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
@article{contucci-ijmphysb,
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}

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Publication

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

— status

published  

— authors

Pierluigi Contucci, Ignacio Gallo, Giulia Menconi

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original page
original PDF

— DOI

10.1142/S0217979208039423

— print ISSN

0217-9792

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— BibTeX ID
contucci-ijmphysb
— BibTeX category
article

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