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The phase transitions of the recently introduced 2A -> 3A, 4A -> 0reaction-diffusion model (G.Odor, PRE 69 036112 (2004)) are explored in twodimensions. This model exhibits site occupation restriction and explicitdiffusion of isolated particles. A reentrant phase diagram in the diffusion -creation rate space is confirmed in agreement with cluster mean-field andone-dimensional results. For strong diffusion a mean-field transition can beobserved at zero branching rate characterized by $\alpha=1/3$ density decayexponent. In contrast with this for weak diffusion the effective 2A ->3A->4A->0reaction becomes relevant and the mean-field transition of the 2A -> 3A, 2A ->0 model characterized by $\alpha=1/2$ also appears for non-zero branchingrates.Comment: 5 pages, 5 figures included, small correction

physical review. e, statistical, nonlinear and soft matter physics

Critical behavior of the two-dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>2</mml:mn><mml:mi>A</mml:mi><mml:mo>→</mml:mo><mml:mn>3</mml:mn><mml:mi>A</mml:mi></mml:mrow></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>4</mml:mn><mml:mi>A</mml:mi><mml:mo>→</mml:mo><mml:mi>∅</mml:mi></mml:mrow></mml:math>binary system

Critical behavior of the two-dimensional2A→3A,4A→∅binary system