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arXiv physics/0702076physics.soc-phcond-mat.stat-mechmath-phmath.MP
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社会科学中的相变:两种群平均场论

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

Pierluigi Contucci, Ignacio Gallo, Giulia Menconi

摘要:

本文介绍了一种新的两组相互作用自旋的平均场统计力学模型,并根据它们的相对尺寸研究了相变。一个跳跃的平均磁化被发现为大的相互作用值时,两个人口的相对百分比跨越一个临界阈值。它示出了如何临界百分比取决于内部相互作用和初始磁化强度。该模型被解释为一个原型的居民-移民文化互动和社会科学的观点得出的结论。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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