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🟢 IsingSquare/SpontaneousMagnetization/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: Yang1952
  • M(T) = (1 - sinh⁻⁴(2βJ))^(1/8) for T < T_c.

Corroboration

regimemechanismindependencerefsfile
@onsagerlimiting_case🟡 assertedYang 1952: m = 0 for T >= Tctest/models/classical/test_ising_onsager_yang.jl
@onsagersecond_closed_form🟢 structuralYang 1952: m = (1 - sinh^{-4}(2βJ))^{1/8}, exponent 1/8test/models/classical/test_ising_onsager_yang.jl
@onsagersecond_closed_form🟢 structuralYang 1952: m = (1 - sinh^{-4}(2βJ))^{1/8}, exponent 1/8test/models/classical/test_ising_onsager_yang.jl
@onsagersecond_closed_form🟢 structuralYang 1952: m = (1 - sinh^{-4}(2βJ))^{1/8}, exponent 1/8test/models/classical/test_ising_onsager_yang.jl

Test calls

The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):

verify(IsingSquare(; 1.0 = 1.0), SpontaneousMagnetization(), Infinite(); route = :limiting_case, fetch_kw = (; β = 0.9 * (log(1 + sqrt(2)) / (2 * 1.0))), independent = 0.0, agree_within = 1.0e-10, refs = ["Yang 1952: m = 0 for T >= Tc"])
verify(IsingSquare(; 1.0 = 1.0), SpontaneousMagnetization(), Infinite(); route = :second_closed_form, fetch_kw = (; 1.1 * (log(1 + sqrt(2)) / (2 * 1.0)) = 1.1 * (log(1 + sqrt(2)) / (2 * 1.0))), independent = (1 - sinh(2 * (1.1 * (log(1 + sqrt(2)) / (2 * 1.0))) * 1.0) ^ -4) ^ (1 / 8), agree_within = 1.0e-9, refs = ["Yang 1952: m = (1 - sinh^{-4}(2βJ))^{1/8}, exponent 1/8"])
verify(IsingSquare(; 1.0 = 1.0), SpontaneousMagnetization(), Infinite(); route = :second_closed_form, fetch_kw = (; 1.5 * (log(1 + sqrt(2)) / (2 * 1.0)) = 1.5 * (log(1 + sqrt(2)) / (2 * 1.0))), independent = (1 - sinh(2 * (1.5 * (log(1 + sqrt(2)) / (2 * 1.0))) * 1.0) ^ -4) ^ (1 / 8), agree_within = 1.0e-9, refs = ["Yang 1952: m = (1 - sinh^{-4}(2βJ))^{1/8}, exponent 1/8"])
verify(IsingSquare(; 1.0 = 1.0), SpontaneousMagnetization(), Infinite(); route = :second_closed_form, fetch_kw = (; 2.0 * (log(1 + sqrt(2)) / (2 * 1.0)) = 2.0 * (log(1 + sqrt(2)) / (2 * 1.0))), independent = (1 - sinh(2 * (2.0 * (log(1 + sqrt(2)) / (2 * 1.0))) * 1.0) ^ -4) ^ (1 / 8), agree_within = 1.0e-9, refs = ["Yang 1952: m = (1 - sinh^{-4}(2βJ))^{1/8}, exponent 1/8"])

Assurance (provisional)

  • level: corroborated-at-p 🟢
  • cards: 4 · model ED-feasible
  • RES not wired — measured residuals / confidence are not shown yet.

← Model: IsingSquare · Quantity: SpontaneousMagnetization · Atlas index