'Burning and sticking' model for a porous material: suppression of the topological phase transition due to the backbone reinforcement effect

摘要

We introduce and study the "burning-and-sticking" (BS) lattice model for theporous material that involves sticking of emerging finite clusters to themainland. In contrast with other single-cluster models, it does not demonstrateany phase transition: the backbone exists at arbitrarily low concentrations.The same is true for hybrid models, where the sticking events occur withprobability $q$: the backbone survives at arbitrarily low $q$. Disappearance ofthe phase transition is attributed to the backbone reinforcement effect,generic for models with sticking. A relation between BS and the cluster-clusteraggregation is briefly discussed.