Ergodicity breaking transition in a glassy soft sphere system at small but non-zero temperatures.
Ergodicity breaking transition in a glassy soft sphere system at small but non-zero temperatures.
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DOI：
10.1038/s41598-018-20152-3
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发表时间：
2018-01-30
影响因子：
4.6
通讯作者：
Schmiedeberg M
中科院分区：
文献类型：
--
作者：
Maiti M;Schmiedeberg M
虽然非零温度下的玻璃化转变似乎很难用于实验、理论或模拟研究，但零温度下的干扰已经得到了非常详细的研究。基于对已成功用于研究非热干扰的能量格局的探索，我们引入了一种新的方法，该方法考虑了热激发跨越能垒的可能性。然后，我们确定软球系统的基态构型是否可访问，并因此确定该系统是否是遍历的或有效地非遍历的。有趣的是，我们发现了一个转变，在这个转变中，如果密度增加，系统实际上变得非遍历。在小而非零温度范围内的跃迁密度与温度无关，低于非热干扰的跃迁密度。这证实了最近的计算机模拟研究，即非热干扰发生在玻璃相的深处。此外，我们还证明了遍历破缺跃迁属于定向渗流的普适类。因此，我们的方法不仅使得从遍历系统到有效的非遍历系统的转换变得容易，而且有助于揭示其普适类，而且表明它与非热干扰有根本的不同。
While the glass transition at non-zero temperature seems to be hard to access for experimental, theoretical, or simulation studies, jamming at zero temperature has been studied in great detail. Motivated by the exploration of the energy landscape that has been successfully used to investigate athermal jamming, we introduce a new method that includes the possibility of the thermally excited crossing of energy barriers. We then determine whether the ground state configurations of a soft sphere system are accessible or not and as a consequence whether the system is ergodic or effectively non-ergodic. Interestingly, we find an transition where the system becomes effectively non-ergodic if the density is increased. The transition density in the limit of small but non-zero temperatures is independent of temperature and below the transition density of athermal jamming. This confirms recent computer simulation studies where athermal jamming occurs deep inside the glass phase. In addition, we show that the ergodicity breaking transition is in the universality class of directed percolation. Therefore, our approach not only makes the transition from an ergodic to an effectively non-ergodic systems easily accessible and helps to reveal its universality class but also shows that it is fundamentally different from athermal jamming.
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