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

ABSTRACT 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.

• Publication year

  2020

• Venue

  Philosophical Magazine A

• Publication date

  2020-02-11

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1080/14786435.2020.1722859arXiv 2007.08835PMID 32308566PMCID 7155839
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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