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Burnup / Depletion — fuel nuclide evolution L1-358
Nuclear EngineeringBateman nuclide transmutation + flux couplingδ=5 · challengingL_DAG = 3.3📋 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.
Forward model E
dN_i/dt = -\lambda_i N_i - \sigma_a_i phi N_i + \sum_j (\lambda_{j\to i} + \sigma_c,{j\to i} phi) N_jBurnup / Depletion — fuel nuclide evolution forward model.
L-DAG
L.bateman -> L.cross_section_update -> L.flux_coupling -> int.temporal
L.batemanL.cross_section_updateL.flux_couplingint.temporal
Well-posedness W
- Existence:
- true
- Uniqueness:
- true
- Stability:
- conditional
- κ:
- 400
Conditional stability; mismatch parameters dominate at Omega bounds.
Solvability C
- Solver class:
- ORIGEN, SCALE-TRITON, Serpent-depletion
- Convergence rate q:
- 1.5
- Complexity:
- O(N log N) per iteration
Specs (0)
No L2 specs registered yet for this principle.