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VOLUME 89 | ISSUE 10 | PAGE 612
«Burning and sticking» model for a porous material: suppression of the topological phase transition due to the backbone reinforcement effect
A. S. Ioselevich, D. S. Lyubshin
Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia,
Moscow Institute of Physics and Technology, 141700 Moscow, Russia

PACS: 61.43.-j
We introduce and study the «burning-and-sticking» (BS) lattice model for the porous material that involves sticking of emerging finite clusters to the mainland. In contrast with other single-cluster models, it does not demonstrate any phase transition: the backbone exists at arbitrarily low concentrations. The same is true for hybrid models, where the sticking events occur with probability q: the backbone survives at arbitrarily low q. Disappearance of the phase transition is attributed to the backbone reinforcement effect, generic for models with sticking. A relation between BS and the cluster-cluster aggregation is briefly discussed.

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