论文标题
Ising旋转梯子，带有三聚梯级和次要的邻居耦合。物理和代理模型的挫败感
Ising spin ladder with trimer rungs and next-nearest-neighbor coupling. Frustration in physics and agent models
论文作者
论文摘要
使用转移矩阵和线性重新归一化组方法研究了带有三腿梯级的两腿式旋转梯子的扩展模型和外部磁场中的下一个邻居相互作用（NNN）的扩展模型。在标准版本（两条腿中仅具有相同的NN相互作用）中，这样的梯子表现出非常有趣的行为 - 在有限温度下，令人沮丧的驱动极尖锐的相位交叉类似于相变，在一个维度上不可能。结果表明，在所有腿部的相互作用（Assymetric Ladder），NNN相互作用以及在存在小的外部场的情况下，当有效的杂交耦合的点与杂交相关函数伴随着具有特定热量的膨胀点的点相一致时，都会发生跨界。一个假设的提出，为了描述人民的政治观点的突然变化，没有必要诉诸于相过渡的概念，这对社会系统有争议。在某些情况下，这种现象可以理解为挫折水平触发的相位交叉。这种挫败感的根源被认为是社会成员的两个态度领域之间的内部冲突，即个人和经济，这些态度是由人格特征所塑造的。
The extended model of two-leg Ising spin ladder with trimer rungs and next nearest neighbor interaction (NNN) in an external magnetic field is studied using the transfer matrix and linear renormalization group methods. In the standard version (with the same only NN interactions in both legs) such a ladder exhibits very interesting behavior - a frustration driven extremely sharp phase crossover at finite temperature which resembles a phase transition, impossible in one dimension. It is shown that in all considered cases with different interactions in each leg (assymetric ladder), with NNN interactions and in the presence of small external field such a crossover takes place when the point at which the effective interleg coupling vanishes coincides with the point at which the interleg correlation function exhibits an inflection point accompanied by the specific heat maximum. A hypothesis is formulated that to describe an abrupt change in political view of the people it is not necessary to resort to a concept of a phase transition, controversial for social systems. In some cases, this phenomenon can be understood as a phase crossover triggered by the level of frustration. The source of this frustration is proposed as an internal conflict between two areas of attitudes of the society members, personal and economic, which are shaped by personality traits possibly modified by life experience.
