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...

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...

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...

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...

A model is presented to investigate the process of the dissociative adsorption of dimers and study the percolating properties of the dissociated monomers. There is only one phase, the monomer-nonpercolating phase, if the dimer concentration φ is low. If φφc, however, the system undergoes a...

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...

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...

Purpose: The purpose of this study was to summarize safety management of manager into two aspects (design behavior and management behavior) and to figure out the different impact these two behaviors might have. Design/methodology/approach: In order to verify the reasonableness of the...

Mainland China underwent significant institutional changes in the 1980s, when most villages transitioned from collectivism to individualism. As one of the exceptions, Yakou Village is called "the last people's commune in China". Conducting a lab-in-field experiment, we compared the social and...