We formulated a novel scaling rule, which can transform the information between two drastically different length scales. This formulation can be useful in the implementation of the periodic boundary conditions and is also suitable for the multiscale modeling for the integrated design of the head disk interface (HDI). To illustrate this scheme, the morphology of lubricant submonolayer films was simulated via molecular dynamics with a given cell periodicity (CP). By systematically tuning the CP by a factor of 2(n) (n, integer), we constructed the self-similar rule to link morphological parameters obtained from the moment/fractal analysis or wavelet transform as well as self-diffusion coefficients between different length scales. This scheme can be applied successively to obtain a macroscale surface and can systematically incorporate the lubricant dewetting into the air bearing design, which will be used as a full-scale integrated HDI simulator. (c) 2005 American Institute of Physics.
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