Modeling diffusion in ionic, crystalline solids with internal stress gradients

Hess, Benjamin L.; Ague, Jay J.

doi:10.1016/j.gca.2023.06.004

Cited by 4 publications

(6 citation statements)

References 87 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In addition, as temperature increases, solid solutions become more ideal 50 . Consequently, mixing becomes more favorable, and the effects of compositional stress on diffusional relaxation will become more subtle 31,32 . Thus, the in uence of compositional stress may be much less apparent in high-temperature diffusion experiments than in natural garnets formed at appreciably lower temperatures (e.g., Fig.…”

Section: Discussionmentioning

confidence: 99%

“…Diffusion ux expression. We employ a multicomponent ux expression derived using gradients in relative chemical potential 32 . As relative chemical potential is de ned under arbitrary stress conditions, the ux expression allows us to incorporate compositional stress in this work 17 (equations (5-13)).…”

Section: Methodsmentioning

confidence: 99%

“…To address this profound gap in knowledge, we incorporate Larché and Cahn's composition stress theory 16,17 into a multicomponent diffusion model valid for stressed, ionic crystals 32 . We apply our treatment to garnet chemical pro les from Glen Clova, Scotland.…”

Section: Introductionmentioning

confidence: 99%

“…The work of materials scientists F. Larché and J. W. Cahn 16,17,20 , or Larché-Cahn theory, provides a unifying framework for treating the effects of stress on solid thermodynamics and kinetics. Hailed as a "milestone of 20th century thermodynamics" 15 , Larché-Cahn theory is well-established and has been widely applied 15,[21][22][23][24][25][26][27][28][29][30][31][32] .…”

Section: Introductionmentioning

confidence: 99%

“…are used for garnet. Garnet is mechanically anisotropic, but its anisotropy is low34 and can therefore be neglected to rst order28,31,32 . Compositional stress.…”

mentioning

confidence: 99%

See 4 more Smart Citations

Diffusion-induced stresses in crystals: Implications for timescales of mountain building

Hess

Ague

2023

Preprint

Self Cite

View full text Add to dashboard Cite

Intracrystalline chemical diffusion offers valuable insights into the durations of metamorphic and igneous processes. However, it can yield timescale estimates for orogenic events that are considerably shorter than those obtained via isotopic geochronology. One potential explanation for the discrepancy is that diffusion of species with different molar volumes may generate intracrystalline, compositional stresses that limit diffusional relaxation. Here, we show that compositional stress can increase the interpreted timescales of lithospheric processes by an order of magnitude or more by investigating a well-characterized garnet from the Barrovian sillimanite zone, Scotland. The garnet records sharp micrometer-scale variations in calcium and iron contents that standard diffusion treatments predict should relax in 1–10 kyr during peak thermal metamorphism. Conversely, compositional stress allows these features to persist for >100 kyr timescales, consistent with independent estimates from strontium-in-apatite tracer diffusion chronometry. Therefore, accounting for compositional stress can dramatically alter the interpretation of fundamental lithospheric processes.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…are used for garnet. Garnet is mechanically anisotropic, but its anisotropy is low34 and can therefore be neglected to rst order28,31,32 . Compositional stress.…”

mentioning

confidence: 99%

See 3 more Smart Citations

Diffusion-induced stresses in crystals: Implications for timescales of mountain building

Hess

Ague

2023

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

The Cahn–Hilliard model of coherent lamellar microstructure: application to alkali feldspar

Furukawa,

Tsujimori

2024

Contrib Mineral Petrol

View full text Add to dashboard Cite

The temporal evolution of coherent lamellar microstructures is significantly influenced by their elastic properties, particularly when the exsolved phases are coherent. This research utilizes the Cahn–Hilliard model to examine the morphological and energetic evolution of binary alkali feldspar, integrating anisotropic elastic energy into the Gibbs energy equation. The Cahn–Hilliard model successfully simulated the orientation of lamellae observed in natural samples and the elastic strain was consistent with previous research. We also computed the coherent solvus from the annealing simulation of various precursor compositions and temperatures. The temperature difference ($$\Delta T$$ Δ T ) between the strain-free solvus and the coherent solvus was $$\Delta T = 85\,{}^\circ \text {C}$$ Δ T = 85 ∘ C , which is slightly lower than previously reported values obtained from similar parameters. This discrepancy is likely due to the presence of non-planar lamellae at the onset of phase separation, which are more stable than planar ones. We also simulated the binodal curves of the coherent solvi for different precursor phase compositions. The computed solvi were not unique but varied depending on the precursor composition. Our model is flexible because it does not assume any specific shapes for the lamellar interfaces and is applicable to various coherent binary systems.

show abstract

Diffusion-induced stress in crystals: Implications for timescales of mountain building

Hess,

Ague

2024

Lithos

View full text Add to dashboard Cite

Modeling diffusion in ionic, crystalline solids with internal stress gradients

Cited by 4 publications

References 87 publications

Diffusion-induced stresses in crystals: Implications for timescales of mountain building

Diffusion-induced stresses in crystals: Implications for timescales of mountain building

The Cahn–Hilliard model of coherent lamellar microstructure: application to alkali feldspar

Diffusion-induced stress in crystals: Implications for timescales of mountain building

Contact Info

Product

Resources

About