SherringtonKirkpatrick — model index
Sherrington-Kirkpatrick mean-field Ising spin glass (Sherrington- Kirkpatrick 1975). The Hamiltonian is the canonical 1/√N random-Gaussian-coupling sum
H = -(1/√N) Σ_{i<j} J_ij σ_i σ_j, J_ij ~ N(0, J²),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 SherringtonKirkpatrick. 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 | 1 |
| 🟠 uncorroborated-but-feasible | 0 |
| total claimed hubs | 2 |
Methods (from @register, derived): analytic, variational_reference
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
CriticalTemperature | 🟢 hub |
Energy | ⚪ hub |
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [148]
- A. Crisanti and T. Rizzo. Analysis of the $\infty$-replica symmetry breaking solution of the Sherrington-Kirkpatrick model. Physical Review E 65 (2002).
- [146]
- G. Parisi. The order parameter for spin glasses: a function on the interval 0-1. Journal of Physics A: Mathematical and General 13, 1101–1112 (1980).
- [145]
- D. Sherrington and S. Kirkpatrick. Solvable Model of a Spin-Glass. Physical Review Letters 35, 1792–1796 (1975).
- [147]
- M. Talagrand. The Parisi formula. Annals of Mathematics 163, 221–263 (2006).