Thin Film Growth Kinetics L1-337

Materials ScienceNucleation-growth-coalescenceδ=5 · challengingL_DAG = 3.7📋 Stub — not mineable

📋

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.

Read the contribution guide →Open a claim issue →

Forward model E

d n_{s} / d t = F - K \cdot n_{s} \cdot n_{0} - K n c \cdot n_{s}^{2}; i s l an dd e n s i t y sc a l es a s n_{i} s l (D / F)^{(} - c h i_{n} u c)

Stochastic thin-film growth: adatom deposition -> surface diffusion -> nucleation of islands -> coalescence -> thin film; captured by kinetic Monte Carlo or rate equations.

L-DAG

E.deposition_flux -> E.surface_diffusion -> N.pointwise -> O.film_morphology

E.deposition_fluxE.surface_diffusionN.pointwiseO.film_morphology

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 400

Well-posed forward; inversion of (D, E_mig) from N(s,t) moderately ill-conditioned (Arrhenius vs pre-factor).

Solvability C

Solver class:: Event-driven KMC; phase-field-crystal; adjoint-KMC
Convergence rate q:: 2
Complexity:: principle-dependent

Specs (0)

No L2 specs registered yet for this principle.