Percolation approach to glassy dynamics with continuously broken ergodicity
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN: 1550-2376, Vol: 90, Issue: 2, Page: 020301
2014
- 7Citations
- 19Captures
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Metrics Details
- Citations7
- Citation Indexes7
- CrossRef4
- Captures19
- Readers19
- 19
Article Description
We show that the relaxation dynamics near a glass transition with continuous ergodicity breaking can be endowed with a geometric interpretation based on percolation theory. At the mean-field level this approach is consistent with the mode-coupling theory (MCT) of type-A liquid-glass transitions and allows one to disentangle the universal and nonuniversal contributions to MCT relaxation exponents. Scaling predictions for the time correlation function are successfully tested in the F12 schematic model and facilitated spin systems on a Bethe lattice. Our approach immediately suggests the extension of MCT scaling laws to finite spatial dimensions and yields predictions for dynamic relaxation exponents below an upper critical dimension of 6. © 2014 American Physical Society.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84920260995&origin=inward; http://dx.doi.org/10.1103/physreve.90.020301; http://www.ncbi.nlm.nih.gov/pubmed/25215672; https://link.aps.org/doi/10.1103/PhysRevE.90.020301; http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevE.90.020301/fulltext; http://link.aps.org/article/10.1103/PhysRevE.90.020301
American Physical Society (APS)
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