Percolation model with continuously varying exponents.

@article{Andrade2013PercolationMW,
  title={Percolation model with continuously varying exponents.},
  author={R. F. S. Andrade and Hans J{\"u}rg Herrmann},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2013},
  volume={88 4},
  pages={
          042122
        }
}
This work analyzes a percolation model on the diamond hierarchical lattice (DHL), where the percolation transition is retarded by the inclusion of a probability of erasing specific connected structures. It has been inspired by the recent interest on the existence of other universality classes of percolation models. The exact scale invariance and renormalization properties of DHL leads to recurrence maps, from which analytical expressions for the critical exponents and precise numerical results… CONTINUE READING
1
Twitter Mention

Similar Papers