The Ising model celebrates a century of interdisciplinary contributions

Michael W. Macy, Boleslaw K. Szymanski, Janusz A. Hołyst
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Abstract

The centennial of the Ising model marks a century of interdisciplinary contributions that extend well beyond ferromagnets, including the evolution of language, volatility in financial markets, mood swings, scientific collaboration, the persistence of unintended neighborhood segregation, and asymmetric hysteresis in political polarization. The puzzle is how anything could be learned about social life from a toy model of second order ferromagnetic phase transitions on a periodic network. Our answer points to Ising’s deeper contribution: a bottom-up modeling approach that explores phase transitions in population behavior that emerge spontaneously through the interplay of individual choices at the micro-level of interactions among network neighbors.
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伊辛模型跨学科贡献百年庆典
伊辛模型问世一百周年,标志着一个世纪以来伊辛模型的跨学科贡献远远超出了铁磁体的范畴,包括语言的演变、金融市场的波动、情绪波动、科学合作、非故意的邻里隔离的持续存在,以及政治极化的非对称滞后。问题在于,如何从一个周期性网络上的二阶铁磁相变玩具模型中了解社会生活。我们的答案指向了伊辛更深层次的贡献:一种自下而上的建模方法,通过网络邻里间互动的微观层面上个人选择的相互作用,探索人口行为中自发出现的相变。
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