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Lindemann melting criterion in two dimensions

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/
Document Type:Article
Title:Lindemann melting criterion in two dimensions
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Khrapak, SergeyUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
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:24 Oct 2023 11:56

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