RFIM — model index
Random-Field Ising Model: H = -J Σ σσ - Σ h_i σ_i with quenched i.i.d. random fields of variance Δ² (Gaussian or bimodal ±√Δ²). The Imry-Ma (1975) argument gives the lower critical dimension d_l = 2: for d ≤ 2, Δ > 0 there is no long-range ferromagnetic order at any positive temperature.
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 RFIM. 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): analytic_imry_ma
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
CriticalTemperature | 🟢 hub |
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [143]
- J. Bricmont and A. Kupiainen. Lower critical dimension for the random-field Ising model. Physical Review Letters 59, 1829–1832 (1987).
- [144]
- J. Z. Imbrie. The ground state of the three-dimensional random-field Ising model. Communications in Mathematical Physics 98, 145–176 (1985).
- [141]
- Y. Imry and S.-k. Ma. Random-Field Instability of the Ordered State of Continuous Symmetry. Physical Review Letters 35, 1399–1401 (1975).