Matérn's hard-core processes are valuable point process models in spatial statistics. In order to extend their field of application, Matérn's original models are generalized here, both as point processes and particle processes. The thinning rule uses a distance-dependent probability function, which controls deletion of points close together. For this general setting, explicit formulas for first-and second-order characteristics can be given. Two examples from materials science illustrate the application of the models.

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To produce high quality casted steel or aluminum products the step of filtration is essential. To improve this filtration process an experimental study to estimate the influence of the wettability is carried out using a model system. With this model system an atomic force microscope (AFM) study to measure the adhesive force is done. The results of this study are used to simulate the agglomeration behavior of a dynamic particle system. To confirm the results of the AFM study and the computer simulation, filtration experiments are realized.These experiments as well as the simulations show a significant effect of the wetting behavior on the filtration efficiency. A high contact angle between the solid and liquid leads to an agglomeration of the impurities and with it to larger particle sizes. This finally results in a significant higher retention rate within the ceramic filter.

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