Phase transitions in social sciences: two-populations mean field theory
Physics and Society
2009-11-13 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
A new mean field statistical mechanics model of two interacting groups of spins is introduced and the phase transition studied in terms of their relative size. A jump of the average magnetization is found for large values of the mutual interaction when the relative percentage of the two populations crosses a critical threshold. It is shown how the critical percentage depends on internal interactions and on the initial magnetizations. The model is interpreted as a prototype of resident-immigrant cultural interaction and conclusions from the social sciences perspectives are drawn.
Cite
@article{arxiv.physics/0702076,
title = {Phase transitions in social sciences: two-populations mean field theory},
author = {Pierluigi Contucci and Ignacio Gallo and Giulia Menconi},
journal= {arXiv preprint arXiv:physics/0702076},
year = {2009}
}