IsingChain1D — model index
Classical 1-D Ising chain with nearest-neighbour exchange J and uniform longitudinal field h:
H = -J Σ_i σ_i σ_{i+1} - h Σ_i σ_i, σ_i ∈ {-1, +1}.
λ_± = e^{β J} cosh(β h) ± √( e^{2 β J} sinh²(β h) + e^{-2 β J} ).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 IsingChain1D. 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 | 7 |
| 🔵 coherent | 0 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 1 |
| total claimed hubs | 8 |
Methods (from @register, derived): analytic
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
CorrelationLength | 🟢 hub |
CriticalTemperature | 🟢 hub |
Energy | 🟠 hub |
FreeEnergy | 🟢 hub |
SpecificHeat | 🟢 hub |
SpontaneousMagnetization | 🟢 hub |
SusceptibilityZZ | 🟢 hub |
ThermalEntropy | 🟢 hub |
Derivation notes
Matched by filename substring (no annotation; substrate-derived):
ad-thermodynamics-from-z.mdising-cft-magnetic-perturbation.mdising-cft-primary-operators.mdising-scaling-relations.mdkramers-wannier-duality.mdtransfer-matrix-symmetric-split.md
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [138]
- S. G. BRUSH. History of the Lenz-Ising Model. Reviews of Modern Physics 39, 883–893 (1967).
- [137]
- E. Ising. Beitrag zur Theorie des Ferromagnetismus. Zeitschrift für Physik 31, 253–258 (1925).