Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1178-1188 |
| Seitenumfang | 11 |
| Fachzeitschrift | Physica A: Statistical Mechanics and its Applications |
| Jahrgang | 389 |
| Ausgabenummer | 6 |
| Frühes Online-Datum | 17 Nov. 2009 |
| Publikationsstatus | Veröffentlicht - 15 März 2010 |
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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Statistik und Wahrscheinlichkeit
- Physik und Astronomie (insg.)
- Physik der kondensierten Materie
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in: Physica A: Statistical Mechanics and its Applications, Jahrgang 389, Nr. 6, 15.03.2010, S. 1178-1188.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Effects of surface size on minimalistic stochastic models for the catalytic CO oxidation
AU - Pineda, M.
AU - Imbihl, R.
AU - Schimansky-Geier, L.
N1 - Funding Information: M.P acknowledges the financial support of project FIS2007-60327 from MICINN (Spain) and FEDER (EU). LSG acknowledges support by DFG through Sfb555.
PY - 2010/3/15
Y1 - 2010/3/15
N2 - 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.
AB - 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.
KW - CO oxidation
KW - Master equation
KW - Monte Carlo simulations
UR - http://www.scopus.com/inward/record.url?scp=72549105118&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2009.11.024
DO - 10.1016/j.physa.2009.11.024
M3 - Article
AN - SCOPUS:72549105118
VL - 389
SP - 1178
EP - 1188
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
SN - 0378-4371
IS - 6
ER -