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

中国物理B ›› 2011, Vol. 20 ›› Issue (2): 26401-026401.doi: 10.1088/1674-1056/20/2/026401

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

王丽娜¹, 赵兴宇¹, 张丽丽¹, 卫来¹, 张晋鲁², 周恒为², 黄以能²

(1)Department of Physics and National Lab of Solid State Microstructures, Nanjing University, Nanjing 210093, China; (2)Department of Physics and National Lab of Solid State Microstructures, Nanjing University, Nanjing 210093, China; Key Lab of Phase-transitions and Microstructures of Condensed Matters in Xinjiang, Yili Normal University, Yining 835000, China

收稿日期:2010-01-25 修回日期:2010-07-30 出版日期:2011-02-15 发布日期:2011-02-15
基金资助:
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).

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

Zhang Jin-Lu(张晋鲁)^{a) b)†}, Wang Li-Na(王丽娜)^a), Zhao Xing-Yu(赵兴宇)^a), Zhang Li-Li(张丽丽)^a), Zhou Heng-Wei(周恒为)^{a) b)}, Wei Lai(卫来)^a), and Huang Yi-Neng(黄以能)^{a) b)‡} vglue5pt

^a Department of Physics and National Lab of Solid State Microstructures, Nanjing University, Nanjing 210093, China; ^b Key Lab of Phase-transitions and Microstructures of Condensed Matters in Xinjiang, Yili Normal University, Yining 835000, China

Received:2010-01-25 Revised:2010-07-30 Online:2011-02-15 Published:2011-02-15
Supported by:
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).

摘要/Abstract

摘要： The string model for the glass transition can quantitatively describe the universal α-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).

关键词: glass transition, relaxation phenomenon, dielectric relaxation

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).

Key words: glass transition, relaxation phenomenon, dielectric relaxation

中图分类号: (Thermodynamics and statistical mechanics)

64.70.qd

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.))

张晋鲁, 王丽娜, 赵兴宇, 张丽丽, 周恒为, 卫来, 黄以能. Solving the initial condition of the string relaxation equation of the string model for glass transition: part-II[J]. 中国物理B, 2011, 20(2): 26401-026401.

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[J]. Chin. Phys. B, 2011, 20(2): 26401-026401.

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

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

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