🟢 CurieWeissIsing/ThermalEntropy/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
  • s(β;J,h) = log[2cosh(β(Jm+h))] − β(Jm+h)m* (Gibbs); bounded [0, log 2].

Corroboration

regimemechanismindependencerefsfile
@mean_fieldlimiting_case🟡 assertedLandau-Lifshitz §149: paramagnet ⇒ s = log 2 per sitetest/models/classical/test_curie_weiss_ising.jl
@mean_fieldlimiting_case🟡 assertedLandau-Lifshitz §149: paramagnet ⇒ s = log 2 per sitetest/models/classical/test_curie_weiss_ising.jl
@mean_fieldlimiting_case🟡 assertedLandau-Lifshitz §149: paramagnet ⇒ s = log 2 per sitetest/models/classical/test_curie_weiss_ising.jl
@mean_fieldlimiting_case🟡 assertedT → 0 saturation: m → 1, fully-ordered ground state ⇒ s = 0test/models/classical/test_curie_weiss_ising.jl
@mean_fieldlimiting_case🟡 assertedT → 0 saturation: m → 1, fully-ordered ground state ⇒ s = 0test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: s = log(2 cosh βh) - βh tanh(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: s = log(2 cosh βh) - βh tanh(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: s = log(2 cosh βh) - βh tanh(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: s = log(2 cosh βh) - βh tanh(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: s = log(2 cosh βh) - βh tanh(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: s = log(2 cosh βh) - βh tanh(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: s = log(2 cosh βh) - βh tanh(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: s = log(2 cosh βh) - βh tanh(βh)test/models/classical/test_curie_weiss_ising.jl
@mean_fieldsecond_closed_form🟢 structuralSingle spin in field h: s = log(2 cosh βh) - βh tanh(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), ThermalEntropy(), Infinite(); route = :limiting_case, fetch_kw = (; beta = 0.5), independent = log(2.0), agree_within = 1.0e-14, refs = ["Landau-Lifshitz §149: paramagnet ⇒ s = log 2 per site"])
verify(CurieWeissIsing(; 1.0 = 1.0, h = 0.0), ThermalEntropy(), Infinite(); route = :limiting_case, fetch_kw = (; beta = 0.9), independent = log(2.0), agree_within = 1.0e-14, refs = ["Landau-Lifshitz §149: paramagnet ⇒ s = log 2 per site"])
verify(CurieWeissIsing(; 2.0 = 2.0, h = 0.0), ThermalEntropy(), Infinite(); route = :limiting_case, fetch_kw = (; beta = 0.3), independent = log(2.0), agree_within = 1.0e-14, refs = ["Landau-Lifshitz §149: paramagnet ⇒ s = log 2 per site"])
verify(CurieWeissIsing(; 1.0 = 1.0, 0.3 = 0.3), ThermalEntropy(), Infinite(); route = :limiting_case, fetch_kw = (; beta = 200.0), independent = 0.0, agree_within = 1.0e-10, refs = ["T → 0 saturation: m → 1, fully-ordered ground state ⇒ s = 0"])
verify(CurieWeissIsing(; 2.0 = 2.0, 0.5 = 0.5), ThermalEntropy(), Infinite(); route = :limiting_case, fetch_kw = (; beta = 200.0), independent = 0.0, agree_within = 1.0e-10, refs = ["T → 0 saturation: m → 1, fully-ordered ground state ⇒ s = 0"])
verify(CurieWeissIsing(; J = 0.0, 0.1 = 0.1), ThermalEntropy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 0.3), independent = log(2 * cosh(0.3 * 0.1)) - 0.3 * 0.1 * tanh(0.3 * 0.1), agree_within = 1.0e-12, refs = ["Single spin in field h: s = log(2 cosh βh) - βh tanh(βh)"])
verify(CurieWeissIsing(; J = 0.0, 0.1 = 0.1), ThermalEntropy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 1.0), independent = log(2 * cosh(1.0 * 0.1)) - 1.0 * 0.1 * tanh(1.0 * 0.1), agree_within = 1.0e-12, refs = ["Single spin in field h: s = log(2 cosh βh) - βh tanh(βh)"])
verify(CurieWeissIsing(; J = 0.0, 0.1 = 0.1), ThermalEntropy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 3.0), independent = log(2 * cosh(3.0 * 0.1)) - 3.0 * 0.1 * tanh(3.0 * 0.1), agree_within = 1.0e-12, refs = ["Single spin in field h: s = log(2 cosh βh) - βh tanh(βh)"])
verify(CurieWeissIsing(; J = 0.0, 0.5 = 0.5), ThermalEntropy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 0.3), independent = log(2 * cosh(0.3 * 0.5)) - 0.3 * 0.5 * tanh(0.3 * 0.5), agree_within = 1.0e-12, refs = ["Single spin in field h: s = log(2 cosh βh) - βh tanh(βh)"])
verify(CurieWeissIsing(; J = 0.0, 0.5 = 0.5), ThermalEntropy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 1.0), independent = log(2 * cosh(1.0 * 0.5)) - 1.0 * 0.5 * tanh(1.0 * 0.5), agree_within = 1.0e-12, refs = ["Single spin in field h: s = log(2 cosh βh) - βh tanh(βh)"])
verify(CurieWeissIsing(; J = 0.0, 0.5 = 0.5), ThermalEntropy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 3.0), independent = log(2 * cosh(3.0 * 0.5)) - 3.0 * 0.5 * tanh(3.0 * 0.5), agree_within = 1.0e-12, refs = ["Single spin in field h: s = log(2 cosh βh) - βh tanh(βh)"])
verify(CurieWeissIsing(; J = 0.0, 1.5 = 1.5), ThermalEntropy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 0.3), independent = log(2 * cosh(0.3 * 1.5)) - 0.3 * 1.5 * tanh(0.3 * 1.5), agree_within = 1.0e-12, refs = ["Single spin in field h: s = log(2 cosh βh) - βh tanh(βh)"])
verify(CurieWeissIsing(; J = 0.0, 1.5 = 1.5), ThermalEntropy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 1.0), independent = log(2 * cosh(1.0 * 1.5)) - 1.0 * 1.5 * tanh(1.0 * 1.5), agree_within = 1.0e-12, refs = ["Single spin in field h: s = log(2 cosh βh) - βh tanh(βh)"])
verify(CurieWeissIsing(; J = 0.0, 1.5 = 1.5), ThermalEntropy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 3.0), independent = log(2 * cosh(3.0 * 1.5)) - 3.0 * 1.5 * tanh(3.0 * 1.5), agree_within = 1.0e-12, refs = ["Single spin in field h: s = log(2 cosh βh) - βh tanh(βh)"])

Assurance (provisional)

  • level: corroborated-at-p 🟢
  • cards: 14 · model ED-feasible
  • RES not wired — measured residuals / confidence are not shown yet.

← Model: CurieWeissIsing · Quantity: ThermalEntropy · Atlas index