A simple algorithm is proposed to study structural and elastic properties of matter in the presence of structural disorder at zero temperature. The algorithm is used to determine the properties of the polydisperse soft disc system. It is shown that Poisson's ratio of the system essentially depends on the size polydispersity parameter; larger polydispersity implies larger Poisson's ratio. In the presence of any size polydispersity, Poisson's ratio increases also when the interactions between, the particles tend to the hard potential.
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