Details
| Original language | English |
|---|---|
| Article number | 061107 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 75 |
| Issue number | 6 |
| Publication status | Published - 8 Jun 2007 |
Abstract
A reaction-diffusion master equation has been introduced in order to model the bistable CO oxidation on single crystal metal surfaces at high pressure where the diffusion length becomes small and local fluctuations are important. Analytical solutions can be found in a reduced one-component nonlinear master equation after applying the Weiss mean-field approximation together with the adiabatic elimination of oxygen. It is shown that the Weiss mean-field approximation predicts a symmetry-breaking bifurcation associated with a phase transition. The corresponding stationary solutions of the nonlinear master equation are supported by Gillespie-type Monte Carlo simulations.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Statistics and Probability
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 75, No. 6, 061107, 08.06.2007.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Fluctuation-induced phase transition in a spatially extended model for catalytic CO oxidation
AU - Pineda, M.
AU - Schimansky-Geier, L.
AU - Imbihl, R.
PY - 2007/6/8
Y1 - 2007/6/8
N2 - A reaction-diffusion master equation has been introduced in order to model the bistable CO oxidation on single crystal metal surfaces at high pressure where the diffusion length becomes small and local fluctuations are important. Analytical solutions can be found in a reduced one-component nonlinear master equation after applying the Weiss mean-field approximation together with the adiabatic elimination of oxygen. It is shown that the Weiss mean-field approximation predicts a symmetry-breaking bifurcation associated with a phase transition. The corresponding stationary solutions of the nonlinear master equation are supported by Gillespie-type Monte Carlo simulations.
AB - A reaction-diffusion master equation has been introduced in order to model the bistable CO oxidation on single crystal metal surfaces at high pressure where the diffusion length becomes small and local fluctuations are important. Analytical solutions can be found in a reduced one-component nonlinear master equation after applying the Weiss mean-field approximation together with the adiabatic elimination of oxygen. It is shown that the Weiss mean-field approximation predicts a symmetry-breaking bifurcation associated with a phase transition. The corresponding stationary solutions of the nonlinear master equation are supported by Gillespie-type Monte Carlo simulations.
UR - http://www.scopus.com/inward/record.url?scp=34547308042&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.75.061107
DO - 10.1103/PhysRevE.75.061107
M3 - Article
AN - SCOPUS:34547308042
VL - 75
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 6
M1 - 061107
ER -