Koshiro Suzuki, Hisao Hayakawa
We develop a nonequilibrium mode-coupling theory (MCT) for uniformly sheared underdamped systems, starting from the microscopic thermostatted SLLOD equation, and the corresponding Liouville equation. Special attention is paid to the translational invariance in the sheared frame, which requires an appropriate definition of the transient time-correlators. The derived MCT equations satisfy the alignment of the wavevectors, and hence manifestly translationally invariant. We show the results of the numerical calculation for the density time-correlator and the steady-state shear stress. Our theory turns out to be an extension of the theory by Fuchs and Cates (J.Rheol.53(4), 2009) to underdamped systems. Since our starting point is identical to that by Chong and Kim (Phys.Rev.E 79, 2009), the contradictions between Fuchs-Cates and Chong-Kim are resolved.
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http://arxiv.org/abs/1205.1261
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