Eur. Phys. J. B (2014) 87: 137
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

^a e-mail: zchh2009@126.com

Received: 7 November 2013
Received in final form: 18 February 2014
Published online: 18 June 2014

Abstract

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.