Phase transitions in social sciences: two-populations mean field theory

Details Phase transitions in social sciences: two-populations mean field theory Phase transitions in social sciences: two-populations mean field theory

2007-02-09

arxiv.org/abs/physics/0702076v2

Physics

Physics and Society

Scientific paper

10.1142/S0217979208039423

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.

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