{"uid":"cap_mmRj1m-LhGdmABKFAK6Gn","slug":"doubly-periodic-vlasov-poisson-spectral-strang-phase-space-charge-0fab034f","name":"Doubly-Periodic Vlasov-Poisson Spectral Strang Phase-Space Charge Transcript Replay","description":"Replay a complete self-consistent phase-space transport and electric-field artifact.","url":"https://detect.halowerk.com/v1/F-TD2000-GEO-INDUSTRY-B012/doubly-periodic-vlasov-poisson-spectral-strang-phase-space-charge-transcript?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"artifact":{"type":"object","required":["vlasovPoisson"],"properties":{"vlasovPoisson":{"type":"object","required":["data","claim"],"properties":{"data":{"type":"object","required":["initial_distribution","spatial_spacing","velocity_spacing","timestep","sample_steps"],"properties":{"timestep":{"type":"number","maximum":0.02,"minimum":0.0001},"sample_steps":{"type":"array","items":{"type":"integer","maximum":64,"minimum":0},"maxItems":3,"minItems":1},"spatial_spacing":{"type":"number","maximum":2,"minimum":0.1},"velocity_spacing":{"type":"number","maximum":2,"minimum":0.1},"initial_distribution":{"type":"array","items":{"type":"array","items":{"type":"number","maximum":10,"minimum":0},"maxItems":9,"minItems":5},"maxItems":9,"minItems":5}},"additionalProperties":false},"claim":{}},"additionalProperties":false}},"additionalProperties":false}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.003","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.003/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.003","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.003","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_PL7JUCLD_2wNDcfwij1zp","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.003","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Replays a complete self-consistent phase-space transport simulation using a doubly-periodic Vlasov-Poisson spectral Strang splitting scheme and returns the resulting electric-field artifact transcript.","exampleAgentPrompt":"Replay a doubly-periodic Vlasov-Poisson spectral Strang simulation for me: use a 5x5 initial distribution grid with all values between 0 and 2, spatial spacing of 0.5, velocity spacing of 0.5, timestep of 0.01, and sample at steps 0, 32, and 64 — then return the phase-space charge transcript and electric field artifact.","exampleUseCases":[{"title":"Plasma simulation consistency check","prompt":"I have a claimed Vlasov-Poisson phase-space artifact from a kinetic plasma run — can you replay it with a 7x7 initial distribution, spatial spacing 1.0, velocity spacing 1.0, timestep 0.005, sampling at steps 10, 30, and 60, and confirm the electric field transcript is self-consistent with the claim?"},{"title":"Spectral Strang kinetic transport verification","prompt":"Run a doubly-periodic spectral Strang Vlasov-Poisson replay for me: 5x6 initial distribution with values around 1.5, spatial spacing 0.3, velocity spacing 0.4, timestep 0.002, and sample at steps 0 and 32, so I can verify the transport dynamics are correct."},{"title":"Initial distribution phase-space evolution study","prompt":"Simulate the phase-space evolution of a 9x9 initial distribution using the Vlasov-Poisson spectral method — set spatial spacing to 2.0, velocity spacing to 1.5, timestep to 0.02, and sample at steps 1, 32, and 64 so I can study how the charge density transcript changes over time."}],"resultDescription":"Returns a replay of the complete phase-space transport simulation including the electric field artifact and charge density transcript at the requested sample steps, computed via doubly-periodic spectral Strang splitting of the Vlasov-Poisson system.","failureModes":["Invalid initial_distribution dimensions (must be 5–9 rows/cols)","Timestep out of range (must be 0.0001–0.02)","Spatial or velocity spacing out of range (0.1–2.0)","Sample step indices exceeding maximum of 64 or more than 3 items","Claim object mismatch causing artifact validation failure","Malformed artifact object missing required vlasovPoisson fields","Payment failure via x402 protocol"],"whenToPreferThis":"Use this endpoint when you need to replay or verify a specific Vlasov-Poisson kinetic plasma simulation with spectral Strang splitting on a doubly-periodic domain, particularly when you have a pre-claimed artifact to validate or need to reconstruct electric field evolution from an initial distribution function at specific timesteps.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-11-04T06:40:20.274Z","isFirstParty":false,"canonicalSlug":"doubly-periodic-vlasov-poisson-spectral-strang-phase-space-charge-0fab034f"}