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arXiv 1002.0924cond-mat.softcond-mat.stat-mech
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无玻璃-玻璃相变的高阶奇异性

Higher-Order Singularities without Glass-Glass Transitions

Matthias Sperl

摘要:

在模式耦合理论的框架内,玻璃化转变的情况下进行了研究的质点系的相互作用与硬核心排斥和一个额外的方肩软核心在更大的距离。静态结构由Percus-Yevick近似势计算。对于某些宽度的肩部,沿玻璃化转变线的指数参数λ显示出双峰。在这两个峰值,λ可以达到统一,表明存在高阶玻璃化转变奇点。结果表明,这些高阶奇异性起源于避免玻璃-玻璃转变线。

英文摘要:

Within the framework of mode-coupling theory, the glass-transition scenario is investigated for a system of particles interacting with a hard-core repulsion and an additional square-shoulder soft core at larger distances. The static structure is calculated from the potential in Percus-Yevick approximation. For certain widths of the shoulder, the exponent parameter lambda along the glass-transition line shows a double peak. At both peaks, lambda can reach unity indicating the existence of higher-order glass-transition singularities. It is shown that these higher-order singularities originate from a line of avoided glass-glass transitions.

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