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Volumn 12, Issue 1, 2002, Pages 204-214

Pattern formation on anisotropic and heterogeneous catalytic surfaces

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EID: 0036489721     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1450565     Document Type: Article
Times cited : (36)

References (69)
  • 1
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • M.C. Cross and P.C. Hohenberg, "Pattern formation outside of equilibrium," Rev. Mod. Phys. 65, 851 (1993).
    • (1993) Rev. Mod. Phys. , vol.65 , pp. 851
    • Cross, M.C.1    Hohenberg, P.C.2
  • 2
    • 5544291532 scopus 로고
    • Convection instabilities in nematic liquid crystals
    • L. Kramer and W. Pesch, "Convection instabilities in nematic liquid crystals," Annu. Rev. Fluid Mech. 27, 515 (1995).
    • (1995) Annu. Rev. Fluid Mech. , vol.27 , pp. 515
    • Kramer, L.1    Pesch, W.2
  • 3
    • 3743127068 scopus 로고
    • Oscillatory kinetics in heterogeneous catalysis
    • R. Imbihl and G. Ertl, "Oscillatory kinetics in heterogeneous catalysis," Chem. Rev. 95, 697 (1995).
    • (1995) Chem. Rev. , vol.95 , pp. 697
    • Imbihl, R.1    Ertl, G.2
  • 4
    • 0001057641 scopus 로고    scopus 로고
    • Formation of chevrons in the dielectric regime of electroconvection in nematic liquid crystals
    • M. Scheuring, L. Kramer, and J. Peinke, "Formation of chevrons in the dielectric regime of electroconvection in nematic liquid crystals," Phys. Rev. E 58, 2018 (1998).
    • (1998) Phys. Rev. E , vol.58 , pp. 2018
    • Scheuring, M.1    Kramer, L.2    Peinke, J.3
  • 5
    • 0001556764 scopus 로고    scopus 로고
    • Phase chaos in the anisotropic complex Ginzburg-Landau equation
    • R. Faller and L. Kramer, "Phase chaos in the anisotropic complex Ginzburg-Landau equation," Phys. Rev. E 57, 6249 (1998).
    • (1998) Phys. Rev. E , vol.57 , pp. 6249
    • Faller, R.1    Kramer, L.2
  • 7
    • 0001572908 scopus 로고
    • Formation of shocks and breakup of wave patterns in anisotropic excitable media
    • A.S. Mikhailov, "Formation of shocks and breakup of wave patterns in anisotropic excitable media," Phys. Rev. E 49, 5875 (1994).
    • (1994) Phys. Rev. E , vol.49 , pp. 5875
    • Mikhailov, A.S.1
  • 10
    • 0031091578 scopus 로고    scopus 로고
    • Heart muscle as a reaction-diffusion medium: The roles of electric potential diffusion, activation front curvature, and anisotropy
    • A.T. Winfree, "Heart muscle as a reaction-diffusion medium: The roles of electric potential diffusion, activation front curvature, and anisotropy," Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, 784 (1997).
    • (1997) Int. J. Bifurcation Chaos Appl. Sci. Eng. , vol.7 , pp. 784
    • Winfree, A.T.1
  • 14
    • 0001313704 scopus 로고    scopus 로고
    • Stratified spatiotemporal chaos in anisotropic reaction-diffusion systems
    • M. Bär, A. Hagberg, E. Meron, and U. Thiele, "Stratified spatiotemporal chaos in anisotropic reaction-diffusion systems," Phys. Rev. Lett. 83, 2664 (1999); "Front propagation and pattern formation in anisotropic bistable media," Phys. Rev. E 62, 366 (2000).
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 2664
    • Bär, M.1    Hagberg, A.2    Meron, E.3    Thiele, U.4
  • 15
    • 0242538495 scopus 로고    scopus 로고
    • Front propagation and pattern formation in anisotropic bistable media
    • M. Bär, A. Hagberg, E. Meron, and U. Thiele, "Stratified spatiotemporal chaos in anisotropic reaction-diffusion systems," Phys. Rev. Lett. 83, 2664 (1999); "Front propagation and pattern formation in anisotropic bistable media," Phys. Rev. E 62, 366 (2000).
    • (2000) Phys. Rev. E , vol.62 , pp. 366
  • 16
    • 35949006727 scopus 로고
    • Lamellar structures and self-replicating spots in a reaction-diffusion systems
    • K.J. Lee and H.L. Swinney, "Lamellar structures and self-replicating spots in a reaction-diffusion systems," Phys. Rev. E 51, 1899 (1995).
    • (1995) Phys. Rev. E , vol.51 , pp. 1899
    • Lee, K.J.1    Swinney, H.L.2
  • 17
    • 0001398679 scopus 로고    scopus 로고
    • Transitions in two-dimensional patterns in a ferrocyanide-iodate-sulfite reaction
    • G. Li, Q. Quyang, and H.L. Swinney, "Transitions in two-dimensional patterns in a ferrocyanide-iodate-sulfite reaction," J. Chem. Phys. 105, 10830 (1996).
    • (1996) J. Chem. Phys. , vol.105 , pp. 10830
    • Li, G.1    Quyang, Q.2    Swinney, H.L.3
  • 18
    • 12044249583 scopus 로고
    • From labyrinthine patterns to spiral turbulence
    • A. Hagberg and E. Meron, "From labyrinthine patterns to spiral turbulence," Phys. Rev. Lett. 72, 2494 (1994).
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 2494
    • Hagberg, A.1    Meron, E.2
  • 19
    • 0041111359 scopus 로고
    • Complex patterns in reaction-diffusion systems: A tale of two front instabilities
    • A. Hagberg and E. Meron, "Complex patterns in reaction-diffusion systems: A tale of two front instabilities," Chaos 4, 477 (1994).
    • (1994) Chaos , vol.4 , pp. 477
    • Hagberg, A.1    Meron, E.2
  • 20
    • 0000653552 scopus 로고
    • Global bifurcation phenomena of traveling wave solutions for some bistable reaction-diffusion system
    • H. Ikeda, M. Mimura, and Y. Nishiura, "Global bifurcation phenomena of traveling wave solutions for some bistable reaction-diffusion system," Nonl. Anal. TMA 13, 507 (1989).
    • (1989) Nonl. Anal. TMA , vol.13 , pp. 507
    • Ikeda, H.1    Mimura, M.2    Nishiura, Y.3
  • 21
    • 0000085224 scopus 로고
    • Pattern formation in nongradient reaction-diffusion systems - The effects of front bifurcation
    • A. Hagberg and E. Meron, "Pattern formation in nongradient reaction-diffusion systems-the effects of front bifurcation," Nonlinearity 7, 805 (1994).
    • (1994) Nonlinearity , vol.7 , pp. 805
    • Hagberg, A.1    Meron, E.2
  • 22
    • 21344491318 scopus 로고
    • Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media
    • J.X. Xin, "Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media," J. Stat. Phys. 73. 893 (1993).
    • (1993) J. Stat. Phys. , vol.73 , pp. 893
    • Xin, J.X.1
  • 23
    • 0001400890 scopus 로고
    • Bifurcations of front dynamics in reaction-diffusion systems with spatial inhomogeneities
    • P. Schütz, M. Bode, and H.-G. Purwins, "Bifurcations of front dynamics in reaction-diffusion systems with spatial inhomogeneities," Physica D 82, 382 (1995).
    • (1995) Physica D , vol.82 , pp. 382
    • Schütz, P.1    Bode, M.2    Purwins, H.-G.3
  • 24
    • 0031207518 scopus 로고    scopus 로고
    • Front-bifurcations in reaction-diffusion systems with inhomogeneous parameter distributions
    • M. Bode, "Front-bifurcations in reaction-diffusion systems with inhomogeneous parameter distributions," Physica D 106, 270 (1997).
    • (1997) Physica D , vol.106 , pp. 270
    • Bode, M.1
  • 27
    • 0001271933 scopus 로고    scopus 로고
    • Turing pattern formation in heterogeneous media
    • J.P. Voroney, A. Lawniczak, and R. Kapral, "Turing pattern formation in heterogeneous media," Physica D 99, 303 (1996).
    • (1996) Physica D , vol.99 , pp. 303
    • Voroney, J.P.1    Lawniczak, A.2    Kapral, R.3
  • 28
    • 44949273640 scopus 로고
    • Chemical waves in inhomogeneous excitable media
    • J. Maselko and K. Showalter, "Chemical waves in inhomogeneous excitable media," Physica D 49, 21 (1991).
    • (1991) Physica D , vol.49 , pp. 21
    • Maselko, J.1    Showalter, K.2
  • 29
    • 3743058188 scopus 로고
    • Commensurate and incommensurate structures in a nonequilibrium system
    • M. Lowe, J.P. Gollub, and T.C. Lubensky, "Commensurate and incommensurate structures in a nonequilibrium system," Phys. Rev. Lett. 51, 786 (1983).
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 786
    • Lowe, M.1    Gollub, J.P.2    Lubensky, T.C.3
  • 30
    • 0001240039 scopus 로고
    • Time dependent convection induced by broken spatial symmetries
    • G. Hartung, F.H. Busse, and I. Rehberg, "Time dependent convection induced by broken spatial symmetries," Phys. Rev. Lett. 66, 2742 (1991).
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 2742
    • Hartung, G.1    Busse, F.H.2    Rehberg, I.3
  • 31
    • 0009905517 scopus 로고    scopus 로고
    • Hopf bifurcation by frustrated drifts
    • R. Schmitz and W. Zimmermann, "Hopf bifurcation by frustrated drifts," Phys. Rev. E 53, R1321 (1996).
    • (1996) Phys. Rev. E , vol.53
    • Schmitz, R.1    Zimmermann, W.2
  • 32
    • 0032298011 scopus 로고    scopus 로고
    • Pattern formation in an inhomogeneous environment
    • W. Zimmermann, B. Painter, and R. Behringer, "Pattern formation in an inhomogeneous environment," Eur. Phys. J. B 5, 757 (1998).
    • (1998) Eur. Phys. J. B , vol.5 , pp. 757
    • Zimmermann, W.1    Painter, B.2    Behringer, R.3
  • 33
    • 0000242583 scopus 로고
    • Injection induced bifurcation of transverse spatiotemporal patterns in semiconductor-laser arrays
    • D. Merbach, O. Hess, H. Herzel, and E. Schöll, "Injection induced bifurcation of transverse spatiotemporal patterns in semiconductor-laser arrays," Phys. Rev. E 52, 1571 (1995).
    • (1995) Phys. Rev. E , vol.52 , pp. 1571
    • Merbach, D.1    Hess, O.2    Herzel, H.3    Schöll, E.4
  • 34
    • 21544438058 scopus 로고    scopus 로고
    • Composite catalyst surfaces: Effect of inert and active heterogeneities on pattern formation
    • M. Bär, A.K. Bangia, I.G. Kevrekidis, G. Haas, H.H. Rotermund, and G. Ertl, "Composite catalyst surfaces: Effect of inert and active heterogeneities on pattern formation," J. Phys. Chem. 100, 19106 (1996).
    • (1996) J. Phys. Chem. , vol.100 , pp. 19106
    • Bär, M.1    Bangia, A.K.2    Kevrekidis, I.G.3    Haas, G.4    Rotermund, H.H.5    Ertl, G.6
  • 37
    • 0005194250 scopus 로고
    • Modification of spatiotemporal pattern formation in an excitable medium by continuous variation of its intrinsic properties: CO oxidation on Pt(110)
    • K. Asakura, J. Lauterbach, H.H. Rotermund, and G. Ertl, "Modification of spatiotemporal pattern formation in an excitable medium by continuous variation of its intrinsic properties: CO oxidation on Pt(110)," Phys. Rev. B 50, 8043 (1994).
    • (1994) Phys. Rev. B , vol.50 , pp. 8043
    • Asakura, K.1    Lauterbach, J.2    Rotermund, H.H.3    Ertl, G.4
  • 38
    • 0001411875 scopus 로고
    • Spatiotemporal concentration patterns associated with the catalytic oxidation of CO on Au covered Pt(110)
    • K. Asakura, J. Lauterbach, H.H. Rotermund, and G. Ertl, "Spatiotemporal concentration patterns associated with the catalytic oxidation of CO on Au covered Pt(110)," J. Chem. Phys. 102, 8175 (1995).
    • (1995) J. Chem. Phys. , vol.102 , pp. 8175
    • Asakura, K.1    Lauterbach, J.2    Rotermund, H.H.3    Ertl, G.4
  • 39
    • 0028842568 scopus 로고
    • Anisotropy and spiral organizing centers in patterned excitable media
    • O. Steinbock, P. Kettunen, and K. Showalter, "Anisotropy and spiral organizing centers in patterned excitable media," Science 269, 1857 (1995).
    • (1995) Science , vol.269 , pp. 1857
    • Steinbock, O.1    Kettunen, P.2    Showalter, K.3
  • 41
    • 0001039818 scopus 로고    scopus 로고
    • Pattern formation on a nonuniformly active ring
    • M. Liauw, J. Ning, and D. Luss, "Pattern formation on a nonuniformly active ring," J. Chem. Phys. 104, 5657 (1996).
    • (1996) J. Chem. Phys. , vol.104 , pp. 5657
    • Liauw, M.1    Ning, J.2    Luss, D.3
  • 49
    • 0001764472 scopus 로고
    • Dynamic front transition and spiral-vortex nucleation
    • C. Elphick, A. Hagberg, and E. Meron, "Dynamic front transition and spiral-vortex nucleation," Phys. Rev. E 51, 3052 (1995).
    • (1995) Phys. Rev. E , vol.51 , pp. 3052
    • Elphick, C.1    Hagberg, A.2    Meron, E.3
  • 52
    • 0346057259 scopus 로고    scopus 로고
    • Homogenization and propagation in the bistable equation
    • J.P. Keener, "Homogenization and propagation in the bistable equation," Physica D 136, 1 (2000).
    • (2000) Physica D , vol.136 , pp. 1
    • Keener, J.P.1
  • 53
    • 0034456883 scopus 로고    scopus 로고
    • Wave-block in excitable media due to regions of depressed excitability
    • T.J. Lewis and J.P. Keener, "Wave-block in excitable media due to regions of depressed excitability," SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 61, 293 (2000).
    • (2000) SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. , vol.61 , pp. 293
    • Lewis, T.J.1    Keener, J.P.2
  • 54
    • 0034456182 scopus 로고    scopus 로고
    • Propagation of waves in au excitable medium with discrete release sites
    • J.P. Keener, "Propagation of waves in au excitable medium with discrete release sites," SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 61, 313 (2000).
    • (2000) SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. , vol.61 , pp. 313
    • Keener, J.P.1
  • 56
    • 0034640568 scopus 로고    scopus 로고
    • Discrete stochastic modeling of calcium channel dynamics
    • M. Bär, M. Falcke, H. Levine, and L. Tsimring, "Discrete stochastic modeling of calcium channel dynamics," Phys. Rev. Lett. 84, 5664 (2000).
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 5664
    • Bär, M.1    Falcke, M.2    Levine, H.3    Tsimring, L.4
  • 58
    • 11544252295 scopus 로고    scopus 로고
    • Tunable pinning of burst waves in extended systems with discrete sources
    • I. Mitkov, K. Kladko, and J.E. Pearson, "Tunable pinning of burst waves in extended systems with discrete sources," Phys. Rev. Lett. 81, 5453 (1998).
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 5453
    • Mitkov, I.1    Kladko, K.2    Pearson, J.E.3
  • 59
    • 0039172586 scopus 로고    scopus 로고
    • One- and two-dimensional wave fronts in diffusive systems with discrete sets of nonlinear sources
    • I. Mitkov, "One- and two-dimensional wave fronts in diffusive systems with discrete sets of nonlinear sources," Physica D 133, 398 (1999).
    • (1999) Physica D , vol.133 , pp. 398
    • Mitkov, I.1
  • 60
    • 0032868205 scopus 로고    scopus 로고
    • The effect of heterogeneously-distributed RyR channels on calcium dynamics in cardiac myocytes
    • P. Spiro and H.G. Othmer, "The effect of heterogeneously-distributed RyR channels on calcium dynamics in cardiac myocytes," Bull. Math. Biol. 61, 651 (1999).
    • (1999) Bull. Math. Biol. , vol.61 , pp. 651
    • Spiro, P.1    Othmer, H.G.2
  • 61
    • 0032568107 scopus 로고    scopus 로고
    • Surface-induced structure formation of polymer blends on patterned substrates
    • M. Böltau, S. Walheim, J. Mlynek, G. Krausch, and U. Steiner, "Surface-induced structure formation of polymer blends on patterned substrates," Nature (London) 391, 877 (1998).
    • (1998) Nature (London) , vol.391 , pp. 877
    • Böltau, M.1    Walheim, S.2    Mlynek, J.3    Krausch, G.4    Steiner, U.5
  • 62
    • 0033451726 scopus 로고    scopus 로고
    • Fabrication of highly oriented nanocluster arrays by biomolecular templating
    • M. Mertig, R. Kirsch, W. Pompe, and H. Engelhardt, "Fabrication of highly oriented nanocluster arrays by biomolecular templating," Eur. Phys. J. D 9, 45 (1999).
    • (1999) Eur. Phys. J. D , vol.9 , pp. 45
    • Mertig, M.1    Kirsch, R.2    Pompe, W.3    Engelhardt, H.4
  • 64
    • 0035856978 scopus 로고    scopus 로고
    • Hierarchical self-assembly of metal nanostructures on diblock copolymer scaffolds
    • W.A. Lopes and H.M. Jaeger, "Hierarchical self-assembly of metal nanostructures on diblock copolymer scaffolds," Nature (London) 414, 735 (2001).
    • (2001) Nature (London) , vol.414 , pp. 735
    • Lopes, W.A.1    Jaeger, H.M.2
  • 65
    • 0000104024 scopus 로고    scopus 로고
    • Pattern formation in unstable thin liquid films
    • R. Khanna and A. Sharma, "Pattern formation in unstable thin liquid films," Phys. Rev. Lett. 81, 3463 (1998).
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 3463
    • Khanna, R.1    Sharma, A.2
  • 67
    • 0032512481 scopus 로고    scopus 로고
    • Triangular shaped reaction fronts in a catalytic surface reaction
    • A. Schaak and R. Imbihl, "Triangular shaped reaction fronts in a catalytic surface reaction," Chem. Phys. Lett. 283, 386 (1998).
    • (1998) Chem. Phys. Lett. , vol.283 , pp. 386
    • Schaak, A.1    Imbihl, R.2


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