Götze Wolfgang, Schilling Rolf
Physik Department, Technische Universität München, James-Franck-Straße 1, D-85747 Garching, Germany.
Institut für Physik, Johannes Gutenberg-Universität, Staudinger Weg 9, D-55099 Mainz, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Apr;91(4):042117. doi: 10.1103/PhysRevE.91.042117. Epub 2015 Apr 15.
Idealized glass transitions are discussed within an alternative mode-coupling theory (TMCT) proposed by Tokuyama [Physica A 395, 31 (2014)]. This is done in order to identify common ground with and differences from the conventional mode-coupling theory (MCT). It is proven that both theories imply the same scaling laws for the transition dynamics, which are characterized by two power-law decay functions and two diverging power-law time scales. However, the values for the corresponding anomalous exponents calculated within both theories differ from each other. It is proven that the TMCT, contrary to the MCT, does not describe transitions with continuously vanishing arrested parts of the correlation functions. It is also demonstrated for a schematic model that the TMCT does not lead to the MCT scenarios either for transition-line crossings or for the appearance of higher-order glass-transition singularities.
在德山提出的一种替代模式耦合理论（TMCT）[《物理A》395, 31 (2014)] 框架内讨论了理想化的玻璃化转变。这样做是为了找出与传统模式耦合理论（MCT）的共同点和差异。结果表明，这两种理论对于转变动力学都意味着相同的标度律，其特征在于两个幂律衰减函数和两个发散的幂律时间尺度。然而，在这两种理论中计算出的相应反常指数的值彼此不同。结果表明，与MCT相反，TMCT并不描述相关函数的停滞部分持续消失的转变。对于一个示意性模型还表明，无论是对于转变线交叉还是对于高阶玻璃化转变奇点的出现，TMCT都不会导致MCT的情形。
