Effect of internal noise on the oscillation of N2O decomposition over Cu-ZSM-5 zeolites using a stochastic description.

When considering stochastic oscillations of heterogeneous catalyst systems, most researches have focused on the surface of a metal or its oxide catalysts, but there have been few studies on porous catalysts. In this work, the effects of internal noise on oscillations of N2O decomposition over Cu-ZSM-5 zeolites are investigated, using the chemical Langevin equation and a mesoscopic stochastic model. Considering that Cu-ZSM-5 particles are finely divided particles, the number of Cu ions (Ns) is proportional to the particle size at a certain Cu/Al, and the internal noise is inversely proportional to Ns. Stochastic oscillations can be observed outside the deterministic oscillatory region. Furthermore, the performance of the oscillation characterized by the signal-to-noise ratio has a maximum within the optimal size range of 4-8 nm. This suggests that a nanometer-sized zeolite may be best for oscillations.

[1]  Xiaoming Sun,et al.  The isothermal oscillations and fluctuation-driven oscillations of N2O decomposition over Cu-ZSM-5 zeolites , 2013 .

[2]  Andreas Hellander,et al.  Perspective: Stochastic algorithms for chemical kinetics. , 2013, The Journal of chemical physics.

[3]  S. Ray,et al.  Effect of multiplicative noise on the self-induced aggregation kinetics of Brownian particles , 2013 .

[4]  Yoshiaki Hirano,et al.  Stochastic Resonance in a Molecular Redox Circuit , 2013 .

[5]  Qian-shu Li,et al.  Density Functional Theory Study of Mechanism of N2O Decomposition over Cu-ZSM-5 Zeolites , 2012 .

[6]  G. Russo,et al.  Nitrates and nitrous oxide formation during the interaction of nitrogen oxides with Cu-ZSM-5 at low temperature , 2012 .

[7]  J. W. Elam,et al.  Increased Silver Activity for Direct Propylene Epoxidation via Subnanometer Size Effects , 2010, Science.

[8]  R. Imbihl.  Nonlinear dynamics on catalytic surfaces: The contribution of surface science , 2009 .

[9]  Louise Olsson,et al.  Detailed kinetic modeling of NOx adsorption and NO oxidation over Cu-ZSM-5 , 2009 .

[10]  M. Ozer,et al.  Stochastic resonance on Newman–Watts networks of Hodgkin–Huxley neurons with local periodic driving , 2009 .

[11]  Qian-shu Li,et al.  Noise-induced effective oscillation in oil-water membrane oscillator. , 2008, The Journal of chemical physics.

[12]  B. Sels,et al.  The catalytic performance of Cu-containing zeolites in N2O decomposition and the influence of O2, NO and H2O on recombination of oxygen , 2008 .

[13]  Matjaž Perc,et al.  Periodic calcium waves in coupled cells induced by internal noise , 2007 .

[14]  E. Hensen,et al.  Direct NO and N2O decomposition and NO-assisted N2O decomposition over Cu-zeolites : elucidating the influence of the Cu-Cu distance on the oxygen migration , 2007 .

[15]  Ya Ping Li,et al.  Critical threshold of noise-induced Ca2+ signal in intracellular Ca2+ system , 2006 .

[16]  A. Bell,et al.  Characterization of Cu-ZSM-5 Prepared by Solid-State Ion Exchange of H-ZSM-5 with CuCl , 2006 .

[17]  T. Turek.  Kinetic oscillations during the catalytic decomposition of nitrous oxide , 2005 .

[18]  Z. Hou,et al.  Effects of internal noise for rate oscillations during CO oxidation on platinum surfaces. , 2005, The Journal of chemical physics.

[19]  Z. Hou,et al.  Internal noise stochastic resonance in NO reduction by CO on platinum surfaces. , 2005, The journal of physical chemistry. A.

[20]  B. Kasemo,et al.  Fluctuations and Bistabilities on Catalyst Nanoparticles , 2004, Science.

[21]  G. Lilienkamp,et al.  Surface topographical changes and chemical wave patterns in catalytic CO oxidation on Pt(110) , 2004 .

[22]  Zhonghuai Hou,et al.  Internal noise stochastic resonance in a circadian clock system , 2003 .

[23]  M. M. Slinko,et al.  Stochastic model of reaction rate oscillations during CO oxidation over zeolite-supported catalysts , 2003 .

[24]  A. Bell.  The Impact of Nanoscience on Heterogeneous Catalysis , 2003, Science.

[25]  N. V. Peskov,et al.  Analysis and Simulation of the Dynamics of a Catalyzed Model Reaction: CO Oxidation on Zeolite Supported Palladium , 2003 .

[26]  M. Sodupe,et al.  Spin-forbidden N2O dissociation in Cu–ZSM-5 , 2003 .

[27]  P. Jung,et al.  Optimal ion channel clustering for intracellular calcium signaling , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[28]  C. Rao,et al.  Control, exploitation and tolerance of intracellular noise , 2002, Nature.

[29]  Hong Qian,et al.  Concentration fluctuations in a mesoscopic oscillating chemical reaction system , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[30]  Peter Hänggi,et al.  Stochastic resonance in biology. How noise can enhance detection of weak signals and help improve biological information processing. , 2002, Chemphyschem : a European journal of chemical physics and physical chemistry.

[31]  P. Jung,et al.  Optimal intracellular calcium signaling. , 2002, Physical review letters.

[32]  G. Ertl,et al.  Spatiotemporal Self-Organization in a Surface Reaction: From the Atomic to the Mesoscopic Scale , 2001, Science.

[33]  J. Starke,et al.  Stochastic model of CO oxidation on platinum surfaces and deterministic limit , 2001 .

[34]  D. Gillespie.  The chemical Langevin equation , 2000 .

[35]  A. D. Benedetto,et al.  MATHEMATICAL MODELLING OF SELF-SUSTAINED ISOTHERMAL OSCILLATIONS IN N2O DECOMPOSITION ON Cu-ZSM5 , 1999 .

[36]  James W. Evans,et al.  Fluctuation-Induced Transitions in a Bistable Surface Reaction: Catalytic CO Oxidation on a Pt Field Emitter Tip , 1999 .

[37]  Xin Houwen,et al.  NOISE INDUCED PATTERN TRANSITION AND SPATIOTEMPORAL STOCHASTIC RESONANCE , 1998 .

[38]  A. D. Benedetto,et al.  SPONTANEOUS ISOTHERMAL OSCILLATIONS IN N2O DECOMPOSITION OVER A Cu-ZSM5 CATALYST , 1998 .

[39]  K. Showalter,et al.  Noise-supported travelling waves in sub-excitable media , 1998, Nature.

[40]  T. Turek.  A Transient Kinetic Study of the Oscillating N2O Decomposition over Cu--ZSM-5 , 1998 .

[41]  F. Kapteijn,et al.  Kinetic analysis of the decomposition of nitrous oxide over ZSM-5 catalysts , 1997 .

[42]  J. Kurths,et al.  Coherence Resonance in a Noise-Driven Excitable System , 1997 .

[43]  Freek Kapteijn,et al.  Heterogeneous catalytic decomposition of nitrous oxide , 1996 .

[44]  A. Bell,et al.  An Infrared Study of NO Decomposition over Cu-ZSM-5 , 1995 .

[45]  M. Bär,et al.  Spatiotemporal selforganization on isothermal catalysts , 1995 .

[46]  Gerhard Ertl,et al.  Oscillatory Kinetics in Heterogeneous Catalysis , 1995 .

[47]  Werner Horsthemke,et al.  Noise-induced transitions , 1984 .