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  Mermin-Wagner fluctuations in 2D amorphous solids

Illing, B., Fritschi, S., Kaiser, H., Klix, C. L., Maret, G., & Keim, P. (2017). Mermin-Wagner fluctuations in 2D amorphous solids. Proceedings of the National Academy of Sciences of the United States of America, 114(8), 1856-1861. doi:10.1073/pnas.1612964114.

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Datensatz-Permalink: https://hdl.handle.net/21.11116/0000-0009-84E6-E Versions-Permalink: https://hdl.handle.net/21.11116/0000-0009-84E7-D
Genre: Zeitschriftenartikel

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 Urheber:
Illing, Bernd, Autor
Fritschi, Sebastian, Autor
Kaiser, Herbert, Autor
Klix, Christian L., Autor
Maret, Georg, Autor
Keim, Peter1, Autor           
Affiliations:
1Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063285              

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 Zusammenfassung: In a recent commentary, J. M. Kosterlitz described how D. Thouless and he got motivated to investigate melting and suprafluidity in two dimensions [Kosterlitz JM (2016) J Phys Condens Matter
28:481001]. It was due to the lack of broken translational symmetry in two dimensions—doubting the existence of 2D crystals—
and the first computer simulations foretelling 2D crystals (at least
in tiny systems). The lack of broken symmetries proposed by
D. Mermin and H. Wagner is caused by long wavelength density fluctuations. Those fluctuations do not only have structural
impact, but additionally a dynamical one: They cause the Lindemann criterion to fail in 2D in the sense that the mean squared
displacement of atoms is not limited. Comparing experimental
data from 3D and 2D amorphous solids with 2D crystals, we
disentangle Mermin–Wagner fluctuations from glassy structural
relaxations. Furthermore, we demonstrate with computer simulations the logarithmic increase of displacements with system size:
Periodicity is not a requirement for Mermin–Wagner fluctuations,
which conserve the homogeneity of space on long scales.

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Sprache(n): eng - English
 Datum: 2017
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: BibTex Citekey: RN1719
DOI: 10.1073/pnas.1612964114
 Art des Abschluß: -

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Titel: Proceedings of the National Academy of Sciences of the United States of America
  Andere : PNAS
  Andere : Proceedings of the National Academy of Sciences of the USA
  Kurztitel : Proc. Natl. Acad. Sci. U. S. A.
Genre der Quelle: Zeitschrift
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: Washington, D.C. : National Academy of Sciences
Seiten: - Band / Heft: 114 (8) Artikelnummer: - Start- / Endseite: 1856 - 1861 Identifikator: ISSN: 0027-8424
CoNE: https://pure.mpg.de/cone/journals/resource/954925427230