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We study the cluster size distribution of particles for a two-speciesexclusion process which involves totally asymmetric transport process of twooppositely directed species with stochastic directional switching of thespecies on a 1D lattice. As a function of $Q$ - the ratio of the translationrate and directional switching rate of particles, in the limit of $Q\rightarrow 0$, the probability distribution of the cluster size is anexponentially decaying function of cluster size $m$ and is exactly similar tothe cluster size distribution of a TASEP. For $Q>>1$, the model can be mappedto persistent exclusion process (PEP) and the average cluster size, $\langle m\rangle \propto Q^{1/2} $. We obtain an approximate expression for the averagecluster size in this limit. For finite system size system of $L$ lattice sites,for a particle number density $\rho$, the probability distribution of clustersizes exhibits a distinct peak which corresponds to the formation of a singlecluster of size $m_s = \rho L$. However this peak vanishes in the thermodynamiclimit $ L \rightarrow \infty$. Interestingly, the probability of this largestsize cluster, $P(m_s)$, exhibits scaling behaviour such that in terms of scaledvariable $Q_1 \equiv Q/L^2 \rho(1-\rho)$, data collapse is observed for theprobability of this cluster. The statistical features related to clusteringobserved for this minimal model may also be relevant for understandingclustering characteristics in {\it active } particles systems in confined 1Dgeometry.

Clustering and finite size effects in a two-species exclusion process