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

doi:10.1088/1674-1056/20/2/026401

Abstract The string model for the glass transition can quantitatively describe the universal $\alpha$-relaxation in glassformers. The string relaxation equation (SRE) of the model simplifies the well-known Debye and Rouse–Zimm relaxation equations at high and low enough temperatures, respectively. However, its initial condition, necessary to the further model predictions of glassy dynamics, has not been solved. In this paper, the general initial condition of the SRE for stochastically spatially configurative strings is solved exactly based on the obtained special initial condition of the SRE for straight strings in a previous paper (J. L. Zhang et al. 2010 Chin. Phys. B 19, 056403).

Keywords: glass transition relaxation phenomenon dielectric relaxation

Received: 25 January 2010
Revised: 30 July 2010
Accepted manuscript online:

PACS:	64.70.qd	(Thermodynamics and statistical mechanics)
	77.22.Gm	(Dielectric loss and relaxation)
	76.20.+q	(General theory of resonances and relaxations)
	64.60.De	(Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.))

Fund: 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) and the Natural Science Foundations of Xinjiang Science and Technology Department (Grant Nos. 200821104 and 200821184).

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Zhang Jin-Lu(张晋鲁), Wang Li-Na(王丽娜), Zhao Xing-Yu(赵兴宇), Zhang Li-Li(张丽丽), Zhou Heng-Wei(周恒为), Wei Lai(卫来), and Huang Yi-Neng(黄以能) vgluept Solving the initial condition of the string relaxation equation of the string model for glass transition: part-II 2011 Chin. Phys. B 20 026401

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

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