Showing 1 - 8 of 8
The multi-component site percolation problems on a family of Sierpinski carpets (SCs) are solved by the real-space renormalization group (RG) method. Three sorts of sites on an SC lattice are distinguished and three independent kinds of occupation probabilities are assigned to them. We develope...
Persistent link: https://www.econbiz.de/10010872672
Persistent link: https://www.econbiz.de/10006731830
In this letter the spectral structure of lattice vibrations of diamond type hierarchical lattices is studied. A novel feature is found that spectra form a branched structure associated with generations, in contrast with that of other regular fractals. We point out that it seems to be difficult...
Persistent link: https://www.econbiz.de/10010587370
In this paper, we study the household-structure SIS epidemic spreading on general complex networks. The household structure gives us the way to distinguish the inner and the outer infection rates. Unlike household-structure models on homogenous networks, such as regular and random networks, we...
Persistent link: https://www.econbiz.de/10010589964
The aggregation-annihilation processes involving n species are discussed by means of meanfield theory. We propose a sort of solvable chain-reaction models in which n kinds of species are numbered, the irreversible aggregations occur only between similar species and the annihilations occur only...
Persistent link: https://www.econbiz.de/10010586456
Exact results are obtained for the Ashkin-Teller model on a special Sierpinski carpet (SC). We calculate the partition function and correlation function with the transformation matrix method. Thus the asymptotic behaviour of the correlation function is investigated in the limit of long distance....
Persistent link: https://www.econbiz.de/10010586972
The critical behavior of the Gaussian models on a diamond-type hierarchical lattice with periodic and aperiodic interactions according to a class of substitution sequences are studied by the exact renormalization-group approach and spin rescaling. For the periodic case with a two-letter general...
Persistent link: https://www.econbiz.de/10011062309
We study a dimer–dimer irreversible catalytic reaction model A2+B2→2AB in three groups of lattices by means of computer simulations. We found that the properties of the phase transitions closely depend on the structure of lattices. It is found that phase diagrams exhibit three cases: abrupt...
Persistent link: https://www.econbiz.de/10011064684