Random walk, cluster growth, and the morphology of urban conglomerations

Simple item page
dc.creatorCiamarra, M. Pica
dc.creatorConiglio, A.
dc.date2005-11-23
dc.date.accessioned2026-07-07T06:52:27Z
dc.date.available2026-07-07T06:52:27Z
dc.descriptionWe 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 $ρ(r)$. The model is analytically solvable in $d=2$ 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.
dc.descriptionPhysica A. To appear
dc.identifierhttps://arxiv.org/abs/physics/0511200
dc.identifierhttp://arxiv.org/abs/physics/0511200
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105305
dc.subjectPhysics and Society
dc.subjectStatistical Mechanics
dc.titleRandom walk, cluster growth, and the morphology of urban conglomerations
dc.typetext

Files

Collections

arXiv