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Effects of surface size on minimalistic stochastic models for the catalytic CO oxidation

Author

Listed:
  • Pineda, M.
  • Imbihl, R.
  • Schimansky-Geier, L.

Abstract

The impact of surface size on two minimalistic models for the bistable CO oxidation is analytically studied. A simple model for the catalytic CO oxidation on nanoscale surfaces is analyzed by the chemical master equation. The analytical results predict a shift of the bistable region and cusp point in the global bifurcation diagram as a function of surface size. A reaction–diffusion stochastic model consisting of a collection of reactive subdomains locally coupled by CO diffusion is also considered. A local description of fluctuations can be obtained after applying a Weiss-type mean-field approximation. This approximation predicts, for infinitely many subdomains, a break of ergodicity and a bifurcation behavior like in first-order phase transitions as a function of surface size and coupling parameter. Analytical results are compared with Gillespie-type Monte Carlo simulations.

Suggested Citation

  • Pineda, M. & Imbihl, R. & Schimansky-Geier, L., 2010. "Effects of surface size on minimalistic stochastic models for the catalytic CO oxidation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(6), pages 1178-1188.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:6:p:1178-1188
    DOI: 10.1016/j.physa.2009.11.024
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