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Asymptotic laws and preasymptotic correction formulas for the relaxation near glass-transition singularities
Open accessAbstract
Within the mode-coupling theory (MCT) for the dynamics of simple liquids, the leading corrections to the asymptotic solutions for the relaxation in the vicinity of an ideal glass transition are derived. The formulas are used to determine the range of validity of the scaling-law description of the MCT results for the \ensuremath{\alpha} and \ensuremath{\mathrm{B}} processes in glass-forming systems. Solutions of the MCT equations of motion are calculated for a hard-sphere colloidal suspension model and compared with the derived analytical results. The leading-order formulas are shown to describe the major qualitative features of the bifurcation scenario near the transition and the leading-plus-next-to-leading-order formulas are demonstrated to give a quantitative description of the evolution of structural relaxation for the model.
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Cites
Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics
Cole, K. S., & Cole, R. H. (1941) · The Journal of Chemical Physics · doi:10.1063/1.1750906 · Cited by 10,152
Edwards, S. F., & Anderson, P. W. (1975) · Journal of Physics F: Metal Physics · doi:10.1088/0305-4608/5/5/017 · Cited by 3,991
Cited by
Recent tests of the mode-coupling theory for glassy dynamics
Götze, W. (1999) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/11/10a/002 · Cited by 706
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Metadata
- Authors
- Franosch, T., Fuchs, M., Götze, W., Mayr, M. R., & Singh, A. P.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1997-06-01
- Volume
- 55
- Issue
- 6
- Pages
- 7153-7176
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2076614147
- Cited by
- 217
- References
- 2
- FWCI
- 15.69
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Asymptotic laws and preasymptotic correction formulas for the relaxation near glass-transition singularities. https://app.cochat.ai/papers/10.1103/physreve.55.7153
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- Franosch, T., Fuchs, M., Götze, W., Mayr, M. R., & Singh, A. P. (1997). Asymptotic laws and preasymptotic correction formulas for the relaxation near glass-transition singularities. Physical Review E. https://doi.org/10.1103/physreve.55.7153
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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