Grain Growth and Recrystallization L1-331

Materials ScienceMicrostructure evolutionδ=3 · standardL_DAG = 3.1📋 Stub — not mineable

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Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

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Forward model E

v_{n} (r) = M_{G} B \cdot (σ_{G} B \cdot k a pp a + P_{d} r i v in g); g r ain t o p o l o g y e v o l v es b y T 1/ T 2 s w i t c h es

Grain boundary motion driven by curvature: v_n = M_GB * sigma_GB * kappa_curvature; grains coarsen statistically following <r>^n ~ t.

L-DAG

E.curvature_flow -> O.regularize -> O.grain_statistics

E.curvature_flowO.regularizeO.grain_statistics

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 150

Well-posed; parabolic in mean-field; statistical fluctuations bounded.

Solvability C

Solver class:: Monte Carlo Potts; front-tracking; phase-field
Convergence rate q:: 2
Complexity:: principle-dependent

Specs (0)

No L2 specs registered yet for this principle.