Institut de Physique Théorique (IPhT), CEA, France CNRS, URA 2306, F-91191 Gif-sur-Yvette, France.
J Chem Phys. 2010 Feb 7;132(5):054501. doi: 10.1063/1.3290986.
We study theoretically the nonlinear response properties of glass formers. We establish several general results, which together with the assumption of time-temperature superposition, lead to a relation between the nonlinear response and the derivative of the linear response with respect to temperature. Using results from mode-coupling theory and scaling arguments valid close to the glass transition, we obtain the frequency and temperature dependence of the nonlinear response in the alpha- and beta-regimes. Our results demonstrate that supercooled liquids are characterized by responses to external perturbations that become increasingly nonlinear as the glass transition is approached. These results are extended to the case of inhomogeneous perturbing fields.
我们从理论上研究了玻璃形成体的非线性响应特性。我们建立了几个一般的结果，这些结果与时间-温度叠加的假设相结合，导致了非线性响应与线性响应关于温度的导数之间的关系。利用模式耦合理论和在玻璃转变附近有效的标度论点的结果，我们得到了在 alpha 和 beta 区的非线性响应的频率和温度依赖性。我们的结果表明，过冷液体的特征是对外界扰动的响应，随着玻璃转变的接近，这些响应变得越来越非线性。这些结果被扩展到非均匀扰场的情况。
