GitHub

🟢 CurieWeissIsing/SusceptibilityZZ/Infinite

Provisional v2 view — RES not wired

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.

Assurance level: corroborated-at-p

Independently corroborated. See the cards below.

src claim

  • method analytic, status exact, reliability high, refs: LandauLifshitz1980
  • χ(β;J,h) = β(1-m²)/[1 - βJ(1-m²)] (∂m/∂h); Curie-Weiss law β/(1-βJ) at h=0, T>T_c; J≤0: β sech²(βh).

Corroboration

regimemechanismindependencerefsfile
@mean_fieldsecond_closed_form🟢 structuralCurie-Weiss law (Landau-Lifshitz §149): χ = β/(1-βJ) above T_ctest/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralCurie-Weiss law (Landau-Lifshitz §149): χ = β/(1-βJ) above T_ctest/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralCurie-Weiss law (Landau-Lifshitz §149): χ = β/(1-βJ) above T_ctest/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: χ = β sech²(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: χ = β sech²(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: χ = β sech²(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: χ = β sech²(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: χ = β sech²(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: χ = β sech²(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: χ = β sech²(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: χ = β sech²(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: χ = β sech²(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), SusceptibilityZZ(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 0.5), independent = 0.5 / (1 - 0.5 * 1.0), agree_within = 1.0e-12, refs = ["Curie-Weiss law (Landau-Lifshitz §149): χ = β/(1-βJ) above T_c"])
verify(CurieWeissIsing(; 1.0 = 1.0, h = 0.0), SusceptibilityZZ(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 0.9), independent = 0.9 / (1 - 0.9 * 1.0), agree_within = 1.0e-12, refs = ["Curie-Weiss law (Landau-Lifshitz §149): χ = β/(1-βJ) above T_c"])
verify(CurieWeissIsing(; 2.0 = 2.0, h = 0.0), SusceptibilityZZ(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 0.3), independent = 0.3 / (1 - 0.3 * 2.0), agree_within = 1.0e-12, refs = ["Curie-Weiss law (Landau-Lifshitz §149): χ = β/(1-βJ) above T_c"])
verify(CurieWeissIsing(; J = 0.0, 0.1 = 0.1), SusceptibilityZZ(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 0.3), independent = 0.3 * sech(0.3 * 0.1) ^ 2, agree_within = 1.0e-12, refs = ["Single spin in field h: χ = β sech²(βh)"])
verify(CurieWeissIsing(; J = 0.0, 0.1 = 0.1), SusceptibilityZZ(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 1.0), independent = 1.0 * sech(1.0 * 0.1) ^ 2, agree_within = 1.0e-12, refs = ["Single spin in field h: χ = β sech²(βh)"])
verify(CurieWeissIsing(; J = 0.0, 0.1 = 0.1), SusceptibilityZZ(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 3.0), independent = 3.0 * sech(3.0 * 0.1) ^ 2, agree_within = 1.0e-12, refs = ["Single spin in field h: χ = β sech²(βh)"])
verify(CurieWeissIsing(; J = 0.0, 0.5 = 0.5), SusceptibilityZZ(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 0.3), independent = 0.3 * sech(0.3 * 0.5) ^ 2, agree_within = 1.0e-12, refs = ["Single spin in field h: χ = β sech²(βh)"])
verify(CurieWeissIsing(; J = 0.0, 0.5 = 0.5), SusceptibilityZZ(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 1.0), independent = 1.0 * sech(1.0 * 0.5) ^ 2, agree_within = 1.0e-12, refs = ["Single spin in field h: χ = β sech²(βh)"])
verify(CurieWeissIsing(; J = 0.0, 0.5 = 0.5), SusceptibilityZZ(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 3.0), independent = 3.0 * sech(3.0 * 0.5) ^ 2, agree_within = 1.0e-12, refs = ["Single spin in field h: χ = β sech²(βh)"])
verify(CurieWeissIsing(; J = 0.0, 1.5 = 1.5), SusceptibilityZZ(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 0.3), independent = 0.3 * sech(0.3 * 1.5) ^ 2, agree_within = 1.0e-12, refs = ["Single spin in field h: χ = β sech²(βh)"])
verify(CurieWeissIsing(; J = 0.0, 1.5 = 1.5), SusceptibilityZZ(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 1.0), independent = 1.0 * sech(1.0 * 1.5) ^ 2, agree_within = 1.0e-12, refs = ["Single spin in field h: χ = β sech²(βh)"])
verify(CurieWeissIsing(; J = 0.0, 1.5 = 1.5), SusceptibilityZZ(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 3.0), independent = 3.0 * sech(3.0 * 1.5) ^ 2, agree_within = 1.0e-12, refs = ["Single spin in field h: χ = β sech²(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: SusceptibilityZZ · Atlas index