Absorbing state phase transitions with a non-accessible vacuum
| dc.creator | Hammal, Omar Al | |
| dc.creator | Bonachela, Juan A. | |
| dc.creator | Munoz, Miguel A. | |
| dc.date | 2006-10-23 | |
| dc.date | 2006-12-11 | |
| dc.date.accessioned | 2026-07-07T07:27:38Z | |
| dc.date.available | 2026-07-07T07:27:38Z | |
| dc.description | 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. | |
| dc.description | 6 pages. 3 Figures. Final version as published in J.Stat.Mech | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0610632 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0610632 | |
| dc.identifier | J. Stat. Mech. (2006) P12007 | |
| dc.identifier | doi:10.1088/1742-5468/2006/12/P12007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117446 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Absorbing state phase transitions with a non-accessible vacuum | |
| dc.type | text |