Short time dynamics determine glass forming ability in a glass transition two-level model: A stochastic approach using Kramers' escape formula
Short time dynamics determine glass forming ability in a glass transition two-level model: A stochastic approach using Kramers' escape formula
复制标题
短时动力学决定玻璃化转变两级模型中的玻璃形成能力：使用克莱默逃逸公式的随机方法
DOI：
10.1063/1.4977517
复制
发表时间：
2016
影响因子：
4.4
通讯作者：
G. Naumis
中科院分区：
文献类型：
--
作者：
J. Q. Toledo;G. Naumis
得到了一个简单可解的两能级玻璃景观模型的长、短时间弛豫动力学关系。这是通过Kramers的过渡理论来实现的，该理论以一种非常自然的方式出现，用于计算井间的过渡速率。然后解析求解相应的随机主方程，求出亚稳态居群。从方程的解中得到了冷却速率、特征弛豫时间和亚稳态居数之间的关系。由此得到了弛豫时间与亚稳态振荡频率的关系，即短时动力学。由于该模型能够捕获取决于冷却速率的玻璃化转变或结晶，因此这提供了一个概念性框架，例如，可以在其中讨论刚性理论的某些方面。
The relationship between short and long time relaxation dynamics is obtained for a simple solvable two-level energy landscape model of a glass. This is done through means of the Kramers’ transition theory, which arises in a very natural manner to calculate transition rates between wells. Then the corresponding stochastic master equation is analytically solved to find the population of metastable states. A relation between the cooling rate, the characteristic relaxation time, and the population of metastable states is found from the solution of such equation. From this, a relationship between the relaxation times and the frequency of oscillation at the metastable states, i.e., the short time dynamics, is obtained. Since the model is able to capture either a glass transition or a crystallization depending on the cooling rate, this gives a conceptual framework in which to discuss some aspects of rigidity theory, for example.
影响因子：
12.5
作者：
Bi, Dapeng;Yang, Xingbo;Manning, M. Lisa
通讯作者：
Manning, M. Lisa