{"paper":{"title":"Front propagation in non-homogeneous $\\phi^4$ model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A modified effective model accurately reproduces half-kink propagation in the inhomogeneous φ⁴ model.","cross_cats":["hep-ph"],"primary_cat":"nlin.PS","authors_text":"Dominika Lasa, Jacek Gatlik, Panayotis G. Kevrekidis, Tomasz Dobrowolski","submitted_at":"2026-05-15T10:26:04Z","abstract_excerpt":"We investigate the propagation of fronts in an inhomogeneous medium within the framework of the $\\phi^4$ model. The inhomogeneity is modeled either as an interface separating regions with different dissipation or as a finite layer with modified dissipation. The propagating front is described in two ways: as a kink solution in an effectively unbounded domain, and as a half-kink in a finite system. The half-kink represents the decay of the unstable state $\\phi=0$ toward the true vacuum. We show that while the effective description based on the kink provides accurate results, applying a similar a"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"A modified effective model reproduces the field-theory results for half-kink propagation in the inhomogeneous φ⁴ model over a relatively broad range of parameters.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The modeling choice that inhomogeneity enters solely through a position-dependent dissipation coefficient while leaving the potential and other terms unchanged, allowing a consistent modification of the effective description without new inconsistencies in the reduced dynamics.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"In the non-homogeneous φ⁴ model, standard effective kink descriptions match field results well, but half-kink descriptions require a modified effective model to reproduce the full field-theory propagation speeds and profiles over a broad parameter range.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A modified effective model accurately reproduces half-kink propagation in the inhomogeneous φ⁴ model.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"1f0676741f1eb7217ca7ff58d1762feb8567e74b64d8e33fcc0a2cd92e768047"},"source":{"id":"2605.15826","kind":"arxiv","version":1},"verdict":{"id":"144217cc-552f-4650-aefa-93c39bdbe1a4","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T17:46:16.329234Z","strongest_claim":"A modified effective model reproduces the field-theory results for half-kink propagation in the inhomogeneous φ⁴ model over a relatively broad range of parameters.","one_line_summary":"In the non-homogeneous φ⁴ model, standard effective kink descriptions match field results well, but half-kink descriptions require a modified effective model to reproduce the full field-theory propagation speeds and profiles over a broad parameter range.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The modeling choice that inhomogeneity enters solely through a position-dependent dissipation coefficient while leaving the potential and other terms unchanged, allowing a consistent modification of the effective description without new inconsistencies in the reduced dynamics.","pith_extraction_headline":"A modified effective model accurately reproduces half-kink propagation in the inhomogeneous φ⁴ model."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.15826/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_compliance","ran_at":"2026-05-19T18:01:22.744686Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T18:01:18.590670Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T17:33:48.721666Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T17:21:55.865329Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"37febfaffbe7e5e92af71c13172772657486602a9b59268c9f90836d39b3bc95"},"references":{"count":49,"sample":[{"doi":"10.1103/df5w-3yfd","year":2025,"title":"Double sine-Gordon class of universal coarsening dynamics in a spin-1 Bose gas , author =. 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