TodaLattice — model index
Classical 1-D Toda lattice (Toda 1967) with standard nearest-neighbour exponential potential V(r) = (a/b) e^{-b r} + a r - a/b. The defaults a = b = 1 give the canonical textbook form V(r) = e^{-r} + r - 1.
Generated by docs/atlas/generate.jl — a pure VIEW over the *_registry.jl claims + the static test/INVENTORY.jsonl AST scan. No test is executed and no src is run; test/INVENTORY.jsonl is regenerated in-place (idempotently) from that static scan; fetch/@register untouched. Assurance labels are PROVISIONAL: residuals / confidence are not shown yet (RES not wired). Badges reflect the committed test AST, not the latest CI run — a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.
All (Quantity, BC) hubs src claims for TodaLattice. Cells link to the per-hub card; — = not yet implemented at that BC. The shape of the matrix is the gap visualisation: empty cells are where physics could be added next.
Convention
| Field | Value |
|---|---|
| Hamiltonian | see file-header description above |
| Observable | per src/core/quantities.jl (matches the dispatch tag) |
| Reference | docs/src/conventions.md (project-wide convention policy) |
| STATUS | backfilled by PR (audit gate); per-field domain content |
Coverage
| Level | Count |
|---|---|
| 🟣 universality-corroborated | 0 |
| 🟢 corroborated-at-p | 1 |
| 🔵 coherent | 0 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 0 |
| total claimed hubs | 1 |
Methods (from @register, derived): linear_phonon
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
MassGap | 🟢 hub |
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [135]
- H. Flaschka. The Toda lattice. II. Existence of integrals. Physical Review B 9, 1924–1925 (1974).
- [134]
- M. Toda. Vibration of a Chain with Nonlinear Interaction. Journal of the Physical Society of Japan 22, 431–436 (1967).