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A Unified Theory for the Glass Transition Dynamics and its Singularities

Published online by Cambridge University Press:  10 February 2011

T. Odagaki ,
J. Matsui ,
M. Fujisaki  and
M. Higuchi
T. Odagaki
Affiliation:
Department of Physics, Kyushu University, Fukuoka 812–81, Japan
J. Matsui
Affiliation:
Department of Physics, Kyushu University, Fukuoka 812–81, Japan
M. Fujisaki
Affiliation:
Department of Physics, Kyushu University, Fukuoka 812–81, Japan
M. Higuchi
Affiliation:
Department of Physics, Kyushu University, Fukuoka 812–81, Japan
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Abstract

Vitrification is a gradual freezing process of supercooled liquids, during which a slow process is separated from the fast diffusive and microscopic motions. The slow process is identified as a non-trapped jump motion and can be characterized by the waiting time distribution (WTD) of the elementary relaxation process. We first show that the WTD can be expressed as a power law function in the long time limit in general with modest assumptions. Defining the glass transition temperature by vanishing diffusivity or the divergence of the mean waiting time, we relate the exponent to the Adam-Gibbs parameter Tsc(T) where T is the temperature and sc(T) is the excess entropy. We also show that the divergence of the fluctuation of WTD leads to a cross over in the non-Gaussianity and present a unified view of the dynamics in the vitrification process.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 455: Symposium T – Glasses and Glass Formers–Current Issues , 1996 , 163
Copyright
Copyright © Materials Research Society 1997

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References

REFERENCES

[1] Vogel, H., Phys. Zeit. 22, 641 (1921);Google Scholar
Fulcher, G. S., J. Am. Cer. Soc. 8, 339 (1925).Google Scholar
[2] Kauzmann, W., Chem. Rev. 43, 219 (1948).Google Scholar
[3] Angell, C. A., J. Phys. Chem. Solids 49, 863 (1988).Google Scholar
[4] Matsui, J., Miyagawa, H., Muranaka, T., Uehara, K., Odagaki, T. and Hiwatari, Y., Mol. Sim. 12, 305 (1994);Google Scholar
Matsui, J., Odagaki, T. and Hiwatari, Y., Phys. Rev. Lett. 73, 2452 (1994).Google Scholar
[5] Barrat, J. L. and Latz, A., J. Phys. : Cond. Matt. 2 4289 (1990).Google Scholar
[6] Fujisaki, M., Matsui, J. and Odagaki, T., Proceedings of YKIS'96, to be published.Google Scholar
[7] Odagaki, T., Matsui, J. and Hiwatari, Y., Mat. Res. Soc. Symp. Proc. vol. 367 (1995), 337.Google Scholar
[8] Higuchi, M. and Odagaki, T., Proceedings of YKIS'96, to be published.Google Scholar
[9] Adam, G. and Gibbs, J. H., J. Chem. Phys. 43, 139 (1965).Google Scholar
[10] Donth, E., J. non-Cryst. Sol. 53, 325 (1982);Google Scholar
Fischer, E. W., Donth, E. and Steffen, W., Phys. Rev. Lett. 68, 2344 (1992);Google Scholar
Ngai, K. L., Rendeli, R. W. and Plazek, D. J., J. Chem. Phys. 94, 3018 (1991).Google Scholar
[11] Eyring, H., “The Theory of Rate Processes”, (McGraw-Hill, New York, 1964).Google Scholar
[12] Odagaki, T., Phys. Rev. Lett. 75, 2452 (1995).Google Scholar
[13] Odagaki, T. and Hiwatari, Y., J. Phys.: Cond. Matt. 3, 5191 (1991).Google Scholar
[14] Odagaki, T., Matsui, J. and Hiwatari, Y., Physica A204 (1994), 464.Google Scholar
[15] Odagaki, T., Phys. Rev. B38 (1988), 9044.Google Scholar
[16] Kanaya, T., Tsukushi, I. and Kaji, K., Proceedings of YKIS'96, to be published.Google Scholar