๐ข TASEP/SteadyStateCurrent/Infinite
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.
src claim
- method
analytic, statusexact, reliabilityhigh, refs: KardarParisiZhang1986 | DerridaEvansHakimPasquier1993 | DerridaLebowitz1998 - Mean-field TASEP steady-state current j(ฯ) = p ฯ (1โฯ); KPZ-class non-equilibrium.
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@sweep | limiting_case | ๐ก asserted | Empty/full lattice carries no current: j(0)=j(1)=0 | test/models/classical/test_tasep.jl |
@sweep | second_closed_form | ๐ข structural | TASEP mean-field steady state current j = p ฯ (1-ฯ) | test/models/classical/test_tasep.jl |
@sweep | second_closed_form | ๐ข structural | TASEP mean-field steady state current j = p ฯ (1-ฯ) | test/models/classical/test_tasep.jl |
@sweep | second_closed_form | ๐ข structural | TASEP mean-field steady state current j = p ฯ (1-ฯ) | test/models/classical/test_tasep.jl |
@sweep | second_closed_form | ๐ข structural | TASEP mean-field steady state current j = p ฯ (1-ฯ) | test/models/classical/test_tasep.jl |
@sweep | second_closed_form | ๐ข structural | Derrida 1998: TASEP steady-state J = ฯ(1-ฯ), max at ฯ=1/2 โ J = 1/4 | test/models/classical/test_tasep.jl |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(TASEP(; p = 1.0, ฯ = 0.0), SteadyStateCurrent(), Infinite(); route = :limiting_case, independent = 0.0, agree_within = 1.0e-12, refs = ["Empty/full lattice carries no current: j(0)=j(1)=0"])verify(TASEP(; 1.0 = 1.0, 0.5 = 0.5), SteadyStateCurrent(), Infinite(); route = :second_closed_form, independent = 1.0 * 0.5 * (1 - 0.5), agree_within = 1.0e-12, refs = ["TASEP mean-field steady state current j = p ฯ (1-ฯ)"])verify(TASEP(; 1.0 = 1.0, 0.3 = 0.3), SteadyStateCurrent(), Infinite(); route = :second_closed_form, independent = 1.0 * 0.3 * (1 - 0.3), agree_within = 1.0e-12, refs = ["TASEP mean-field steady state current j = p ฯ (1-ฯ)"])verify(TASEP(; 0.7 = 0.7, 0.5 = 0.5), SteadyStateCurrent(), Infinite(); route = :second_closed_form, independent = 0.7 * 0.5 * (1 - 0.5), agree_within = 1.0e-12, refs = ["TASEP mean-field steady state current j = p ฯ (1-ฯ)"])verify(TASEP(; 1.0 = 1.0, 0.9 = 0.9), SteadyStateCurrent(), Infinite(); route = :second_closed_form, independent = 1.0 * 0.9 * (1 - 0.9), agree_within = 1.0e-12, refs = ["TASEP mean-field steady state current j = p ฯ (1-ฯ)"])verify(TASEP(), SteadyStateCurrent(), Infinite(); route = :second_closed_form, independent = 0.25, agree_within = 1.0e-12, refs = ["Derrida 1998: TASEP steady-state J = ฯ(1-ฯ), max at ฯ=1/2 โ J = 1/4"])Assurance (provisional)
- level: corroborated-at-p ๐ข
- cards: 6 ยท model ED-feasible
- RES not wired โ measured residuals / confidence are not shown yet.
โ Model: TASEP ยท Quantity: SteadyStateCurrent ยท Atlas index