"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
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.