论文标题
由双孔电势触发的具有对称相位转变的模型
A model with symmetry-breaking phase transition triggered by a double-well potential
论文作者
论文摘要
在最近的一些论文中，已经表明，已经表明，已经证明了利用了$ Mathbb {Z} _2 $ -smmetry Breaking Phass Transition（$ \ Mathbb {Z} _2 $ -SBPT）的一些定理。特别是，$ \ mathbb {z} _2 $ -sbpt可以由双孔电势或以等效的方式触发哑铃形等电位表面。在本文中，我们介绍了一个具有经典$ \ mathbb {z} _2 $ -SBPT的模型，该模型由于其基本功能，以最清晰的方式显示了上面提到的$ \ mathbb {z} _2 $ -SBPT的生成机制。尽管该模型不是物理模型，但它具有具有相同类型的SBPT的所有特征。在本文的最后，与$ ϕ^4 $模型进行了比较。该模型对于教学目的可能很有用。
In some recent papers some theorems on sufficiency conditions for the occurrence of a $\mathbb{Z}_2$-symmetry breaking phase transition ($\mathbb{Z}_2$-SBPT) have been showed making use of geometric-topological concepts of potential energy landscapes. In particular, a $\mathbb{Z}_2$-SBPT can be triggered by double-well potentials, or in an equivalent way, by dumbbell-shaped equipotential surfaces. In this paper we introduce a model with a classical $\mathbb{Z}_2$-SBPT which, due to its essential feature, shows in the clearest way the generating-mechanism of a $\mathbb{Z}_2$-SBPT above mentioned. Despite the model is not a physical model, it has all the features of such a model with the same kind of SBPT. At the end of the paper a comparison with the $ϕ^4$ model is made. The model may be useful for didactic purposes.
