Relationship Between the Formation of Clusters in Electrorheological Fluids and Their Fractal Dimension

In this paper, the scaling properties of aggregation of particles in electrorheological fluids (ERF) are analyzed. It is found that the cluster size is related to both the space dimension and its fractal dimension, i. e. the structure of cluster. By analyzing the experimental data and the results of computer simulations we have shown that the fractal dimension of the particle clusters in ERF is one for 2-dimensional space and 5/4 for 3-dimensional space.