General constitutive model for supercooled liquids : Anomalous transverse wave propagation
General constitutive model for supercooled liquids : Anomalous transverse wave propagation
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过冷液体的一般本构模型：反常横波传播
DOI：
10.1103/physrevlett.110.095901
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Hideyuki Mizuno and Ryoichi Yamamoto
中科院分区：
文献类型：
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作者：
塚田 一郎;一瀬 中;鍋島 冬樹;今井 良宗;前田 京剛;S.Takeuchi;Hideyuki Mizuno and Ryoichi Yamamoto
横声波以一种反常的方式在过冷液体中传播：对于宏观波数，声波传播很远的距离，如在弹性固体中，而对于介观到微观波数，如在粘性液体中，声波衰减很快。在这项工作中，我们使用流体力学的双模Maxwell本构模型从理论上描述了这种异常波的传播，该模型独立于振荡剪切应变下的力学特性。为了确保麦克斯韦模型可以应用到微观长度尺度，我们将其扩展到a依赖方程，考虑到最近报道的剪切粘度和模量的依赖[a]。Furukawa和H. Tanaka，物理学家。Rev. Lett.103, 135703 (2009)PRLTAO0031-900710.1103/PhysRevLett.103.135703；答:FurukawaH。TanakaPhys。Rev. 84,061503 (2011)PLEEE81539-375510.1103/PhysRevE.84.061503]。异常波在过冷液体中的传播也可以理解为许多独立正模的线性耦合，就像在非晶固体中一样。
A transverse acoustic wave propagates through supercooled liquids in an anomalous manner: for a macroscopic wave number, the wave propagates long distances, as in elastic solids, whereas it attenuates rapidly for a mesoscopic to microscopic wave number, as in viscous liquids. In this work, we theoretically describe this anomalous wave propagation using the hydrodynamics of the two-mode Maxwell constitutive model, which were determined independently from the mechanical properties under oscillatory shear strains. To ensure that the Maxwell model can be applied down to a microscopic length scale, we extended it to a-dependent equation, taking into account the recently reporteddependences of the shear viscosity and modulus [A. Furukawa and H. Tanaka, Phys. Rev. Lett. 103, 135703 (2009)PRLTAO0031-900710.1103/PhysRevLett.103.135703; A. FurukawaH. TanakaPhys. Rev. E 84, 061503 (2011)PLEEE81539-375510.1103/PhysRevE.84.061503]. The anomalous wave propagation in supercooled liquids can also be understood in terms of a linear coupling of many independent normal modes, as in amorphous solids.