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We numerically study a simple fluid composed of particles having a hard-corerepulsion, complemented by two short-ranged attractive (sticky) spots at theparticle poles, which provides a simple model for equilibrium polymerization oflinear chains. The simplicity of the model allows for a close comparison, withno fitting parameters, between simulations and theoretical predictions based onthe Wertheim perturbation theory, a unique framework for the analyticprediction of the properties of self-assembling particle systems in terms ofmolecular parameter and liquid state correlation functions. This theory has notbeen subjected to stringent tests against simulation data for ordering acrossthe polymerization transition. We numerically determine many of thethermodynamic properties governing this basic form of self-assembly (energy perparticle, order parameter or average fraction of particles in the associatedstate, average chain length, chain length distribution, average end-to-enddistance of the chains, and the static structure factor) and find thatpredictions of the Wertheim theory accord remarkably well with the simulationresults

Self-assembly of patchy particles into polymer chains: A parameter-free comparison between Wertheim theory and Monte Carlo simulation