Ballani, FelixDaley, DarylStoyan, D2015-12-070927-0256http://hdl.handle.net/1885/25204The modelling of the geometrical structure of a special kind of concrete is discussed. It is a matter of self-flowing refractory castables with spherical grains. The system of hard spheres is compared to several well-established models of spatial statistics and statistical physics as well as to a model used by concrete engineers. It turns out that the structure can be well described by the latter model and a further newly developed model, which is similar to a marked Gibbs process. The result is based on the comparison of common summary statistics like the pair correlation function and the spherical contact distribution function.Keywords: Correlation theory; Gibbs free energy; Mathematical models; Microstructure; Refractory concrete; Spheres; Statistical process control; Dense random packing; Hard spheres; Marked Gibbs process; RSA models; Concretes Dense random packing; Hard spheres; Marked Gibbs process; RSA model200610.1016/j.commatsci.2005.03.0052015-12-07