%0 Journal Article %1 Kogut81 %A Kogut, P M %A Leath, P L %D 1981 %J Journal of Physics C: Solid State Physics %K Bootstrap bootstrap lattices percolation real transitions %N 22 %P 3187-3194 %R 10.1088/0022-3719/14/22/013 %T Bootstrap percolation transitions on real lattices %U http://dx.doi.org/10.1088/0022-3719/14/22/013 %V 14 %X In bootstrap percolation, a fraction p of the sites of a lattice is first randomly occupied, and then all occupied sites with fewer than a given integral number m of occupied neighbours are successively culled (rendered unoccupied) until either (a) a configuration of occupied sites, each with m or more occupied neighbours, ensues or (b) all sites of the lattice are vacated. The authors treat this problem as a function of m on square, triangular and cubic lattices by computer simulation. Various types of percolation transitions are discovered, including some which are discontinuous and some which are continuous but characterised by non-universal critical exponents.

@article{Kogut81, abstract = {In bootstrap percolation, a fraction p of the sites of a lattice is first randomly occupied, and then all occupied sites with fewer than a given integral number m of occupied neighbours are successively culled (rendered unoccupied) until either (a) a configuration of occupied sites, each with m or more occupied neighbours, ensues or (b) all sites of the lattice are vacated. The authors treat this problem as a function of m on square, triangular and cubic lattices by computer simulation. Various types of percolation transitions are discovered, including some which are discontinuous and some which are continuous but characterised by non-universal critical exponents.}, added-at = {2008-11-28T02:26:53.000+0100}, author = {Kogut, P M and Leath, P L}, biburl = {https://www.bibsonomy.org/bibtex/267a28321de291df921188810c53177e0/sidney}, description = {Bootstrap percolation transitions on real lattices}, doi = {10.1088/0022-3719/14/22/013}, interhash = {1cd0ca74d289b89a5f9fa195264c48d1}, intrahash = {67a28321de291df921188810c53177e0}, journal = {Journal of Physics C: Solid State Physics}, keywords = {Bootstrap bootstrap lattices percolation real transitions}, number = 22, pages = {3187-3194}, timestamp = {2008-11-28T02:26:53.000+0100}, title = {Bootstrap percolation transitions on real lattices}, url = {http://dx.doi.org/10.1088/0022-3719/14/22/013}, volume = 14, year = 1981 }