๏‚›GitHub๏„

๐ŸŸข IsingTriangular/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: Wannier1950 | Houtappel1950
  • AFM (J>0): Tc = 0 (frustrated, no order). FM (J<0): Tc = 4|J|/ln 3.

Corroboration

regimemechanismindependencerefsfile
@triangularlimiting_case๐ŸŸก assertedWannier 1950: AFM triangular is fully frustrated, Tc = 0test/models/classical/test_ising_triangular.jl
@triangularsecond_closed_form๐ŸŸข structuralHoutappel 1950: FM triangular Tc = 4J
@triangularsecond_closed_form๐ŸŸข structuralHoutappel 1950: FM triangular Tc = 4J
@triangularsecond_closed_form๐ŸŸข structuralWannier 1950: fully-frustrated AF triangular Ising has no LRO โ‡’ T_c = 0test/models/classical/test_ising_triangular.jl
@triangularsecond_closed_form๐ŸŸข structuralWannier 1950: fully-frustrated AF triangular Ising has no LRO โ‡’ T_c = 0test/models/classical/test_ising_triangular.jl
@triangularsecond_closed_form๐ŸŸข structuralWannier 1950: fully-frustrated AF triangular Ising has no LRO โ‡’ T_c = 0test/models/classical/test_ising_triangular.jl

Test calls

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

verify(IsingTriangular(; J = 1.0), CriticalTemperature(), Infinite(); route = :limiting_case, independent = 0.0, agree_within = 1.0e-12, refs = ["Wannier 1950: AFM triangular is fully frustrated, Tc = 0"])
verify(IsingTriangular(; -1.0 = -1.0), CriticalTemperature(), Infinite(); route = :second_closed_form, independent = (4 * abs(-1.0)) / log(3), agree_within = 1.0e-9, refs = ["Houtappel 1950: FM triangular Tc = 4|J| / log 3"])
verify(IsingTriangular(; -2.0 = -2.0), CriticalTemperature(), Infinite(); route = :second_closed_form, independent = (4 * abs(-2.0)) / log(3), agree_within = 1.0e-9, refs = ["Houtappel 1950: FM triangular Tc = 4|J| / log 3"])
verify(IsingTriangular(; 0.5 = 0.5), CriticalTemperature(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 0, refs = ["Wannier 1950: fully-frustrated AF triangular Ising has no LRO โ‡’ T_c = 0"])
verify(IsingTriangular(; 1.0 = 1.0), CriticalTemperature(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 0, refs = ["Wannier 1950: fully-frustrated AF triangular Ising has no LRO โ‡’ T_c = 0"])
verify(IsingTriangular(; 2.0 = 2.0), CriticalTemperature(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 0, refs = ["Wannier 1950: fully-frustrated AF triangular Ising has no LRO โ‡’ T_c = 0"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 6 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

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