GitHub

🟢 IsingSquare/PartitionFunction/PBC

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 transfer_matrix, reliability high, refs: Onsager 1944
  • Z = tr(T^Lx) on the symmetric transfer matrix; bond-counting differs at Lx,Ly=2.

Corroboration

regimemechanismindependencerefsfile
@onsagered_finite_size🟢 structuralBrute-force Σσ exp(-βE) over 2^(L²) configs (squarepbcbondpairs)test/models/classical/test_ising_square_pfaffian.jl
@onsagerlimiting_case🟡 assertedβ = 0: all 2^N configs weight 1 => Z = 2^Ntest/models/classical/test_ising_square_pfaffian.jl
@onsagered_finite_size🟢 structuralBrute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Ztest/verification/tfim_ising/test_ising_2x2_classical.jl
@onsagered_finite_size🟢 structuralBrute-force exact_partition cross-check of the transfer-matrix Ztest/verification/tfim_ising/test_ising_ad_thermodynamics.jl

Test calls

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

verify(IsingSquare(; Lx = L, Ly = L, J = J), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; β = β, Lx = L, Ly = L, J = J), independent = exact_partition(L, L, J, β), agree_within = 1.0e-6, refs = ["Brute-force Σ_σ exp(-βE) over 2^(L²) configs (square_pbc_bond_pairs)"])
verify(IsingSquare(; Lx = 3, Ly = 3, J = 1.0), PartitionFunction(), PBC(0); route = :limiting_case, fetch_kw = (; β = 0.0, Lx = 3, Ly = 3, J = 1.0), independent = 2.0 ^ 9, agree_within = 1.0e-6, refs = ["β = 0: all 2^N configs weight 1 => Z = 2^N"])
verify(IsingSquare(; Lx = Lx, Ly = Ly, J = J_ISING), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; β = β, Lx = Lx, Ly = Ly, J = J_ISING), independent = Z_bf, agree_within = 1.0e-10 * max(1.0, abs(Z_bf)), at = ["Lx=$(Lx)", "Ly=$(Ly)", "β=$(β)"], refs = ["Brute-force Σ_σ exp(-βE) over all 2^N configurations (independent enumeration) vs transfer-matrix Z"])
verify(IsingSquare(; Lx = L, Ly = L, J = 1.0), PartitionFunction(), PBC(0); route = :ed_finite_size, fetch_kw = (; β = β, Lx = L, Ly = L, J = 1.0), independent = exact_partition(L, L, 1.0, β), agree_within = 1.0e-6, refs = ["Brute-force exact_partition cross-check of the transfer-matrix Z"])

Assurance (provisional)

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

← Model: IsingSquare · Quantity: PartitionFunction · Atlas index