We investigate the structural and thermodynamic properties of a new class ofpatchy colloids, referred to as inverse patchy colloids (IPCs) in their fluidphase via both theoretical methods and simulations. IPCs are nano- or micro-meter sized particles with differently charged surface regions. We extendconventional integral equation schemes to this particular class of systems: ourapproach is based on the so-called multi-density Ornstein-Zernike equation,supplemented by the associative Percus-Yevick approximation (APY). To validatethe accuracy of our framework, we compare the obtained results with dataextracted from $NpT$ and $NVT$ Monte Carlo simulations. In addition, othertheoretical approaches are used to calculate the properties of the system: thereference hypernetted-chain (RHNC) method and the Barker-Hendersonthermodynamic perturbation theory. Both APY and RHNC frameworks provideaccurate predictions for the pair distribution functions: APY results are inslightly better agreement with MC data, in particular at lower temperatureswhere the RHNC solution does not converge.
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