On the glass transition singularities and slow dynamics

T. Odagaki, J. Matsui, Y. Hiwatari

研究成果: Contribution to journalArticle査読

3 被引用数 (Scopus)

抄録

We give a unified view for the glass transition singularities and slow relaxations in supercooled liquids. On the basis of a heuristic argument, we show that the waiting time distribution (WTD) function for the non-trapped diffusive motion is given by a power-law function in the long time limit. Exploiting the lattice model for the stochastic dynamics, we show that the divergence of various moments of the WTD signifies dynamical anomalies which can be assigned to the Vogel-Fulcher (TVF), glass transition (Tg) and crossover (Tx) temperatures in supercooled liquids. Three predictions (i) the Kauzmann temperature TK = TVF, (ii) TgsC(Tg) ∼ constant and (iii) TxsC(Tx)/TgsC(T g) = 2, where sC(T) is the excess entropy per atom, are made which are consistent with experimental observations.

本文言語英語
ページ(範囲)74-83
ページ数10
ジャーナルPhysica A: Statistical Mechanics and its Applications
224
1-2
DOI
出版ステータス出版済み - 2 1 1996
外部発表はい

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

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