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Phase Transitions in Social Sciences: Two-populations Mean Field Theory

Pierluigi Contucci, Ignacio Gallo, Giulia Menconi
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.
Keywords: Statistical mechanics; social sciences
International Journal of Modern Physics B 22(14), pages 2199-2212, 10 June 2008
	Author = {Contucci, Pierluigi and Gallo, Ignacio and Menconi, Giulia},
	Doi = {10.1142/S0217979208039423},
	Issn = {0217-9792},
	Journal = {International Journal of Modern Physics B},
	Keywords = {Statistical mechanics; social sciences},
	Month = {10~} # jun,
	Number = 14,
	Pages = {2199--2212},
	Title = {Phase Transitions in Social Sciences: Two-populations Mean Field Theory},
	Url = {http://www.worldscientific.com/doi/abs/10.1142/S0217979208039423},
	Url-Pdf = {http://www.worldscientific.com/doi/pdf/10.1142/S0217979208039423},
	Volume = 22,
	Year = 2008}