Pousaneh F, de Wijn AS. Kinetic Theory and Shear Viscosity of Dense Dipolar Hard Sphere Liquids.
PHYSICAL REVIEW LETTERS 2020;
124:218004. [PMID:
32530688 DOI:
10.1103/physrevlett.124.218004]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/17/2019] [Accepted: 04/27/2020] [Indexed: 06/11/2023]
Abstract
Transport properties of dense fluids are fundamentally challenging, because the powerful approaches of equilibrium statistical physics cannot be applied. Polar fluids compound this problem, because the long-range interactions preclude the use of a simple effective diameter approach based solely on hard spheres. Here, we develop a kinetic theory for dipolar hard-sphere fluids that is valid up to high density. We derive a mathematical approximation for the radial distribution function at contact directly from the equation of state, and use it to obtain the shear viscosity. We also perform molecular-dynamics simulations of this system and extract the shear viscosity numerically. The theoretical results compare favorably to the simulations.
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