • Liu, W.-J.1    Krstić, M.2
  • 29
    • 0037962061 scopus 로고    scopus 로고
    • Estimation and control of surface roughness in thin film growth using kinetic Monte-Carlo models
    • Y. Lou, and P.D. Christofides Estimation and control of surface roughness in thin film growth using kinetic Monte-Carlo models Chemical Engineering Science 58 2003 3115 3129
    • (2003) Chemical Engineering Science , vol.58 , pp. 3115-3129
    • Lou, Y.1    Christofides, P.D.2
  • 30
    • 0038068807 scopus 로고    scopus 로고
    • Feedback control of growth rate and surface roughness in thin film growth
    • Y. Lou, and P.D. Christofides Feedback control of growth rate and surface roughness in thin film growth A.I.Ch.E Journal 49 2003 2099 2113
    • (2003) A.I.Ch.E Journal , vol.49 , pp. 2099-2113
    • Lou, Y.1    Christofides, P.D.2
  • 31
    • 0141638523 scopus 로고    scopus 로고
    • Optimal actuator/sensor placement for nonlinear control of the Kuramoto-Sivashinsky equation
    • Y. Lou, and P.D. Christofides Optimal actuator/sensor placement for nonlinear control of the Kuramoto-Sivashinsky equation IEEE Transactions on Control Systems Technology 11 2003 737 745
    • (2003) IEEE Transactions on Control Systems Technology , vol.11 , pp. 737-745
    • Lou, Y.1    Christofides, P.D.2
  • 32
    • 8744309471 scopus 로고    scopus 로고
    • Feedback control of surface roughness of GaAs(0 0 1) thin films using kinetic Monte-Carlo models
    • in press.
    • Lou, Y., & Christofides, P. D. (2004). Feedback control of surface roughness of GaAs(0 0 1) thin films using kinetic Monte-Carlo models. Computers & Chemical Engineering, in press.
    • (2004) Computers & Chemical Engineering
    • Lou, Y.1    Christofides, P.D.2
  • 33
    • 12244249188 scopus 로고    scopus 로고
    • Feedback control of surface roughness using stochastic PDEs
    • in press.
    • Lou, Y., & Christofides, P. D. (2004). Feedback control of surface roughness using stochastic PDEs. AIChE Journal, in press.
    • (2004) AIChE Journal
    • Lou, Y.1    Christofides, P.D.2
  • 34
    • 0037162264 scopus 로고    scopus 로고
    • "coarse" stability and bifurcation analysis using stochastic simulators: Kinetic Monte Carlo examples
    • A.G. Makeev, D. Maroudas, and I.G. Kevrekidis "Coarse" stability and bifurcation analysis using stochastic simulators: Kinetic Monte Carlo examples Journal of Chemical Physics 116 2002 10083 10091
    • (2002) Journal of Chemical Physics , vol.116 , pp. 10083-10091
    • Makeev, A.G.1    Maroudas, D.2    Kevrekidis, I.G.3
  • 36
    • 15944425915 scopus 로고    scopus 로고
    • Dynamics and control of thin film microstructure in a complex deposition process
    • in press.
    • Ni, D., & Christofides, P. D. (2004). Dynamics and control of thin film microstructure in a complex deposition process. Chemical Engineering Science, in press.
    • (2004) Chemical Engineering Science
    • Ni, D.1    Christofides, P.D.2
  • 37
    • 13444251450 scopus 로고    scopus 로고
    • Construction of Stochastic PDEs for feedback control of surface roughness in thin film deposition
    • submitted for publication.
    • Ni, D., & Christofides, P. D. (2005). Construction of Stochastic PDEs for feedback control of surface roughness in thin film deposition. International Journal of Robust & Nonlinear Control, submitted for publication.
    • (2005) International Journal of Robust & Nonlinear Control
    • Ni, D.1    Christofides, P.D.2
  • 39
    • 0001066994 scopus 로고
    • Roughness spectrum and surface width of self-affine fractal surfaces via the K-correlation model
    • G. Palasantzas Roughness spectrum and surface width of self-affine fractal surfaces via the K -correlation model Physical Review B 48 1993 14472 14478
    • (1993) Physical Review B , vol.48 , pp. 14472-14478
    • Palasantzas, G.1
  • 41
    • 0035841075 scopus 로고    scopus 로고
    • Monte Carlo algorithms for complex surface reaction mechanisms: Efficiency and accuracy
    • J.S. Reese, S. Raimondeau, and D.G. Vlachos Monte Carlo algorithms for complex surface reaction mechanisms: Efficiency and accuracy Journal of Computational Physics 173 2001 302 321
    • (2001) Journal of Computational Physics , vol.173 , pp. 302-321
    • Reese, J.S.1    Raimondeau, S.2    Vlachos, D.G.3
  • 43
  • 44
    • 0000143169 scopus 로고
    • Step-density variations and reflection high-energy electron-diffraction intensity oscillations during epitaxial growth on vicinal GaAs(0 0 1)
    • T. Shitara, D.D. Vvedensky, M.R. Wilby, J. Zhang, J.H. Neave, and B.A. Joyce Step-density variations and reflection high-energy electron-diffraction intensity oscillations during epitaxial growth on vicinal GaAs(0 0 1) Physical Review B 46 1992 6815 6824
    • (1992) Physical Review B , vol.46 , pp. 6815-6824
    • Shitara, T.1    Vvedensky, D.D.2    Wilby, M.R.3    Zhang, J.4    Neave, J.H.5    Joyce, B.A.6
  • 45
    • 4243683853 scopus 로고
    • Solid-on-solid models of molecular-beam epitaxy
    • M. Siegert, and M. Plischke Solid-on-solid models of molecular-beam epitaxy Physical Review E 50 1994 917 931
    • (1994) Physical Review e , vol.50 , pp. 917-931
    • Siegert, M.1    Plischke, M.2
  • 46
    • 0038824886 scopus 로고    scopus 로고
    • Microscopic/stochastic timesteppers and "coarse" control: A kMC example
    • C.I. Siettos, A. Armaou, A.G. Makeev, and I.G. Kevrekidis Microscopic/stochastic timesteppers and "coarse" control: A kMC example AIChE Journal 49 2003 1922 1926
    • (2003) AIChE Journal , vol.49 , pp. 1922-1926
    • Siettos, C.I.1    Armaou, A.2    Makeev, A.G.3    Kevrekidis, I.G.4
  • 48
    • 0017554878 scopus 로고
    • Nonlinear analysis of hydrodynamic instability in laminar flames. I. Derivation of basic equations
    • G.I. Sivashinsky Nonlinear analysis of hydrodynamic instability in laminar flames. I. Derivation of basic equations Acta Astronautica 4 1977 1177 1206
    • (1977) Acta Astronautica , vol.4 , pp. 1177-1206
    • Sivashinsky, G.I.1
  • 49
    • 0000762126 scopus 로고    scopus 로고
    • Surface-morphology evolution during unstable homoepitaxial growth of GaAs(1 1 0)
    • P. Tejedor, P. Šmilauer, C. Roberts, and B.A. Joyce Surface-morphology evolution during unstable homoepitaxial growth of GaAs(1 1 0) Physical Review B 59 1999 2341 2345
    • (1999) Physical Review B , vol.59 , pp. 2341-2345
    • Tejedor, P.1    Šmilauer, P.2    Roberts, C.3    Joyce, B.A.4
  • 52
    • 0001776828 scopus 로고
    • Continuum models of crystal growth from atomic beams with and without desorption
    • J. Villain Continuum models of crystal growth from atomic beams with and without desorption Journal of Physics I 1 1991 19 42
    • (1991) Journal of Physics I , vol.1 , pp. 19-42
    • Villain, J.1
  • 53
    • 0035449005 scopus 로고    scopus 로고
    • Fundamental processes in Si/Si and Ge/Si studied by scanning tunneling microscopy during growth
    • B. Voigtländer Fundamental processes in Si/Si and Ge/Si studied by scanning tunneling microscopy during growth Surface Science Reports 43 2001 127 254
    • (2001) Surface Science Reports , vol.43 , pp. 127-254
    • Voigtländer, B.1
  • 54
    • 4143138757 scopus 로고    scopus 로고
    • Edwards-Wilkinson equation from lattice transition rules
    • D.D. Vvedensky Edwards-Wilkinson equation from lattice transition rules Physical Review E 67 2003 025102(R)
    • (2003) Physical Review e , vol.67
    • Vvedensky, D.D.1
  • 56
    • 0035794374 scopus 로고    scopus 로고
    • Ultraviolet-extended real-time spectroscopic ellipsometry for characterization of phase evolution in BN thin films
    • J.A. Zapien, R. Messier, and R.W. Collin Ultraviolet-extended real-time spectroscopic ellipsometry for characterization of phase evolution in BN thin films Applied Physics Letters 78 2001 1982 1984
    • (2001) Applied Physics Letters , vol.78 , pp. 1982-1984
    • Zapien, J.A.1    Messier, R.2    Collin, R.W.3
  • 57
    • 0000175360 scopus 로고
    • Kinetic phase transitions in an irreversible surface-reaction model
    • R.M. Ziff, E. Gulari, and Y. Barshad Kinetic phase transitions in an irreversible surface-reaction model Physical Review Letters 56 1986 2553 2556
    • (1986) Physical Review Letters , vol.56 , pp. 2553-2556
    • Ziff, R.M.1    Gulari, E.2    Barshad, Y.3


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