Abstract
Non-uniform mixtures with a random concentration field possess a dimensional structure depending on the method of loading, for example, in layers, through a matrix of nozzles, or by portions. Given the structure and the value of a constant isotropic diffusion coefficient, the rate of mixing by diffusion can be calculated from a measurement of the autocorrelation of the initial concentration, using the power spectral density function. Here, mixedness is specified by the variance of the concentration deviation from its average value. Conversely, a measurement of autocorrelation plus a measurement of variance at a different time yields the diffusion coefficient. It is predicted that the rate of diffusive mixing is very dependent on structure.
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