On the glass transition singularities and slow dynamics

T. Odagaki; J. Matsui; Y. Hiwatari

doi:10.1016/0378-4371(95)00357-6

On the glass transition singularities and slow dynamics

T. Odagaki, J. Matsui, Y. Hiwatari

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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 (T_VF), glass transition (T_g) and crossover (T_x) temperatures in supercooled liquids. Three predictions (i) the Kauzmann temperature T_K = T_VF, (ii) T_gs_C(T_g) ∼ constant and (iii) T_xs_C(T_x)/T_gs_C(T _g) = 2, where s_C(T) is the excess entropy per atom, are made which are consistent with experimental observations.

Original language	English
Pages (from-to)	74-83
Number of pages	10
Journal	Physica A: Statistical Mechanics and its Applications
Volume	224
Issue number	1-2
DOIs	https://doi.org/10.1016/0378-4371(95)00357-6
Publication status	Published - Feb 1 1996
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistics and Probability
Condensed Matter Physics

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abstract = "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.",

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T1 - On the glass transition singularities and slow dynamics

AU - Odagaki, T.

AU - Matsui, J.

AU - Hiwatari, Y.

PY - 1996/2/1

Y1 - 1996/2/1

N2 - 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.

AB - 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.

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On the glass transition singularities and slow dynamics

Abstract

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