https://doi.org/10.1140/epjb/e2014-40988-4
Regular Article
Stochastic delayed monomer-dimer surface reaction model with various dimer adsorption
1 Faculty of Science, Kunming University of Science and Technology, Kunming 650093, P.R. China
2 State Key Laboratory of Complex Nonferrous Metal Resources Clean Utilization, Kunming University of Science and Technology, Kunming 650093, P.R. China
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e-mail: zchh2009@126.com
Received: 7 November 2013
Received in final form: 18 February 2014
Published online: 18 June 2014
In this paper, we study the impacts of noise and time delay in the monomer-dimer (MD) surface reaction model by using theoretical analysis. The MD models for various dimer adsorption mechanisms (namely, local and random adsorption models), which exhibit the first- and second-order phase transitions (PTs), are analyzed. By comparison with two various dimer adsorption, it is found that the qualitative predictions of the well-known first- and second-order PTs are better for the random adsorption model than that for the local adsorption model. The validity of approximate analytic results is checked by numerical simulations.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2014
