论文标题

混合旋转式ISING系统的转换

Transformations of mixed spin-class Ising systems

论文作者

Kruis, Joost

论文摘要

在如今应用ISING模型的许多字段中,通常认为自旋变量是旋转级$ \ { - 1,1 \} $或$ \ {0,1 \} $,即使对于任何二元型真实的旋转式旋转阶段的混合物,都存在适当的iSing模型分布。在这里,我们在他们的基础上表明,所有这些自旋类都是相同的,因为存在一个简单的表达式,使我们能够将变量从一种特定的旋转类混合物转换为任何其他组合,而不会更改整个系统状态的概率。

In the many fields in which the Ising model is applied nowadays, the spin variables are often assumed to be of spin-class $\{-1,1\}$ or $\{0,1\}$, even though for any mix of binary real valued spin-classes a proper Ising model distribution exists. Here we show that in their basis all these spin-classes are the same, as a simple expressions exist that allow us to transform the variables from one particular mix of spin-classes to any other combination, without changing the probabilities for the system states as a whole.

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