a condensed state wherein the largest cluster occupies a finite fraction of the system. This large structure is not static but it is constantly changing its shape while particles are exchanged between the dense and the dilute region. In order to study this heterogenous structure we analyze the cluster-size distribution $c_n$, defined as the distribution function of clusters sorted by sizes $n$. Clusters are defined from a simple overlap criterion: particles with a separation smaller than the range of alignment $R_{\theta}$ are said to share a “bond”. A cluster is then the set of all particles that are mutually bonded, and its size is the total number of particles that belong to it. In practice, we identify such structural transition through the analysis of $c_n$. Below some threshold $\text{g}^*$, the distribution of cluster sizes decays exponentially and broadens as the alignment strength increases, until it eventually becomes scale-free at $\text{g}=\text{g}^*$ (see Fig. \[fig:CDF\]). Above this value, a macroscopic phase cluster emerges which in the distribution translates into a peaked contribution at large sizes. Thus, the ‘microscopic’ finite-size clusters regime (mC) is characterized by an exponential distribution of sizes. The scale-free character $c_n\sim n^{-\alpha}$ of the cluster-size distribution in the ordered 