Kapfer Krauth 2014
From Werner KRAUTH
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| '''Abstract''' | '''Abstract''' | ||
| - | The phase diagram of two-dimensional soft disks with repulsive power-law pair interactions ∝r−n is determined using Event-Chain Monte Carlo. The recently established melting scenario for hard disks (corresponding to n=∞) is preserved for finite n, and first-order liquid-hexatic and continuous hexatic-solid transitions are identified. The density difference between the coexisting hexatic and liquid is non-monotonous as a function of n. For smaller n, the coexisting liquid shows extremely long orientational correlations, and positional correlations in the hexatic become extremely short. For n≲6, the liquid-hexatic transition is continuous, with correlations consistent with the KTHNY scenario. | + | The phase diagram of two-dimensional soft disks with repulsive power-law pair interactions ∝r^(−n) is determined using Event-Chain Monte Carlo. The recently established melting scenario for hard disks (corresponding to n=∞) is preserved for finite n, and first-order liquid-hexatic and continuous hexatic-solid transitions are identified. The density difference between the coexisting hexatic and liquid is non-monotonous as a function of n. For smaller n, the coexisting liquid shows extremely long orientational correlations, and positional correlations in the hexatic become extremely short. For n≲6, the liquid-hexatic transition is continuous, with correlations consistent with the KTHNY scenario. |
| [http://arxiv.org/pdf/1406.7224 Electronic version (from arXiv, original version)] | [http://arxiv.org/pdf/1406.7224 Electronic version (from arXiv, original version)] | ||
Revision as of 12:18, 28 July 2014
S. C. Kapfer, W. Krauth Soft-disk melting: From liquid-hexatic coexistence to continuous transitions arXiv:1406.7224 (2014)
Paper (Preprint)
Abstract The phase diagram of two-dimensional soft disks with repulsive power-law pair interactions ∝r^(−n) is determined using Event-Chain Monte Carlo. The recently established melting scenario for hard disks (corresponding to n=∞) is preserved for finite n, and first-order liquid-hexatic and continuous hexatic-solid transitions are identified. The density difference between the coexisting hexatic and liquid is non-monotonous as a function of n. For smaller n, the coexisting liquid shows extremely long orientational correlations, and positional correlations in the hexatic become extremely short. For n≲6, the liquid-hexatic transition is continuous, with correlations consistent with the KTHNY scenario.
