dorsal/arxiv
View SchemaPhase transitions in social sciences: two-populations mean field theory
| Authors | Pierluigi Contucci, Ignacio Gallo, Giulia Menconi |
|---|---|
| Categories | |
| ArXiv ID | physics/0702076 |
| URL | https://arxiv.org/abs/physics/0702076 |
| DOI | 10.1142/S0217979208039423 |
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.
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"abstract": "A new mean field statistical mechanics model of two interacting groups of\nspins is introduced and the phase transition studied in terms of their relative\nsize. A jump of the average magnetization is found for large values of the\nmutual interaction when the relative percentage of the two populations crosses\na critical threshold. It is shown how the critical percentage depends on\ninternal interactions and on the initial magnetizations. The model is\ninterpreted as a prototype of resident-immigrant cultural interaction and\nconclusions from the social sciences perspectives are drawn.",
"arxiv_id": "physics/0702076",
"authors": [
"Pierluigi Contucci",
"Ignacio Gallo",
"Giulia Menconi"
],
"categories": [
"physics.soc-ph",
"cond-mat.stat-mech",
"math-ph",
"math.MP"
],
"doi": "10.1142/S0217979208039423",
"title": "Phase transitions in social sciences: two-populations mean field theory",
"url": "https://arxiv.org/abs/physics/0702076"
},
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