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Social applications of two-dimensional Ising models
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10.1119/1.2779882
/content/aapt/journal/ajp/76/4/10.1119/1.2779882
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/76/4/10.1119/1.2779882
View: Figures

Figures

Image of Fig. 1.
Fig. 1.

Switching of the Ising model on a square lattice at from one sign of the spontaneous magnetization to the opposite. This change can be interpreted as swings in business confidence (Ref. 3) or as changes in a language feature (Ref. 4). Time is measured in iterations; each site is updated once in an iteration. Adapted from Ref. 5.

Image of Fig. 2.
Fig. 2.

A Ising model on a square lattice with a self-organizing local temperature due to feedback with the neighborhood. The two top curves give the average temperature, the two lower curves give the magnetization for temperature decreases (“forgetting”) of 0.2% (, stars) and 0.3% (, squares) per iteration. Adapted from Ref. 16.

Image of Fig. 3.
Fig. 3.

Nettle-type simulation of language switching without bias and without influential and less influential speakers: (a) refers to everybody interacting with everybody (401 speakers, 39% noise) and (b) has the usual nearest-neighbor interaction of a square lattice with 7.7% noise (Ref. 21).

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/content/aapt/journal/ajp/76/4/10.1119/1.2779882
2008-04-01
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Social applications of two-dimensional Ising models
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/76/4/10.1119/1.2779882
10.1119/1.2779882
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