🟢 CurieWeissIsing/FreeEnergy/Infinite
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.
src claim
- method
analytic, statusexact, reliabilityhigh, refs: LandauLifshitz1980 - f(β;J,h) = Jm²/2 − β⁻¹ log[2cosh(β(Jm+h))] at the SCE solution; J≤0 reduces to single-spin -β⁻¹ log[2cosh(βh)].
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@mean_field | limiting_case | 🟡 asserted | Landau-Lifshitz §149: paramagnet (m*=0) ⇒ f = -log(2)/β per site | test/models/classical/test_curie_weiss_ising.jl |
@mean_field | limiting_case | 🟡 asserted | Landau-Lifshitz §149: paramagnet (m*=0) ⇒ f = -log(2)/β per site | test/models/classical/test_curie_weiss_ising.jl |
@mean_field | limiting_case | 🟡 asserted | Landau-Lifshitz §149: paramagnet (m*=0) ⇒ f = -log(2)/β per site | test/models/classical/test_curie_weiss_ising.jl |
@mean_field | second_closed_form | 🟢 structural | Single spin in field h: f = -β⁻¹ log(2 cosh βh) | test/models/classical/test_curie_weiss_ising.jl |
@mean_field | second_closed_form | 🟢 structural | Single spin in field h: f = -β⁻¹ log(2 cosh βh) | test/models/classical/test_curie_weiss_ising.jl |
@mean_field | second_closed_form | 🟢 structural | Single spin in field h: f = -β⁻¹ log(2 cosh βh) | test/models/classical/test_curie_weiss_ising.jl |
@mean_field | second_closed_form | 🟢 structural | Single spin in field h: f = -β⁻¹ log(2 cosh βh) | test/models/classical/test_curie_weiss_ising.jl |
@mean_field | second_closed_form | 🟢 structural | Single spin in field h: f = -β⁻¹ log(2 cosh βh) | test/models/classical/test_curie_weiss_ising.jl |
@mean_field | second_closed_form | 🟢 structural | Single spin in field h: f = -β⁻¹ log(2 cosh βh) | test/models/classical/test_curie_weiss_ising.jl |
@mean_field | second_closed_form | 🟢 structural | Single spin in field h: f = -β⁻¹ log(2 cosh βh) | test/models/classical/test_curie_weiss_ising.jl |
@mean_field | second_closed_form | 🟢 structural | Single spin in field h: f = -β⁻¹ log(2 cosh βh) | test/models/classical/test_curie_weiss_ising.jl |
@mean_field | second_closed_form | 🟢 structural | Single spin in field h: f = -β⁻¹ log(2 cosh βh) | test/models/classical/test_curie_weiss_ising.jl |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(CurieWeissIsing(; 1.0 = 1.0, h = 0.0), FreeEnergy(), Infinite(); route = :limiting_case, fetch_kw = (; beta = 0.5), independent = -(log(2)) / 0.5, agree_within = 1.0e-12, refs = ["Landau-Lifshitz §149: paramagnet (m*=0) ⇒ f = -log(2)/β per site"])verify(CurieWeissIsing(; 1.0 = 1.0, h = 0.0), FreeEnergy(), Infinite(); route = :limiting_case, fetch_kw = (; beta = 0.9), independent = -(log(2)) / 0.9, agree_within = 1.0e-12, refs = ["Landau-Lifshitz §149: paramagnet (m*=0) ⇒ f = -log(2)/β per site"])verify(CurieWeissIsing(; 2.0 = 2.0, h = 0.0), FreeEnergy(), Infinite(); route = :limiting_case, fetch_kw = (; beta = 0.3), independent = -(log(2)) / 0.3, agree_within = 1.0e-12, refs = ["Landau-Lifshitz §149: paramagnet (m*=0) ⇒ f = -log(2)/β per site"])verify(CurieWeissIsing(; J = 0.0, 0.1 = 0.1), FreeEnergy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 0.3), independent = -(log(2 * cosh(0.3 * 0.1))) / 0.3, agree_within = 1.0e-12, refs = ["Single spin in field h: f = -β⁻¹ log(2 cosh βh)"])verify(CurieWeissIsing(; J = 0.0, 0.1 = 0.1), FreeEnergy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 1.0), independent = -(log(2 * cosh(1.0 * 0.1))) / 1.0, agree_within = 1.0e-12, refs = ["Single spin in field h: f = -β⁻¹ log(2 cosh βh)"])verify(CurieWeissIsing(; J = 0.0, 0.1 = 0.1), FreeEnergy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 3.0), independent = -(log(2 * cosh(3.0 * 0.1))) / 3.0, agree_within = 1.0e-12, refs = ["Single spin in field h: f = -β⁻¹ log(2 cosh βh)"])verify(CurieWeissIsing(; J = 0.0, 0.5 = 0.5), FreeEnergy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 0.3), independent = -(log(2 * cosh(0.3 * 0.5))) / 0.3, agree_within = 1.0e-12, refs = ["Single spin in field h: f = -β⁻¹ log(2 cosh βh)"])verify(CurieWeissIsing(; J = 0.0, 0.5 = 0.5), FreeEnergy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 1.0), independent = -(log(2 * cosh(1.0 * 0.5))) / 1.0, agree_within = 1.0e-12, refs = ["Single spin in field h: f = -β⁻¹ log(2 cosh βh)"])verify(CurieWeissIsing(; J = 0.0, 0.5 = 0.5), FreeEnergy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 3.0), independent = -(log(2 * cosh(3.0 * 0.5))) / 3.0, agree_within = 1.0e-12, refs = ["Single spin in field h: f = -β⁻¹ log(2 cosh βh)"])verify(CurieWeissIsing(; J = 0.0, 1.5 = 1.5), FreeEnergy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 0.3), independent = -(log(2 * cosh(0.3 * 1.5))) / 0.3, agree_within = 1.0e-12, refs = ["Single spin in field h: f = -β⁻¹ log(2 cosh βh)"])verify(CurieWeissIsing(; J = 0.0, 1.5 = 1.5), FreeEnergy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 1.0), independent = -(log(2 * cosh(1.0 * 1.5))) / 1.0, agree_within = 1.0e-12, refs = ["Single spin in field h: f = -β⁻¹ log(2 cosh βh)"])verify(CurieWeissIsing(; J = 0.0, 1.5 = 1.5), FreeEnergy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 3.0), independent = -(log(2 * cosh(3.0 * 1.5))) / 3.0, agree_within = 1.0e-12, refs = ["Single spin in field h: f = -β⁻¹ log(2 cosh βh)"])Assurance (provisional)
- level: corroborated-at-p 🟢
- cards: 12 · model ED-feasible
- RES not wired — measured residuals / confidence are not shown yet.
← Model: CurieWeissIsing · Quantity: FreeEnergy · Atlas index