PHASE TRANSITIONS IN SOCIAL SCIENCES: TWO-POPULATION MEAN FIELD THEORY

@article{Contucci2008PHASETI,
  title={PHASE TRANSITIONS IN SOCIAL SCIENCES: TWO-POPULATION MEAN FIELD THEORY},
  author={P. Contucci and I. Gallo and G. Menconi},
  journal={International Journal of Modern Physics B},
  year={2008},
  volume={22},
  pages={2199-2212}
}
  • P. Contucci, I. Gallo, G. Menconi
  • Published 2008
  • Physics, Mathematics
  • International Journal of Modern Physics B
  • A new mean field statistical mechanics model of two interacting groups of spins is introduced, and the phase transition is 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… CONTINUE READING

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