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arxiv: cond-mat/0305239 · v3 · submitted 2003-05-11 · ❄️ cond-mat.stat-mech

The hexatic phase of the two-dimensional hard disks system

classification ❄️ cond-mat.stat-mech
keywords phasediskshardhexaticpositionalsystemtransitiontwo-dimensional
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We report Monte Carlo results for the two-dimensional hard disk system in the transition region. Simulations were performed in the NVT ensemble with up to 1024^2 disks. The scaling behaviour of the positional and bond-orientational order parameter as well as the positional correlation length prove the existence of a hexatic phase as predicted by the Kosterlitz-Thouless-Halperin-Nelson-Young theory. The analysis of the pressure shows that this phase is outside a possible first-order transition.

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