Standard Tier Module
Glassy Granular Raft Dynamics
Caging and two-step relaxation of a dense 2D granular raft under homogeneous excitation: alpha-relaxation time vs jamming (VFT + MCT), MSD with a cage plateau, F_s(q,t), Debye-Waller plateau, and the Stokes-Einstein product.
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What it is
Caging and two-step relaxation of a dense 2D granular raft under homogeneous excitation: alpha-relaxation time vs jamming (VFT + MCT), MSD with a cage plateau, F_s(q,t), Debye-Waller plateau, and the Stokes-Einstein product. Deterministic, citation-backed, with a real GeoNum trust verdict on the relaxation-time integral.
Honest scope
Deterministic and citation-backed: every figure is exact arithmetic or a cited rule. Any year- or jurisdiction-indexed value is a confirmable input, never an eternal hardcode. This is a computation tool, not professional (legal, tax, medical, or financial) advice - confirm against the controlling authority for your context.
Authorities cited
- Reis, Ingale, Shattuck (2007). Caging Dynamics in a Granular Fluid. Phys. Rev. Lett. 98, 188301 - two-step F_s(q,t) and cage dynamics in a dense vibrated granular monolayer.
- Keys, Abate, Glotzer, Durian (2007). Measurement of growing dynamical length scales and prediction of the jamming transition in a granular material. Nature Physics 3, 260 - dynamical heterogeneity approaching jamming.
- Berthier & Biroli (2011). Theoretical perspective on the glass transition and amorphous materials. Rev. Mod. Phys. 83, 587 - MSD cage plateau, two-step F_s, MCT/VFT, Stokes-Einstein breakdown, the non-Gaussian parameter.
- Goetze (2009). Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory. Oxford Univ. Press - the MCT power-law divergence of the alpha time.
- Abate & Durian (2006). Approach to jamming in an air-fluidized granular bed. Phys. Rev. E 74, 031308 - homogeneously excited granular monolayer near jamming.
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