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

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.

References in corpus (2)

• Bifurcations and Patterns in Compromise Processes
• Metamagnets in uniform and random fields

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