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Mode-coupling theory of the glass transition for colloidal liquids in slit geometry

We provide a detailed derivation of the mode-coupling equations for a colloidal liquid confined by two parallel smooth walls. We introduce irreducible memory kernels for the different relaxation channels thereby extending the projection operator technique to colloidal liquids in slit geometry. Inves...

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Autores principales: Schrack, Lukas, Franosch, Thomas
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Taylor & Francis 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7155839/
https://www.ncbi.nlm.nih.gov/pubmed/32308566
http://dx.doi.org/10.1080/14786435.2020.1722859
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author Schrack, Lukas
Franosch, Thomas
author_facet Schrack, Lukas
Franosch, Thomas
author_sort Schrack, Lukas
collection PubMed
description We provide a detailed derivation of the mode-coupling equations for a colloidal liquid confined by two parallel smooth walls. We introduce irreducible memory kernels for the different relaxation channels thereby extending the projection operator technique to colloidal liquids in slit geometry. Investigating both the collective dynamics as well as the tagged-particle motion, we prove that the mode-coupling functional assumes the same form as in the Newtonian case corroborating the universality of the glass-transition singularity with respect to the microscopic dynamics.
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spelling pubmed-71558392020-04-16 Mode-coupling theory of the glass transition for colloidal liquids in slit geometry Schrack, Lukas Franosch, Thomas Philos Mag (Abingdon) Part B: Condensed Matter Physics We provide a detailed derivation of the mode-coupling equations for a colloidal liquid confined by two parallel smooth walls. We introduce irreducible memory kernels for the different relaxation channels thereby extending the projection operator technique to colloidal liquids in slit geometry. Investigating both the collective dynamics as well as the tagged-particle motion, we prove that the mode-coupling functional assumes the same form as in the Newtonian case corroborating the universality of the glass-transition singularity with respect to the microscopic dynamics. Taylor & Francis 2020-02-11 /pmc/articles/PMC7155839/ /pubmed/32308566 http://dx.doi.org/10.1080/14786435.2020.1722859 Text en © 2020 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group https://creativecommons.org/licenses/by/4.0/This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Part B: Condensed Matter Physics
Schrack, Lukas
Franosch, Thomas
Mode-coupling theory of the glass transition for colloidal liquids in slit geometry
title Mode-coupling theory of the glass transition for colloidal liquids in slit geometry
title_full Mode-coupling theory of the glass transition for colloidal liquids in slit geometry
title_fullStr Mode-coupling theory of the glass transition for colloidal liquids in slit geometry
title_full_unstemmed Mode-coupling theory of the glass transition for colloidal liquids in slit geometry
title_short Mode-coupling theory of the glass transition for colloidal liquids in slit geometry
title_sort mode-coupling theory of the glass transition for colloidal liquids in slit geometry
topic Part B: Condensed Matter Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7155839/
https://www.ncbi.nlm.nih.gov/pubmed/32308566
http://dx.doi.org/10.1080/14786435.2020.1722859
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