Special Attention Network
نویسنده
چکیده
In this Note a social network model for opinion formation is proposed in which a person connected to q partners pays an attention 1/q to each partner. The mutual attention between two connected persons i and j is taken equal to the geometric mean 1/ √ qiqj. Opinion is represented as usual by an Ising spin s = ±1 and mutual attention is given through a two-spin coupling Jij = JQ/ √ qiqj, Q being the average connectivity in the network. Connectivity diminishes attention and only persons with low connectivity can pay special attention to each other leading to a durable common (or opposing) opinion. The model is solved in “mean-field” approximation and a critical “temperature” Tc proportional to JQ is found, which is independent of the number of persons N , for large N .
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تاریخ انتشار 2003