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arXiv 0802.4179cond-mat.dis-nncond-mat.other
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玻璃化转变弦模型的弦松弛方程的初始条件:部分- I

Initial condition of the string relaxation equation of the string model for glass transition: part-I

J. L. Zhang, L. N. Wang, J. G. Jiang, L. L. Zhang, Y. N Huang

摘要:

玻璃化转变的弦模型的弦松弛方程(SRE)包含著名的德拜和Rouse-Zimm松弛方程。然而,它的初始条件,必要的模型预测的玻璃动力学,如机制的普遍初级α-和Johari-Goldstein β-松弛在玻璃成型,尚未解决。本文尝试用直接计算法对测量玻璃态动力学的最常用方法之一--介电谱法中直弦SRE的特殊初始条件进行了计算,发现该方法在实际中不可行。然而,开发了一种递归计算方法,可以精确地获得SIC。可以预期,所获得的SIC将有利于彻底解决的一般初始条件的随机空间配置字符串的字符串模型的SRE,将在单独的出版物中描述。

英文摘要:

The string relaxation equation (SRE) of the string model for the glass transition contains the well-known Debye and Rouse-Zimm relaxation equations. However, its initial condition, necessary to the model predictions of glassy dynamics, such as the mechanism of the universal primary alpha- and Johari-Goldstein beta-relaxations in glassformers, has not been solved. In this paper, the special initial condition (SIC) of the SRE of straight strings for dielectric spectrum technique, which is one of the most common methods to measure the glassy dynamics, was tentatively calculated by a direct calculation method, finding that the method has not any practical feasibility. However, a recursive calculation method was developed that allows to obtain the SIC exactly. It should be expected that the obtained SIC would benefit the thorough solution of the general initial condition of the SRE of the string model for stochastically spatially configurating strings, as will be described in separate publications.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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