反整合Sznajd模型的相变和普适性
Phase transitions and universality in the Sznajd model with anticonformity
摘要：
在这项工作中，我们研究的动态意见形成的Sznajd模型与反一致的正规格在二维和三维。反从众行为类似于在人群中引入加拉姆的逆向行为。该模型以前在全连接网络中进行了研究，并发现了一个有序-无序转变与序参量指数$β=1/2$解析计算。然而，没有估计其他相变指数，也没有讨论相变可能的普遍性。我们在这项工作中的目标是数字估计的其他指数$γ$和$ν$的全连接的情况下，以及三个指数的模型定义在正方形和立方格。我们的结果表明，该模型属于伊辛模型普适类在各自的维度。
英文摘要：
In this work we study the dynamics of opinion formation in the Sznajd model with anticonformity on regular lattices in two and three dimensions. The anticonformity behavior is similar to the introduction of Galam's contrarians in the population. The model was previously studied in fully-connected networks, and it was found an order-disorder transition with the order parameter exponent $β=1/2$ calculated analytically. However, the other phase transition exponents were not estimated, and no discussion about the possible universality of the phase transition was done. Our target in this work is to estimate numerically the other exponents $γ$ and $ν$ for the fully-connected case, as well as the three exponents for the model defined in square and cubic lattices. Our results suggest that the model belongs to the Ising model universality class in the respective dimensions.
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