The social percolation model is generalized to include the propagation of two mutually exclusive competing effects on a one-dimensional ring and a two-dimensional square lattice. It is shown that the result depends significantly on which effect propagates first i.e. it is a non-commutative phenomenon. Then the propagation of one effect is studied on a small network. It generalizes the work of Moore and Newman of a disease spread to the case where the susceptibility of the population is random. Three variants of the Domany-Kinzel model are given. One of them (delayed) does not have a chaotic region for some value of the delay weight.
The social percolation model is generalized to include the propagation of two mutually exclusive competing effects on a one-dimensional ring and a two-dimensional square lattice. It is shown that the result depends significantly on which effect propagates first i.e. it is a non-commutative phenomenon. Then the propagation of one effect is studied on a small network. It generalizes the work of Moore and Newman of a disease spread to the case where the susceptibility of the population is random. Three variants of the Domany-Kinzel model are given. One of them (delayed) does not have a chaotic region for some value of the delay weight.
Synthesis of alkylbenzenes by Friedel-Crafts reactions catalysed by K10-montmorillonite
作者:Odette Sieskind、Pierre Albrecht
DOI:10.1016/s0040-4039(00)77527-7
日期:1993.2
Monoalkylation of benzene with primary, secondary and tertiary alcohols took place in high yields when K10-montmorillonite was used as acidic catalyst. Unexpected formation of 1-phenylalkylbenzenes occurred, beside other isomers with primary alcohols. Monoalkylation with cholestanol and cholesterol was regiospecific and located at C-3. Clay-catalysed alkylbenzene formation may also be of geochemical interest.