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Khrapak, Sergey (2020) Lindemann melting criterion in two dimensions. Physical Review Research, 2, 012040. American Physical Society. doi: 10.1103/PhysRevResearch.2.012040. ISSN 2643-1564.
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Official URL: https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.012040
Abstract
It is demonstrated that the Lindemann’s criterion of melting can be formulated for two-dimensional classical solids using statistical mechanics arguments. With this formulation the expressions for the melting temperature are equivalent in three and two dimensions. Moreover, in two dimensions the Lindemann’s melting criterion essentially coincides with the Berezinskii-Kosterlitz-Thouless-Halperin-Nelson-Young melting condition of dislocation unbinding.
| Item URL in elib: | https://elib.dlr.de/134293/ | ||||||||
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| Document Type: | Article | ||||||||
| Title: | Lindemann melting criterion in two dimensions | ||||||||
| Authors: |
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| Date: | 19 February 2020 | ||||||||
| Journal or Publication Title: | Physical Review Research | ||||||||
| Refereed publication: | Yes | ||||||||
| Open Access: | Yes | ||||||||
| Gold Open Access: | No | ||||||||
| In SCOPUS: | No | ||||||||
| In ISI Web of Science: | Yes | ||||||||
| Volume: | 2 | ||||||||
| DOI: | 10.1103/PhysRevResearch.2.012040 | ||||||||
| Page Range: | 012040 | ||||||||
| Publisher: | American Physical Society | ||||||||
| ISSN: | 2643-1564 | ||||||||
| Status: | Published | ||||||||
| Keywords: | melting, freezing, Lindemann's melting criterion, phase transitions, phase transitions in 2D systems, 2D crystals and fluids, elastic moduli | ||||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||||
| HGF - Program: | Space | ||||||||
| HGF - Program Themes: | Research under Space Conditions | ||||||||
| DLR - Research area: | Raumfahrt | ||||||||
| DLR - Program: | R FR - Research under Space Conditions | ||||||||
| DLR - Research theme (Project): | R - Komplexe Plasmen / Theory, Simulation (old) | ||||||||
| Location: | Oberpfaffenhofen | ||||||||
| Institutes and Institutions: | Institute of Materials Physics in Space > Research Group Complex Plasma | ||||||||
| Deposited By: | Khrapak, Sergey | ||||||||
| Deposited On: | 06 Mar 2020 12:56 | ||||||||
| Last Modified: | 19 Nov 2021 20:39 |
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