On the Adam-Gibbs-Kirkpatrick-Thirumalai-Wolynes scenario for the viscosity increase in glasses
On the Adam-Gibbs-Kirkpatrick-Thirumalai-Wolynes scenario for the viscosity increase in glasses
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DOI：
10.1063/1.1796231
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发表时间：
2004-10-15
影响因子：
4.4
通讯作者：
Biroli, G
中科院分区：
文献类型：
--
作者：
Bouchaud, JP;Biroli, G
我们重新阐述了由Kirkpatrick， Thirumalai和Wolynes （KTW）提出的有限维系统的平均场玻璃化转变情景的解释。Rev. A 40(1989)[45]。这使我们能够清楚地建立一个与温度有关的长度xi*，在此长度之上，平均场玻璃跃迁图必须进行修改。我们支持由KTW引入的镶嵌态，这导致了玻璃形成液体的粘度和构型熵之间的亚当-吉布斯关系。我们的论点是热力学和动力学的混合，部分受到随机能量模型的启发：小的粒子簇在低能状态下被热力学冻结，而大的粒子簇在大活化能下被动力学冻结。相关的弛豫时间是最小的“液体”簇的弛豫时间。讨论了一些物理后果。(C) 2004年美国物理研究所。
We reformulate the interpretation of the mean-field glass transition scenario for finite dimensional systems, proposed by Kirkpatrick, Thirumalai, and Wolynes (KTW) [Phys. Rev. A 40 (1989) 1045]. This allows us to establish clearly a temperature dependent length xi* above which the mean-field glass transition picture has to be modified. We argue in favor of the mosaic state introduced by KTW, which leads to the Adam-Gibbs relation between the viscosity and configurational entropy of glass forming liquids. Our argument is a mixture of thermodynamics and kinetics, partly inspired by the random energy model: small clusters of particles are thermodynamically frozen in low energy states, whereas large clusters are kinetically frozen by large activation energies. The relevant relaxation time is that of the smallest "liquid" clusters. Some physical consequences are discussed. (C) 2004 American Institute of Physics.