The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
Models of traps and glass phenomenology
Open accessAbstract
We study various models of independent particles hopping between energy `traps' with a density of energy barriers , on a d-dimensional lattice or on a fully connected lattice. If decays exponentially, a true dynamical phase transition between a high-temperature `liquid' phase and a low-temperature `aging' phase occurs. More generally, however, one expects that for a large class of , `interrupted' aging effects appear at low enough temperatures, with an ergodic time growing faster than exponentially. The relaxation functions exhibit a characteristic shoulder, which can be fitted as stretched exponentials. A simple way of introducing interactions between the particles leads to a modified model with an effective diffusion constant in energy space, which we discuss in detail.
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Cites
Formation of Glasses from Liquids and Biopolymers
Angell, C. A. (1995) · Science · doi:10.1126/science.267.5206.1924 · Cited by 4,799
ANALYSIS OF RECENT MEASUREMENTS OF THE VISCOSITY OF GLASSES
Fulcher, G. S. (1925) · Journal of the American Ceramic Society · doi:10.1111/j.1151-2916.1925.tb16731.x · Cited by 4,181
Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications
Bouchaud, J.-P., & Georges, A. (1990) · Physics Reports · doi:10.1016/0370-1573(90)90099-n · Cited by 4,162
Self-citationRelaxation processes in supercooled liquids
Gotze, W., & Sjogren, L. (1992) · Reports on Progress in Physics · doi:10.1088/0034-4885/55/3/001 · Cited by 2,859
Physical aging in amorphous polymers and other materials
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Random-energy model: An exactly solvable model of disordered systems
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Scaling concepts for the dynamics of viscous liquids near an ideal glassy state
Kirkpatrick, T. R., Thirumalai, D., & Wolynes, P. G. (1989) · Physical Review A · doi:10.1103/physreva.40.1045 · Cited by 1,038
Analytical solution of the off-equilibrium dynamics of a long-range spin-glass model
Cugliandolo, L. F., & Jorge Kurchan, B. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.173 · Cited by 994
Weak ergodicity breaking and aging in disordered systems
Bouchaud, J. (1992) · Journal de Physique I · doi:10.1051/jp1:1992238 · Cited by 874
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Metzler, R., Jeon, J.-H., Cherstvy, A. G., & Barkai, E. (2014) · Phys. Chem. Chem. Phys. · doi:10.1039/c4cp03465a · Cited by 1,765
Rheology of Soft Glassy Materials
Sollich, P., Lequeux, F., Hébraud, P., & Cates, M. E. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2020 · Cited by 1,116
Motility-Driven Glass and Jamming Transitions in Biological Tissues
Bi, D., Yang, X., Marchetti, M. C., & Manning, M. L. (2016) · Physical Review X · doi:10.1103/physrevx.6.021011 · Cited by 677
Crisanti, A., & Ritort, F. (2003) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/36/21/201 · Cited by 386
Tanaka, H. (2012) · The European Physical Journal E · doi:10.1140/epje/i2012-12113-y · Cited by 347
Metadata
- Authors
- Monthus, C., & Bouchaud, J.-P.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1996-07-21
- Volume
- 29
- Issue
- 14
- Pages
- 3847-3869
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2160340689
- Cited by
- 499
- References
- 28
- FWCI
- 6.76
- Type
- journal article
- Language
- en
- Open access
- bronze
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.