Non-Equilibrium Relation between Mobility and Diffusivity of Interacting Brownian Particles under Shear(Frontiers in Nonequilibrium Physics-Fundamental Theory, Glassy & Granular Materials, and Computational Physics-)
Non-Equilibrium Relation between Mobility and Diffusivity of Interacting Brownian Particles under Shear(Frontiers in Nonequilibrium Physics-Fundamental Theory, Glassy & Granular Materials, and Computational Physics-)
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剪切作用下相互作用的布朗粒子的迁移率和扩散率之间的非平衡关系（非平衡物理前沿-基础理论，玻璃态）
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
M. Fuchs
中科院分区：
文献类型：
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作者：
M. Kruger;M. Fuchs
我们用模耦合近似研究了布朗粒子在玻璃跃迁附近稳定剪切下的迁移率和扩散率之间的关系。在垂直于剪切方向的两个方向上，粒子运动长时间呈扩散，迁移率达到有限常数。然而，爱因斯坦关系只适用于短时间的笼内运动，并且在长时间内被违反。为了得到扩散率和迁移率之间的关系，我们对先前导出的关系进行了小波的极限。《社会科学》（2009），135701]，没有进一步的近似。结果与仿真结果吻合较好。此外，我们以精确的方式将流动性中的额外项拆分为三个项。其中两个是用均方位移表示的。第三种是用（不太方便的）力-力相关函数给出的。
We investigate the relation between mobility and diffusivity for Brownian particles under steady shear near the glass transition, using mode coupling approximations. For the two directions perpendicular to the shear direction, the particle motion is diffusive at long times and the mobility reaches a finite constant. Nevertheless, the Einstein relation holds only for the short-time in-cage motion and is violated for long times. In order to get the relation between diffusivity and mobility, we perform the limit of small wavevector for the relations derived previously [Phys. Rev. Lett. 102 (2009), 135701], without further approximation. We find good agreement to simulation results. Furthermore, we split the extra term in the mobility in an exact way into three terms. Two of them are expressed in terms of mean squared displacements. The third is given in terms of the (less handy) force-force correlation function.