| Issue |
EPL
Volume 103, Number 5, September 2013
|
|
|---|---|---|
| Article Number | 56003 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
| DOI | https://doi.org/10.1209/0295-5075/103/56003 | |
| Published online | 02 October 2013 | |
Breakdown of a renormalized perturbation expansion around mode-coupling theory of the glass transition
1 Department of Chemistry, Colorado State University - Fort Collins, CO 80523, USA
2 Yukawa Institute for Theoretical Physics, Kyoto University - Kyoto 606-8502, Japan
Received: 23 May 2013
Accepted: 6 September 2013
We analyze a renormalized perturbation expansion around the mode-coupling theory of the glass transition. We focus on the long-time limit of the irreducible memory function. We discuss a renormalized diagrammatic expansion for this function and re-sum two infinite classes of diagrams. We show that the resulting contributions to the irreducible memory function diverge at the mode-coupling transition. A further re-summation of ladder diagrams constructed by iterating these divergent contributions gives a finite result which cancels the mode-coupling theory's expression for the irreducible memory function.
PACS: 64.70.Q- – Theory and modeling of the glass transition / 64.70.P- – Glass transitions of specific systems / 61.20.Lc – Time-dependent properties; relaxation
© EPLA, 2013
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