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๐ŸŸข IsingChain1D/CriticalTemperature/Infinite

Provisional v2 view โ€” RES not wired

Generated by docs/atlas/generate.jl โ€” 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 โ€” 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
  • No finite-temperature phase transition in 1-D; T_c = 0.

Corroboration

regimemechanismindependencerefsfile
@ising1dlimiting_case๐ŸŸก assertedIsing 1925: no finite-T order in 1D, Tc = 0test/models/classical/test_ising_chain_1d.jl
@ising1dsecond_closed_form๐ŸŸข structuralIsing 1925: 1D Ising chain has no spontaneous magnetisation at any T > 0 โ‡’ T_c = 0test/models/classical/test_ising_chain_1d.jl
@ising1dsecond_closed_form๐ŸŸข structuralIsing 1925: 1D Ising chain has no spontaneous magnetisation at any T > 0 โ‡’ T_c = 0test/models/classical/test_ising_chain_1d.jl
@ising1dsecond_closed_form๐ŸŸข structuralIsing 1925: 1D Ising chain has no spontaneous magnetisation at any T > 0 โ‡’ T_c = 0test/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(; J = 1.0), CriticalTemperature(), Infinite(); route = :limiting_case, independent = 0.0, agree_within = 1.0e-12, refs = ["Ising 1925: no finite-T order in 1D, Tc = 0"])
verify(IsingChain1D(; 0.5 = 0.5), CriticalTemperature(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 0, refs = ["Ising 1925: 1D Ising chain has no spontaneous magnetisation at any T > 0 โ‡’ T_c = 0"])
verify(IsingChain1D(; 1.0 = 1.0), CriticalTemperature(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 0, refs = ["Ising 1925: 1D Ising chain has no spontaneous magnetisation at any T > 0 โ‡’ T_c = 0"])
verify(IsingChain1D(; 2.0 = 2.0), CriticalTemperature(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 0, refs = ["Ising 1925: 1D Ising chain has no spontaneous magnetisation at any T > 0 โ‡’ T_c = 0"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 4 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: IsingChain1D ยท Quantity: CriticalTemperature ยท Atlas index