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Stochastic delayed monomer-dimer surface reaction model with various dimer adsorption

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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.

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Authors and Affiliations

  1. Faculty of Science, Kunming University of Science and Technology, Kunming, 650093, P.R. China

    Chun-Hua Zeng, Tao Yang, Qinglin Han, Chun Zhang & Dong Tian

  2. State Key Laboratory of Complex Nonferrous Metal Resources Clean Utilization, Kunming University of Science and Technology, Kunming, 650093, P.R. China

    Chun-Hua Zeng & Hua Wang

Authors
  1. Chun-Hua Zeng
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  2. Hua Wang
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  3. Tao Yang
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  4. Qinglin Han
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  5. Chun Zhang
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  6. Dong Tian
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Correspondence to Chun-Hua Zeng.

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Zeng, CH., Wang, H., Yang, T. et al. Stochastic delayed monomer-dimer surface reaction model with various dimer adsorption. Eur. Phys. J. B 87, 137 (2014). https://doi.org/10.1140/epjb/e2014-40988-4

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  • DOI: https://doi.org/10.1140/epjb/e2014-40988-4

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