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

作　　者：张晋鲁 王丽娜 周恒为 张丽丽 赵兴宇 黄以能 

机构地区：[1]Department of Physics and National Lab of Solid State Microstructures,Nanjing University [2]Xinjiang Lab of Phase-transitions and Microstructures of Condensed Matters,Yili Normal University

出　　处：《Chinese Physics B》2010年第5期450-459,共10页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundations of China (Grant Nos. 10774064 and 30860076);the Key Foundation of Xinjiang Education Department (Grant No. XJEDU2007137);the Natural Science Foundations of Xinjiang Science and Technology Department of China (Grant Nos. 2008211042 and 200821184)

摘　　要：The string model for the glass transition can quantitatively describe the universal a-relaxation in glassformers, including the average relaxation time, the distribution function of the relaxation time, and the relaxation strength as functions of temperature. The string relaxation equation （SRE） of the model, at high enough temperatures, simplifies to the well-known single particle mean-field Debye relaxation equation, and at low enough temperatures to the well-known Rouse-Zimm relaxation equation that describes the relaxation dynamics of linear macromolecules. However, its initial condition, necessary to the further model predictions of glassy dynamics, has not been solved. In this paper, the special initial condition （SIC） of the SRE, i.e. for straight strings and the dielectric spectrum technique that is one of the most common methods to measure the glassy dynamics, was solved exactly. It should be expected that the obtained SIC would benefit the solution of the general initial condition of the SRE of the string model, i.e. for stochastically spatially eonfigurating strings, as will be described in separate publications.The string model for the glass transition can quantitatively describe the universal a-relaxation in glassformers, including the average relaxation time, the distribution function of the relaxation time, and the relaxation strength as functions of temperature. The string relaxation equation （SRE） of the model, at high enough temperatures, simplifies to the well-known single particle mean-field Debye relaxation equation, and at low enough temperatures to the well-known Rouse-Zimm relaxation equation that describes the relaxation dynamics of linear macromolecules. However, its initial condition, necessary to the further model predictions of glassy dynamics, has not been solved. In this paper, the special initial condition （SIC） of the SRE, i.e. for straight strings and the dielectric spectrum technique that is one of the most common methods to measure the glassy dynamics, was solved exactly. It should be expected that the obtained SIC would benefit the solution of the general initial condition of the SRE of the string model, i.e. for stochastically spatially eonfigurating strings, as will be described in separate publications.

关 键 词：glass transition relaxation phenomenon dielectric relaxation 

分 类 号：O469[理学—凝聚态物理]