Research Article

Equilibrium phase diagram of a randomly pinned glass-former

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PNAS June 2, 2015 112 (22) 6914-6919; first published May 14, 2015; https://doi.org/10.1073/pnas.1500730112

  1. Edited by Pablo G. Debenedetti, Princeton University, Princeton, NJ, and approved April 16, 2015 (received for review January 13, 2015)

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Figures

  • Fig. 1.
    Fig. 1.

    (A) Entropy of the system, s, as evaluated from the thermodynamic integration, as a function of c (symbols). The entropies of the disordered solid states svib, obtained using the harmonic approximation, are drawn as solid lines. The dashed lines are a linear extrapolation from the low-c sides. (B) The configurational entropy sc=s−svib. The error bars have been estimated from the sample-to-sample fluctuations.

  • Fig. 2.
    Fig. 2.

    Distribution of the overlap [P(q)] for T=0.7 (A) and T=0.45 (B). (C) The average overlap [〈q〉] obtained from [P(q)] as a function of c for several temperatures. The error bars have been calculated using the jackknife method.

  • Fig. 3.
    Fig. 3.

    (A) T dependence of the averaged inherent structure [〈eIS〉] for several values of c. (Inset) Same quantity as a function of 1/T. (B) The average normalized saddle index k as a function of its energy eSP for several values of c. The threshold energy eth is defined by a linear extrapolation from the high-energy side.

  • Fig. 4.
    Fig. 4.

    Phase diagram of the randomly pinned system. The filled circles show the ideal glass line TK at which the configurational entropy vanishes. The diamonds show TK(q)(c) determined from the skewness of [P(q)]. The squares are dynamic transition points Td(c). The open circles show the ideal glass line TK′ determined by the linear extrapolation of Sc(c) to vanish from Fig. 1B. The iso-relaxation times are drawn by +, ×, and *. The star denoted at c=0 is a putative ideal glass transition point TK≈0.3 for the bulk reported in ref. 26.

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Equilibrium pinned glass-former
Misaki Ozawa, Walter Kob, Atsushi Ikeda, Kunimasa Miyazaki
Proceedings of the National Academy of Sciences Jun 2015, 112 (22) 6914-6919; DOI: 10.1073/pnas.1500730112
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