Evidence of growing spatial correlations at the glass transition from nonlinear response experiments

Details Evidence of growing spatial correlations at the glass transition from nonlinear response experiments Evidence of growing spatial correlations at the glass transition from nonlinear response experiments

2010-02-02

arxiv.org/abs/1002.0498v2

Physics

Condensed Matter

Soft Condensed Matter

22 pages, 6 figures. With respect to v1, a few new sentences were added in the introduction and conclusion, references were up

Scientific paper

The ac nonlinear dielectric response $\chi_3(\omega,T)$ of glycerol was measured close to its glass transition temperature $T_g$ to investigate the prediction that supercooled liquids respond in an increasingly non-linear way as the dynamics slows down (as spin-glasses do). We find that $\chi_3(\omega,T)$ indeed displays several non trivial features. It is peaked as a function of the frequency $\omega$ and obeys scaling as a function of $\omega \tau(T)$, with $\tau(T)$ the relaxation time of the liquid. The height of the peak, proportional to the number of dynamically correlated molecules $N_{corr}(T)$, increases as the system becomes glassy, and $\chi_3$ decays as a power-law of $\omega$ over several decades beyond the peak. These findings confirm the collective nature of the glassy dynamics and provide the first direct estimate of the $T$ dependence of $N_{corr}$.

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