Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
978735 | Physica A: Statistical Mechanics and its Applications | 2006 | 7 Pages |
Abstract
We propose a new model of cluster growth according to which the probability that a new unit is placed in a point at a distance r from the city center is a Gaussian with mean equal to the cluster radius and variance proportional to the mean, modulated by the local density ρ(r)ρ(r). The model is analytically solvable in d=2d=2 dimensions, where the density profile varies as a complementary error function. The model reproduces experimental observations relative to the morphology of cities, determined via an original analysis of digital maps with a very high spatial resolution, and helps understanding the emergence of vehicular traffic.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
M. Pica Ciamarra, A. Coniglio,