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Disjoining Pressure Derived from the Lennard–Jones Potential, Diffusion Equation, and Diffusion Coefficient for Submonolayer Liquid Film

Tokyo Institute of Technology, 10-4-1, Suginami-Ku, Tokyo 167-0022, Japan
Surfaces 2018, 1(1), 122-137; https://doi.org/10.3390/surfaces1010010
Received: 1 October 2018 / Revised: 31 October 2018 / Accepted: 2 November 2018 / Published: 12 November 2018
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Abstract

In magnetic hard disk drives, it is important to evaluate the replenishment effect of a submonolayer lubricant film under a more severe condition that the head–disk spacing has to be reduced from the current 0.7 nm to ~0.5 nm. In contrast to the prevailing conventional diffusion equation validated for multilayer liquid film, the author has already proposed a new diffusion equation more suitable for submonolayer film by intuitively incorporating the density reduction effect in the submonolayer liquid film. This paper presents a rigorous derivation of the disjoining pressure (DP) from Lennard–Jones potential (LJP) and formulated the diffusion equation incorporating the DP. The difference in the rigorous DP and diffusion equation from the previous versions is negligibly small except in a small film thickness less than the van der Waals (vdW) distance. The theoretical relationship between the vdW distance in the DP and the molecular force equilibrium distance in the LJP is elucidated. Rigorous derivations of the DP and diffusion equation for multilayer liquid film from the LJP are also presented. The superiority of the submonolayer diffusion equation over the conventional equation in the submonolayer film regime is demonstrated by comparing their theoretical diffusion coefficients with Waltman’s experimental data. View Full-Text
Keywords: submonolayer liquid film; disjoining pressure; diffusion equation; diffusion coefficient; Lennard–Jones potential; spreading of liquid film; lubricant replenishment; head–disk interface; magnetic disk lubricant submonolayer liquid film; disjoining pressure; diffusion equation; diffusion coefficient; Lennard–Jones potential; spreading of liquid film; lubricant replenishment; head–disk interface; magnetic disk lubricant
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Ono, K. Disjoining Pressure Derived from the Lennard–Jones Potential, Diffusion Equation, and Diffusion Coefficient for Submonolayer Liquid Film. Surfaces 2018, 1, 122-137.

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