A lattice model of fashion propagation with correlation analysis
Spatial and temporal changes in fashion are very complicated in an information-oriented society. In this article, we introduce a lattice model of fashion which is composed of two competing trends. Simulation is carried out by two methods: local and global interactions. In the former case interaction occurs between adjacent lattice sites, while in the latter it occurs between any pair of lattice sites. Computer simulations reveal that the fashion is more prevalent for global interaction than for local interaction. Various spatial patterns in fashion are analysed by both auto-and cross-correlations. We find universally a power law which leads to collective behaviours of fashion: if the number of people with a trend is extremely decreased, they are localised in scattered very small areas. For the producer/maker of fashion, global transmission is far more important than local dispersal.
fashion propagation monte carlo simulation mean-field theory correlation function