Lois Gregg, Blawzdziewicz Jerzy, O'Hern Corey S
Department of Physics, Department of Mechanical Engineering, Yale University, New Haven, Connecticut 06520-8284, USA.
Phys Rev Lett. 2009 Jan 9;102(1):015702. doi: 10.1103/PhysRevLett.102.015702. Epub 2009 Jan 6.
We identify a link between the glass transition and percolation of regions of mobility in configuration space. We find that many hallmarks of glassy dynamics, for example, stretched-exponential response functions and a diverging structural relaxation time, are consequences of the critical properties of mean-field percolation. Specific predictions of the percolation model include the range of possible stretching exponents 1/3< or =beta< or =1 and the functional dependence of the structural relaxation time tau_{alpha} and exponent beta on temperature, density, and wave number.
我们确定了玻璃化转变与构型空间中迁移率区域渗流之间的联系。我们发现，玻璃态动力学的许多特征，例如拉伸指数响应函数和发散的结构弛豫时间，都是平均场渗流临界性质的结果。渗流模型的具体预测包括可能的拉伸指数范围1/3≤β≤1，以及结构弛豫时间τα和指数β对温度、密度和波数的函数依赖性。
