🟢 IsingChain1D/FreeEnergy/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: Ising1925
  • f(β,h) = -β^{-1} log λ_+; at h=0 reduces to -β^{-1} log(2 cosh βJ).

Corroboration

regimemechanismindependencerefsfile
@ising1dsecond_closed_form🟢 structuralIsing 1925: f = -(1/β) log(2 cosh βJ) at h = 0test/models/classical/test_ising_chain_1d.jl
@ising1dsecond_closed_form🟢 structuralIsing 1925: f = -(1/β) log(2 cosh βJ) at h = 0test/models/classical/test_ising_chain_1d.jl
@ising1dsecond_closed_form🟢 structuralIsing 1925: f = -(1/β) log(2 cosh βJ) at h = 0test/models/classical/test_ising_chain_1d.jl
@ising1dsecond_closed_form🟢 structuralIsing 1925: f(β) = -(1/β) log(2 cosh(βJ)) per sitetest/models/classical/test_ising_chain_1d.jl
@ising1dsecond_closed_form🟢 structuralIsing 1925: f(β) = -(1/β) log(2 cosh(βJ)) per sitetest/models/classical/test_ising_chain_1d.jl
@ising1dsecond_closed_form🟢 structuralIsing 1925: f(β) = -(1/β) log(2 cosh(βJ)) per sitetest/models/classical/test_ising_chain_1d.jl
@ising1dsecond_closed_form🟢 structuralIsing 1925: f(β) = -(1/β) log(2 cosh(βJ)) per sitetest/models/classical/test_ising_chain_1d.jl

Test calls

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

verify(IsingChain1D(; 1.0 = 1.0), FreeEnergy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 0.5), independent = -(1 / 0.5) * log(2 * cosh(0.5 * 1.0)), agree_within = 1.0e-10, refs = ["Ising 1925: f = -(1/β) log(2 cosh βJ) at h = 0"])
verify(IsingChain1D(; 1.0 = 1.0), FreeEnergy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 2.0), independent = -(1 / 2.0) * log(2 * cosh(2.0 * 1.0)), agree_within = 1.0e-10, refs = ["Ising 1925: f = -(1/β) log(2 cosh βJ) at h = 0"])
verify(IsingChain1D(; 1.7 = 1.7), FreeEnergy(), Infinite(); route = :second_closed_form, fetch_kw = (; beta = 1.0), independent = -(1 / 1.0) * log(2 * cosh(1.0 * 1.7)), agree_within = 1.0e-10, refs = ["Ising 1925: f = -(1/β) log(2 cosh βJ) at h = 0"])
verify(IsingChain1D(; 1.0 = 1.0), FreeEnergy(), Infinite(); route = :second_closed_form, independent = -(1 / 0.5) * log(2 * cosh(0.5 * 1.0)), agree_within = 1.0e-12, refs = ["Ising 1925: f(β) = -(1/β) log(2 cosh(βJ)) per site"], fetch_kw = (; beta = 0.5))
verify(IsingChain1D(; 1.0 = 1.0), FreeEnergy(), Infinite(); route = :second_closed_form, independent = -(1 / 1.0) * log(2 * cosh(1.0 * 1.0)), agree_within = 1.0e-12, refs = ["Ising 1925: f(β) = -(1/β) log(2 cosh(βJ)) per site"], fetch_kw = (; beta = 1.0))
verify(IsingChain1D(; 1.0 = 1.0), FreeEnergy(), Infinite(); route = :second_closed_form, independent = -(1 / 2.0) * log(2 * cosh(2.0 * 1.0)), agree_within = 1.0e-12, refs = ["Ising 1925: f(β) = -(1/β) log(2 cosh(βJ)) per site"], fetch_kw = (; beta = 2.0))
verify(IsingChain1D(; 0.5 = 0.5), FreeEnergy(), Infinite(); route = :second_closed_form, independent = -(1 / 1.0) * log(2 * cosh(1.0 * 0.5)), agree_within = 1.0e-12, refs = ["Ising 1925: f(β) = -(1/β) log(2 cosh(βJ)) per site"], fetch_kw = (; beta = 1.0))

Assurance (provisional)

  • level: corroborated-at-p 🟢
  • cards: 7 · model ED-feasible
  • RES not wired — measured residuals / confidence are not shown yet.

← Model: IsingChain1D · Quantity: FreeEnergy · Atlas index