1971
DOI: 10.1103/physreva.3.1462
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Hydrodynamics and Collective Angular-Momentum Fluctuations in Molecular Fluids

Abstract: expansion and evaluated leading terms for the phonon frequency and damping which were not available before.The rather sizable reduction in algebraic complexity using our method seen s to indicate that the next order, i. e. , the two-ring terms, is not out of reach. The study of two-ring diagrams will be much more than just a mathematical exercise. It will be a critical examination of the so-called "four-phonon process" and it will indicate the role of close-range interactions. The numerical results (5. 38)-(5.… Show more

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Cited by 54 publications
(22 citation statements)
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“…In fact, Ω cannot be strictly zero in the isotropic phase, since general considerations show that it should be one half the local shear rate. 68 In our system, however, the local shear rate in the isotropic slab wasγ ≈ 0.00025 (cf. Fig.…”
Section: Resultsmentioning
confidence: 72%
“…In fact, Ω cannot be strictly zero in the isotropic phase, since general considerations show that it should be one half the local shear rate. 68 In our system, however, the local shear rate in the isotropic slab wasγ ≈ 0.00025 (cf. Fig.…”
Section: Resultsmentioning
confidence: 72%
“…In real space the non-local description amounts to a convolution of the viscosity kernel and the strain rate distribution, Eq. (26). In the homogeneous situation where the fluid undergoes a steady shear in the x-direction with varying amplitude in the z-direction we have one non-zero shear component in the pressure tensor, namely, the P xz component.…”
Section: Non-local Responsementioning
confidence: 99%
“…The extension of the Navier-Stokes equation to deal with the coupling between the hydrodynamic flow degree of freedom u(r,t) and the microscopic molecular spin angular velocity degree of freedom (r,t) was developed long ago [12][13][14]. If I is 1/3 of the trace of the inertia tensor per unit mass, in the absence of torque and pressure gradients the extended NavierStokes equations [14,15] read for a divergence-free flow…”
Section: Introductionmentioning
confidence: 99%