The decoupling of the glass transitions in the two-component p-spin spherical model
The decoupling of the glass transitions in the two-component p-spin spherical model
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二元 p 自旋球形模型中玻璃化转变的解耦
DOI：
10.1088/1742-5468/2016/07/074006
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Harukuni Ikeda and Atsushi Ikeda
中科院分区：
文献类型：
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作者：
Ikeda Harukuni;Zamponi Francesco;Ikeda Atsushi;Masayuki Kato and Katsuhiro Hirata;Harukuni Ikeda and Atsushi Ikeda
具有不同尺寸比的大小颗粒的二元混合物在其玻璃化转变点处表现出丰富的现象学。为了深入了解这样的系统，我们介绍和研究的p-自旋球自旋玻璃模型的两个组件的版本。我们采用复型法计算自由能和相图。我们发现，当每个组件的相互作用的强度不是广泛分离，该模型只有一个玻璃相，其特征在于传统的一步复制对称性破缺。然而，当相互作用的强度被很好地分离时，该模型具有取决于温度和组分比的三个玻璃相。一种是“单一”玻璃相，其中只有一种组分的自旋被冻结，而另一种组分的自旋保持移动的。这个阶段的特点是一步复制对称性破缺。第二种是通过进一步冷却单一玻璃相获得的“双”玻璃相，其中剩余的移动的组分的自旋也被冻结。该阶段的特征是两步复制对称破缺。第三个也是“双”玻璃相，然而，它是由两个组件的自旋在相同的温度下同时冻结形成的，其特征在于一步复制对称性破缺。我们讨论的影响，这些结果的玻璃化转变的二元混合物。
Binary mixtures of large and small particles with a disparate size ratio exhibit a rich phenomenology at their glass transition points. In order to gain insights on such systems, we introduce and study a two-component version of the p-spin spherical spin glass model. We employ the replica method to calculate the free energy and the phase diagram. We show that when the strengths of the interactions of each component are not widely separated, the model has only one glass phase characterized by the conventional one-step replica symmetry breaking. However when the strengths of the interactions are well separated, the model has three glass phases depending on the temperature and component ratio. One is the'single'glass phase in which only the spins of one component are frozen while the spins of the other component remain mobile. This phase is characterized by the one-step replica symmetry breaking. The second is the'double'glass phase obtained by cooling the single glass phase further, in which the spins of the remaining mobile component are also frozen. This phase is characterized by the two-step replica symmetry breaking. The third is also the'double'glass phase, which, however, is formed by the simultaneous freezing of the spins of both components at the same temperatures and is characterized by the one-step replica symmetry breaking. We discuss the implications of these results for the glass transitions of binary mixtures.