Witkoskie James B, Cao Jianshu
Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
J Chem Phys. 2006 Dec 28;125(24):244511. doi: 10.1063/1.2403874.
The authors explore aging in a general semi-Markov process with arbitrary waiting time distributions and discuss the role of trapping phenomenon in glasses in determining the waiting time distributions. In certain limits, they obtain a two-time propagator for the fractional Fokker-Planck equation through coordination, but one can generalize the construction to incorporate cutoffs in the aging of the system, i.e., the interrupted aging. The construction allows the incorporation of cutoffs in the aging of the system, and the exploration of signatures of aging effects in systems that eventually achieve equilibrium. Cutoffs in aging effects are illustrated for interrupted fractional diffusion in a harmonic potential and for the on-time probability of a quantum dot system.
作者在具有任意等待时间分布的一般半马尔可夫过程中探讨老化问题，并讨论了玻璃中的捕获现象在确定等待时间分布方面的作用。在某些极限情况下，他们通过协调得到了分数阶福克 - 普朗克方程的双时传播子，但可以将该构造推广以纳入系统老化中的截断，即中断老化。该构造允许在系统老化中纳入截断，并探索最终达到平衡的系统中老化效应的特征。通过谐振子势中的中断分数扩散以及量子点系统的开启时间概率来说明老化效应中的截断。
