Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-10-23
J. Stat. Mech. (2006) P12007
Physics
Condensed Matter
Statistical Mechanics
6 pages. 3 Figures. Final version as published in J.Stat.Mech
Scientific paper
10.1088/1742-5468/2006/12/P12007
We analyze from the renormalization group perspective a universality class of reaction-diffusion systems with absorbing states. It describes models where the vacuum state is not accessible, as the set of reactions $2 A \to A$ together with creation processes of the form $A \to n A$ with $n \geq 2$. This class includes the (exactly solvable in one-dimension) {\it reversible} model $2 A \leftrightarrow A$ as a particular example, as well as many other {\it non-reversible} reactions, proving that reversibility is not the main feature of this class as previously thought. By using field theoretical techniques we show that the critical point appears at zero creation-rate (in accordance with exact results), and it is controlled by the well known pair-coagulation renormalization group fixed point, with non-trivial exactly computable critical exponents in any dimension. Finally, we report on Monte-Carlo simulations, confirming all field theoretical predictions in one and two dimensions for various reversible and non-reversible models.
Bonachela Juan Antonio
Hammal Omar Al
Munoz Miguel A.
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