Abstract
The present paper reviews recent achievements in studies of nonlinear phenomena in heterogeneous catalytic systems. The results concerning the multiplicity of steady states, reaction rate oscillations, and spatial structures on the catalyst surface were presented. The use of new physical methods in studies of reaction rate oscillations were discussed. New mathematical models of nonlinear phenomena in heterogeneous catalytic systems were analyzed, and their importance for heterogeneous catalysis was shown.
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REFERENCES
Slin’ko, M.G., Osnovy i printsipy matematicheskogo modelirovaniya kataliticheskikh protsessov (Basics and Principles of Mathematical Simulation of Catalytic Processes), Novosibirsk: Boreskov Institute of Catalysis SB RAS, 2004.
Boreskov, G.K., Geterogennyi kataliz v khimicheskoi promyshlennosti. Materialy Vsesoyuznogo soveshchaniya (Heterogeneous Catalysis in Chemical Industry. Materials of All-Union Workshop), Moscow: Goskhimizdat, 1955.
Boreskov, G.K., Slin’ko, M.G., and Filippova, A.G., Dokl. Akad. Nauk SSSR, 1953, vol. 92, no. 2, p. 293.
Slin’ko, M.G., Beskov, V.S., and Dubyaga, N.A., Dokl. Akad. Nauk SSSR, 1972, vol. 204, no. 4, p. 1174.
Beusch, H., Fieguth, P., and Wicke, E., Chem. Ing. Tech., 1972, vol. 44, p. 445.
Belyaev, V.D., Slin’ko, M.M., Timoshenko, V.I., and Slin’ko, M.G., Kinet. Katal., 1973, vol. 14, p. 810.
Barelko, V.V. and Merzhanov, A.G., Problemy kinetiki i kataliza. Nestatsionarnye i neravnovesnye protsessy v geterogennom katalize (Problems of Kinetics and Catalysis. Stady and Non-Steady Processes in Heterogeneous Catalysis), Moscow: Nauka, 1973, vol. 17, p. 182.
Imbihl, R. and Ertl, G., Chem. Rev., 1995, vol. 95, p. 697.
Slinko, M.M. and Jaeger, N.I. Oscillating Heterogeneous Catalytic Systems, Delmon, B. and Yates, J.T., Eds., Elsevier, 1994, vol. 86.
Luss, D. and Sheintuch, M., Catal. Today, 2005, vol. 105, p. 254.
Imbihl, R., Non-linear Dynamics in Catalytic Reactions. Handbook of Surface Science, Amsterdam: Elsevier, 2008.
Raj, R., Harold, M.P., and Balakotaiah, V., Chem. Eng. J., 2015, vol. 281, p. 322.
Berdau, M., Karpowicz, A., Yelenin, G.G., Christmann, K., and Block, J.H., J. Chem. Phys., 1997, vol. 106, p. 4291.
Rotermund, H.H., J. Electron Spectrosc. Relat. Phenom., 1999, vols. 98–99, p. 41.
Suchorski, Y., Spiel, C., Vogel, D., Drachsel, W., Schlőgl, R., and Rupprechter, G., ChemPhysChem, 2010, vol. 11, p. 3231.
Vogel, D., Spiel, C., Suchorski, Y., Urich, A., Schlögl, R., and Rupprechter, G., Surf. Sci., 2011, vol. 605, p. 1999.
Spiel, C., Vogel, D., Schlögl, R., Rupprechter, G., and Suchorski, Y., Ultramicroscopy, 2015, vol. 159, p. 178.
Johánek, V., Laurin, M., Grant, A.W., Kasemo, B., Henry, C.R., and Libuda, J., Science, 2004, vol. 304, p. 1639.
Frank-Kamenetskii, D.A., Diffuziya i teploperedacha v khimicheskoi kinetike (Diffusion and Heat Transfer in Chemical Kinetics), Moscow: Nauka, 1967.
Bos, A.N.R., Hof, E., Kuper, W., and Westerterp, K.R., Chem. Eng. Sci., 1993, vol. 48, p. 1959.
Koutoufaris, I. and Koltsakis, G., Can. J. Chem. Eng., 2014, vol. 92, p. 1561.
Fuchs, S. and Hahn, T., Chem. Eng. Process., 1993, vol. 32, p. 225.
Fuchs, S., Hahn, T., and Lintz, H.G., Chem. Eng. Process., 1994, vol. 33, p. 363.
Fernandes, V.R., Bossche, M., Knudsen, J., Farstad, M.H., Gustafson, J., Venvik, H.J., Grönbeck, H., and Borg, A., ACS Catal., 2016, vol. 6, p. 4154.
Abedi, A., Hayes, R., Votsmeier, M., and Epling, W.S., Catal. Lett., 2012, vol. 142, p. 930.
Kota, A.S., Dadi, R.K., Luss, D., and Balakotaiah, V., Chem. Eng. Sci., 2017, vol. 166, p. 320.
Raj, R., Harold, M.P., and Balakotaiah, V., Chem. Eng. J., 2015, vol. 281, p. 322.
Li, J., Kumar, A., Kamasamudram, K., Currier, N., and Yezerets, A., Catal. Today, 2015, vol. 258, p. 167.
Slinko, M.M. and Jaeger, N., Appendix – Oscillatory heterogeneous catalytic systems, Catal. Today, 2005, vol. 105, p. I-II.
Bychkov, V.Yu., Tulenin, Yu.P., Slinko, M.M., Gordienko, Yu.A., and Korchak, V.N., Catal. Lett., 2018, vol. 148, p. 653.
Bychkov V.Yu., Tulenin Yu.P., Slinko M.M., Gorenberg A.Ya., Shashkin D.P., Korchak V.N., React. Kin. Mech. Catal., 2019, vol. 128, p. 587.
Bychkov, V.Yu., Tulenin, Yu.P., Gorenberg, A.Ya., and Korchak, V.N., React. Kin. Mech. Catal., 2020, vol. 129, p. 57.
Liu, Y., Fang, W.P., Weng, W.Z., and Wan, H.L., J. Mol. Catal. A: Chem., 2005, vol. 239, p. 193.
Wang, M., Weng, W., Zheng, H., Yi, X., Huang, C., and Wan, H., J. Nat. Gas Chem., 2009, vol. 18, p. 300.
Bychkov, V.Y., Tyulenin, Y.P., Slinko, M.M., and Korchak, V.N., Catal. Lett., 2007, vol. 119, p. 339.
Bychkov, V.Y., Tyulenin, Y.P., Slinko, M.M., and Korchak, V.N., Surf. Sci., 2009, vol. 603, p. 1680.
Kokkofitis, C. and Stoukides, M., J. Catal., 2006, vol. 243, p. 428.
Bychkov, V.Y., Tyulenin, Y.P., Slinko, M.M., and Korchak, V.N., Catal. Lett., 2011, vol. 141, p. 602.
Bychkov, V.Y., Tyulenin, Y.P., Slinko, M.M., Lomonosov, V.I., and Korchak, V.N., Catal. Lett., 2018, vol. 148, p. 3646.
Bychkov, V.Yu., Tyulenin, Yu.P., Slinko, M.M., and Korchak, V.N., Proc. IX Int. Conf. “Mechanisms of Catalytic Reactions”, St. Petersburg, 2012, p. 165.
Barakat, T., Rooke, J.C., Chlala, D., Cousin, R., Lamonier, J.-F., Giraudon, J.-M., Casale, S., Massiani, P., Su, B.-L., and Siffert, S., Catalysts, 2018, vol. 8, p. 574.
Ouariach, O., Kacimi, M., and Ziyad, M., Appl. Catal., A, 2015, vol. 503, p. 84.
Kipnis, M.A. and Volnina, E.A., Kinet. Catal., 2013, vol. 54, no. 2, p. 225.
Abu-Zied, B. M. and Schwieger, W., Appl. Catal., B, 2009, vol. 85, p. 120.
Kaucký, D., Jíŝa, K., Vondrová, A., Nováková, J., and Sobalík, Z., J. Catal., 2006, vol. 242, p. 270.
Ciambelli, P., Garufi, E., Pirone, R., Russo, G., and Santagata, F., Appl. Catal., B, 1996, vol. 8, p. 333.
Toyoshima, I. and Somorjai, G.A., Catal. Rev. Sci. Eng., 1979, vol. 19, p. 105.
König, D., Weber, W.H., Poindexter, B.D., McBride, J.R., Graham, G.W., and Otto, K., Catal. Lett., 1994, vol. 29, p. 329.
Gladky, A.Y., Ermolaev, V.K., and Parmon, V.N., Catal. Lett., 2001, vol. 77, p. 103.
Bychkov, V.Yu., Tulenin, Yu.P., Slinko, M.M., Vturina, D.N., and Korchak, V.N., Russ. J. Phys. Chem. B., 2018, vol. 12, no. 5, p. 830.
Bychkov, V.Y., Tyulenin, Y.P., Korchak, V.N., and Aptekar, E.L., Appl. Catal., A, 2006, vol. 304, p. 21.
Saraev, A.A., Vinokurov, Z.S., Kaichev, V.V., Shmakov, A.N., and Bukhtiyarov, V.I., Catal. Sci. Technol., 2017, vol. 7, p. 1646.
Kaichev, V.V., Gladky, A.Y., Prosvirin, I.P., Saraev, A.A., Hävecker, M., Knop-Gericke, A., Schlögl, R., and Bukhtiyarov, V.I., Surf. Sci., 2013, vol. 609, p. 113.
Kaichev, V.V., Gladky, A.Y., Saraev, A.A., Kosolobov, S.S., Sherstyuk, O.V., and Bukhtiyarov, V.I., Top. Catal., 2020, vol. 63, p. 24.
Bychkov, V.Y., Tyulenin, Y.P., Slinko, M.M., Shashkin, D.P., and Korchak, V.N., J. Catal., 2009, vol. 267, p. 181.
Bychkov, V.Y., Tyulenin, Y.P., Slinko, M.M., Gorenberg, A.Ya., and Korchak, V.N., Catal. Lett., 2017, vol. 147, p. 2664.
Zhang, X., Hayward, D.O., and Mingos, D.M.P., Catal. Lett., 2002, vol. 83, p. 149.
Zhang, X., Lee, C.S.M., Mingos, D.M.P., and Hayward, D.O., Appl. Catal., A, 2003, vol. 248, p. 129.
Gladky, A.Y., Ermolaev, V.K., and Parmon, V.N., Catal. Lett., 2001, vol. 77, p. 103.
Saraev, A.A., Cand. Sci. (Phys.–Math.) Dissertation, Novosibirsk: Boreskov Institute of Catalysis, 2016.
Kaichev, V.V., Teschner, D., Saraev, A.A., Kosolobov, S.S., Gladky, A.Y., Prosvirin, I.P., Rudina, N.A., Ayupov, A.B., Blume, R., Havecker, M., Knop-Gericke, A., Schlogl, R., Latyshev, A.V., and Bukhtiyarov, V.I., J. Catal., 2016, vol. 334, p. 23.
Saraev, A.A., Kosolobov, S.S., Kaichev, V.V., and Bukhtiyarov, V.I., Kinet. Catal., 2015, vol. 56, no. 5, p. 598.
Bychkov, V.Y., Tyulenin, Y.P., Gorenberg, A.Ya., Sokolov, S., and Korchak, V.N., Appl. Catal., A, 2014, vol. 485, p. 1.
Bychkov, V.Y., Tyulenin, Y.P., Slinko, M.M., Sokolov, S., and Korchak, V.N., Catal. Lett., 2017, vol. 147, p. 1019.
Ertl, G., Noble Lecture, 2007. https://www.nobelprize.org/prizes/chemistry/2007/ertl/lecture.
Barroo, C., Wang, Z.-J., Schlögl, R., and Willinger, M.G., Nat. Catal. 2020, vol. 3, p. 30.
Franz, T., von Boehn, B., Marchetto, H., Borkenhagen, B., Lilienkamp, G., Daum, W., and Imbihl, R., Ultramicroscopy, 2019, vol. 200, p. 73.
Bychkov, V.Y., Tyulenin, Y.P., Slinko, M.M., and Korchak, V.N., Surf. Sci., 2009, vol. 603, p. 1680.
Bychkov, V.Y., Tyulenin, Y.P., Slinko, M.M., and Korchak, V.N., Appl. Catal., A, 2007, vol. 321, p. 180.
Kaichev, V.V., Saraev, A.A., Gladky, A.Y., Prosvirin, I.P., Blume, R., Teschner, D., Hävecker, M., Knop-Gericke, A., Schlögl, R., and Bukhtiyarov, V.I., Phys. Rev. Lett., 2017, vol. 119, p. 026001.
http://center.chph.ras.ru/files/vb.
McAdam, D.J., Geil, J.W., and Geil, G.W., J. Res. Natl. Bur. Stand., 1942, vol. 28, p. 593.
Singh, J., Nachtegaal, M., Alayon, E.M.C., Stotzel, J., and van Bokhoven, J.A., ChemCatChem, 2010, vol. 2, p. 653.
Hendriksen, B.L.M., Bobaru, S.C., and Frenken, J.W.M., Catal. Today, 2005, vol. 105, p. 234.
van Rijn, R., Balmes, O., Felici, R., Gustafson, J., Wermeille, D., Westerstrom, R., Lundgren, E., and Frenken, J.W.M., J. Phys. Chem. C, 2010, vol. 114, p. 6875.
van Rijn, R., Balmes, O., Resta, A., Wermeille, D., Westerstrom, R., Gustafson, J., Felici, R., Lundgren, E., and Frenken, J.W.M., Phys. Chem. Chem. Phys., 2011, vol. 13, p. 13167.
Sales, B.C., Turner, J.E., and Maple, M.B., Surf. Sci., 1982, vol. 114, p. 381.
Gao, F., Wang, Y., Cai, Y., and Goodman, D.W., J. Phys. Chem. C, 2009, vol. 113, p. 174.
Gao, F., Wang, Y., and Goodman, D.W., J. Phys. Chem. C, 2010, vol. 114, p. 6874.
Zorn, K., Giorgio, S., Halwax, E., Henry, C.R., Grönbeck, H., and Rupprechter, G., J. Phys. Chem. C, 2011, vol. 115, p. 1103.
Gänzler, A.M., Casapu, M., Boubnov, A., Müller, O., Conrad, S., Lichtenberg, H., Frahm, R., and Grunwaldt, J.-D., J. Catal., 2015, vol. 328, p. 216.
Dann, E.K., Gibson, E.K., Catlow, C.R.A., Celorrio, V., Collier, P., Eralp, T., Amboage, M., Hardacre, C., Stere, C., Kroner, A., Raj, A., Rogers, S., Goguet, A., and Wells, P.P., J. Catal., 2019, vol. 373, p. 201.
Makeev, A.G., Slinko, M.M., and Luss, D., Appl. Catal., A, 2019, vol. 571, p. 127.
Makeev, A.G. and Slinko, M.M., Surf. Sci., 2020, vol. 691, p. 121488.
Makeev, A.G. and Semendyaeva, N.L., Comput. Math. Math. Phys., 2009, vol. 49, p. 623.
Blomberg, S., Brackmann, C., Gustafson, J., Aldén, M., Lundgren, E., and Zetterberg, J., ACS Catal., 2015, vol. 5, p. 2028.
Blomberg, S., Zhou, J., Gustafson, J., Zetterberg, J., and Lundgren, E., J. Phys.: Condens. Matter., 2016, vol. 28, p. 453002.
Zhou, J., Pfaff, S., Lundgren, E., and Zetterberg, J., Appl. Phys. B, 2017, vol. 123, p. 87.
Makeev, A.G., Peskov, N.V., Semendyaeva, N.L., Slinko, M.M., Bychkov, V.Yu., and Korchak, V.N., Chem. Eng. Sci., 2019, vol. 207, p. 644.
Makeev, A.G., Peskov, N.V., Slinko, M.M., Bychkov, V.Yu., and Korchak, V.N., Top. Catal., 2020, vol. 63, p. 49.
Kisliuk, P., Chem. Solids, 1957, vol. 3, p. 95.
Lashina, E.A., Kaichev, V.V., Saraev, A.A., Vinokurov, Z.S., Chumakova, N.A., Chumakov, G.A., and Bukhtiyarov, V.I., J. Phys. Chem. A, 2017, vol. 121, p. 6874.
Lashina, E.A., Kaichev, V.V., Saraev, A.A., Vinokurov, Z.S., Chumakova, N.A., Chumakov, G.A., and Bukhtiyarov, V.I., Top. Catal., 2020 (in press). https://doi.org/10.1007/s11244-019-01219-5
Peskov, N.V., Slinko, M.M., Bychkov, V.Yu., and Korchak, V.N., Chem. Eng. Sci., 2012, vol. 84, p. 684.
McEwen, J.-S., Gaspard, P., de Bocarmé, T.V., and Kruse, N., J. Phys. Chem. C, 2009, vol. 113, p. 17045.
Suchorski, Y., Datler, M., Bespalov, I., Zeininger, J., Stöger-Pollach, M., Bernardi, J., Grönbeck, H., and Rupprechter, G., J. Phys. Chem. C, 2019, vol. 123, p. 4217.
Slinko, M.M., Catal. Today, 2010, vol. 153, p. 38.
Makeev, A.G., Semendyaeva, N.L., and Slinko, M.M., Chem. Eng. J., 2015, vol. 282, p. 3.
Lysak, T.M., Peskov, N.V., Slinko, M.M., Tyulenin, Yu.P., Bychkov, V.Yu., and Korchak, V.N., Chem. Eng. Sci., 2016, vol. 144, p. 7.
Makeev, A.G. and Peskov, N.V., Appl. Catal., B, 2013, vol. 132, p. 151.
Makeev, A.G., Peskov, N.V., and Hiromichi, Y., Appl. Catal., B, 2012, vol. 119, p. 273.
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This study was performed under government contract 46.13 (no. AAAA-A18-118020890105-3).
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Abbreviations and notation: PEEM, photoemission electron microscopy; FIM, field ion microscopy; TOF, turnover number; TGA, thermogravimetric analysis; TPR, thermoprogrammed reaction; XRD, X-ray diffraction analysis; XPS, X-ray photoelectron spectroscopy; SEM, scanning electron microscopy; LEEM, low-energy electron microscopy; NAP, near-ambient pressure; STM, scanning tunneling microscopy; XAS, X-ray absorption spectroscopy; SXRD, surface X-ray diffraction; EXAFS, extended X-ray absorption fine structure; PM-IRAS, polarization modulation infrared absorption spectroscopy; ODE, ordinary differential equation; S.T.M., Sales–Turner–Maple mathematical model; CSTR, continuous stirred-tank reactor; 3D-RDC, reaction–diffusion–convection model including the diffusion and convective transport of particles in the reactor; PLIF, planar laser-induced fluorescence.
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Slinko, M.M., Makeev, A.G. Heterogeneous Catalysis and Nonlinear Dynamics. Kinet Catal 61, 495–515 (2020). https://doi.org/10.1134/S0023158420040114
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DOI: https://doi.org/10.1134/S0023158420040114