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- W2009769954 abstract "The raise and peel model is a stochastic model of a fluctuating interface separating a substrate covered with clusters of matter of different sizes and a rarefied gas of tiles. The stationary state is obtained when adsorption compensates the desorption of tiles. This model is generalized to an interface with defects $(D)$. The defects are either adjacent or separated by a cluster. If a tile hits the end of a cluster with a defect nearby, the defect hops at the other end of the cluster, changing its shape. If a tile hits two adjacent defects, the defects annihilate and are replaced by a small cluster. There are no defects in the stationary state. This model can be seen as describing the reaction $D+Densuremath{rightarrow}0$, in which the particles (defects) $D$ hop at long distances, changing the medium, and annihilate. Between the hops the medium also changes (tiles hit clusters, changing their shapes). Several properties of this model are presented and some exact results are obtained using the connection of our model with a conformally invariant quantum chain." @default.
- W2009769954 created "2016-06-24" @default.
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- W2009769954 date "2007-05-14" @default.
- W2009769954 modified "2023-09-27" @default.
- W2009769954 title "Pair annihilation reactionD+D→0in disordered media and conformal invariance" @default.
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- W2009769954 doi "https://doi.org/10.1103/physreve.75.051110" @default.
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