Abstract
The three dimensional randomly packed systems of uniform-sized spheres were simulated by four kinds of algorithms. From a multi-fractal analysis, two different kinds of fractal dimensions in the packed system were obtained by the scaling method. The results show that the difference in particle packed structure, which cannot be clearly discriminated from the relationship between the average coordination number and the void fraction in a packed system, became discriminatable by using fractal dimensions either on long or short length scales. Therefore, fractal dimensions are useful to quantitatively express the packing structure in the particle packed systems.
