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| VOLUME 89 | ISSUE 10 |
PAGE 612
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| «Burning and sticking» model for a porous material: suppression of the topological phase transition due to the backbone reinforcement effect
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A. S. Ioselevich, D. S. Lyubshin
Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia,
Moscow Institute of Physics and Technology, 141700 Moscow, Russia
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PACS: 61.43.-j
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Abstract
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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