Two-dimensional melting: from liquid-hexatic coexistence to continuous transitions
The phase diagram of two-dimensional continuous particle systems is studied using the event-chain Monte Carlo algorithm. For soft disks with repulsive power-law interactions ∝r^{-n} with n≳6, the recently established hard-disk melting scenario (n→∞) holds: a first-order liquid-hexatic and a continuo...
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| Veröffentlicht in: | Physical review letters 2015-01, Vol.114 (3), p.035702-035702, Article 035702 |
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| creator | Kapfer, Sebastian C Krauth, Werner |
| description | The phase diagram of two-dimensional continuous particle systems is studied using the event-chain Monte Carlo algorithm. For soft disks with repulsive power-law interactions ∝r^{-n} with n≳6, the recently established hard-disk melting scenario (n→∞) holds: a first-order liquid-hexatic and a continuous hexatic-solid transition are identified. Close to n=6, the coexisting liquid exhibits very long orientational correlations, and positional correlations in the hexatic are extremely short. For n≲6, the liquid-hexatic transition is continuous, with correlations consistent with the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) scenario. To illustrate the generality of these results, we demonstrate that Yukawa particles likewise may follow either the KTHNY or the hard-disk melting scenario, depending on the Debye-Hückel screening length as well as on the temperature. |
| doi_str_mv | 10.1103/physrevlett.114.035702 |
| format | Article |
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For soft disks with repulsive power-law interactions ∝r^{-n} with n≳6, the recently established hard-disk melting scenario (n→∞) holds: a first-order liquid-hexatic and a continuous hexatic-solid transition are identified. Close to n=6, the coexisting liquid exhibits very long orientational correlations, and positional correlations in the hexatic are extremely short. For n≲6, the liquid-hexatic transition is continuous, with correlations consistent with the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) scenario. To illustrate the generality of these results, we demonstrate that Yukawa particles likewise may follow either the KTHNY or the hard-disk melting scenario, depending on the Debye-Hückel screening length as well as on the temperature.</description><identifier>ISSN: 0031-9007</identifier><identifier>EISSN: 1079-7114</identifier><identifier>DOI: 10.1103/physrevlett.114.035702</identifier><identifier>PMID: 25659008</identifier><language>eng</language><publisher>United States</publisher><subject>Correlation ; Disks ; Liquids ; Melting ; Monte Carlo methods ; Phase diagrams ; Screening ; Two dimensional</subject><ispartof>Physical review letters, 2015-01, Vol.114 (3), p.035702-035702, Article 035702</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c511t-f3128ab5ea447b5c5676b632e1b04499eadee5c5d636a6f5883f17d4fd4193b03</citedby><cites>FETCH-LOGICAL-c511t-f3128ab5ea447b5c5676b632e1b04499eadee5c5d636a6f5883f17d4fd4193b03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,2863,2864,27901,27902</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/25659008$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Kapfer, Sebastian C</creatorcontrib><creatorcontrib>Krauth, Werner</creatorcontrib><title>Two-dimensional melting: from liquid-hexatic coexistence to continuous transitions</title><title>Physical review letters</title><addtitle>Phys Rev Lett</addtitle><description>The phase diagram of two-dimensional continuous particle systems is studied using the event-chain Monte Carlo algorithm. For soft disks with repulsive power-law interactions ∝r^{-n} with n≳6, the recently established hard-disk melting scenario (n→∞) holds: a first-order liquid-hexatic and a continuous hexatic-solid transition are identified. Close to n=6, the coexisting liquid exhibits very long orientational correlations, and positional correlations in the hexatic are extremely short. For n≲6, the liquid-hexatic transition is continuous, with correlations consistent with the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) scenario. 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| source | American Physical Society Journals |
| subjects | Correlation Disks Liquids Melting Monte Carlo methods Phase diagrams Screening Two dimensional |
| title | Two-dimensional melting: from liquid-hexatic coexistence to continuous transitions |
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