magnetic monopoles truly reflect the otherwise unknown infrared physics of the SU(2) vacuum, analysis of these structures may provide important information about the confinement mechanism.

The main purpose of this paper is to extend our previous study [@hart98] of monopole currents to lattices that are larger in physical units at the smallest lattice spacings. As reviewed in Sec. \[sec\_cl\_str\], we obtained in [@hart98] a strikingly simple monopole picture at $\beta = 2.3$, 2.4. When the magnetic monopole currents are organised into separate clusters, one finds in each field configuration one and only one cluster which is very much larger than the rest and which percolates throughout the entire lattice volume. Moreover this largest cluster is alone responsible for infrared physics such as the string tension. The remaining clusters are compact objects with radii varying with length roughly as $r \propto \sqrt{l}$ and with a population that follows a power law as a function of length. We found the exponent of this power law to be consistent with a universal value of 3. This simple pattern became more confused at $\beta = 2.5$. The scaling relations for cluster size that we established in [@hart98] suggested that our $L=16$ lattice at $\beta 