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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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Taylor & Francis
2020
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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. |
format | Online Article Text |
id | pubmed-7155839 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | Taylor & Francis |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT schracklukas modecouplingtheoryoftheglasstransitionforcolloidalliquidsinslitgeometry AT franoschthomas modecouplingtheoryoftheglasstransitionforcolloidalliquidsinslitgeometry |