arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1002.0498cond-mat.softcond-mat.stat-mech
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来自非线性响应实验的玻璃化转变时空间相关性增长的证据

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

C. Crauste-Thibierge, C. Brun, F. Ladieu, D. L'Hote, G. Biroli, J-P. Bouchaud

摘要:

甘油的交流非线性介电响应$χ_3(ω,T)$测量接近其玻璃化转变温度$T_g$调查的预测,过冷液体响应越来越多的非线性的方式作为动力学减慢(自旋玻璃)。我们发现,$χ_3(ω,T)$确实显示了几个非平凡的功能。它作为频率$ω$的函数而达到峰值,并且服从作为$ωτ(T)$的函数的缩放,其中$τ(T)$是液体的弛豫时间。峰的高度与动态相关分子$N_{corr}(T)$的数量成正比,随着系统变得玻璃化而增加,并且$χ_3$在超过峰的几十年内按照$ω$的幂律衰减。这些发现证实了集体性质的玻璃态动力学,并提供了第一个直接估计的$T$依赖的$N_{corr}$。

英文摘要:

The ac nonlinear dielectric response $χ_3(ω,T)$ 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 $χ_3(ω,T)$ indeed displays several non trivial features. It is peaked as a function of the frequency $ω$ and obeys scaling as a function of $ωτ(T)$, with $τ(T)$ 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 $χ_3$ decays as a power-law of $ω$ 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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