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Kinetic phase transition in $A_{2} + B_{2} \to 2 A B$ reaction system

Da-yin Hua^*, Shi-jie Shao, and Su Lin

Physics Department, Laboratory of Nano-materials and Technology, Ningbo University, Ningbo 315211, People’s Republic of China

^*Author to whom correspondence should be addressed.

Phys. Rev. E 69, 046114 – Published 28 April, 2004

DOI: https://doi.org/10.1103/PhysRevE.69.046114

Abstract

Three lattice gas models for $A_{2} + B_{2} \to 2 A B$ reaction system are studied by Monte Carlo simulation in two-dimensional triangular lattice surface. When both $A_{2}$ and $B_{2}$ adsorb and dissociate on the catalytic surface in the random dimer-filling mechanism or in the end-on dimer-filling mechanism, there is no reactive window in the reaction system and just a discontinuous phase transition appears from a “ $B + vacancy$ ” poisoned state to an “ $A + vacancy$ ” poisoned state. However, a reactive window appears when one of the two dimers, $A_{2}$ , dissociates in the random dimer-filling mechanism but another dimer, $B_{2}$ , is in the end-on dimer-filling mechanism and the system exhibits a discontinuous phase transition from the active reaction state to a $B + vacancy$ poisoned state and a continuous phase transition to an “ $A + vacancy$ ” poisoned state. Furthermore, we show that the critical behavior of the continuous phase transition with infinitely many absorbing states belongs to the robust directed percolation universality class.

Article Text

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