{"paper":{"title":"Active Model B$^-$ from Mass-Conserving Reaction-Diffusion Systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"The late-time dynamics of a minimal three-component mass-conserving reaction-diffusion system reduce to Active Model B^- with negative high-density interfacial coefficient.","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Beatrice Nettuno, Davide Toffenetti, Erwin Frey, Henrik Weyer","submitted_at":"2026-05-15T12:42:19Z","abstract_excerpt":"We show that the late-time dynamics of a minimal three-component mass-conserving reaction--diffusion system reduce to a scalar active field theory, Active Model B$^-$ (AMB$^-$), in which a density-dependent interfacial coefficient $\\kappa(\\phi)$ turns negative at high density. This drives a finite-wavelength instability and stabilises microphase-separated patterns, in contrast to the unbounded coarsening of two-component mass-conserving systems. Unlike Active Model B$^+$, AMB$^-$ retains a chemical potential that remains a state function, inherited from the underlying conservation law, but adm"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show that the late-time dynamics of a minimal three-component mass-conserving reaction-diffusion system reduce to a scalar active field theory, Active Model B^-(AMB^-), in which a density-dependent interfacial coefficient κ(φ) turns negative at high density. This drives a finite-wavelength instability and stabilises microphase-separated patterns.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The reduction to a single scalar field with the specific AMB^- form (including the sign change in κ(φ)) holds exactly or asymptotically at late times for the chosen minimal reaction network; any additional fast modes or non-minimal reactions would invalidate the mapping.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Late-time dynamics of a three-component mass-conserving reaction-diffusion system map onto Active Model B^- with density-dependent negative interfacial tension that selects microphase separation.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The late-time dynamics of a minimal three-component mass-conserving reaction-diffusion system reduce to Active Model B^- with negative high-density interfacial coefficient.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"4139d0e999d43b4de05620e61c3618a63b3d5b926171e9b61565007d9755d176"},"source":{"id":"2605.15903","kind":"arxiv","version":1},"verdict":{"id":"fa513744-e34a-4edc-9882-322ce1420754","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T18:58:35.359533Z","strongest_claim":"We show that the late-time dynamics of a minimal three-component mass-conserving reaction-diffusion system reduce to a scalar active field theory, Active Model B^-(AMB^-), in which a density-dependent interfacial coefficient κ(φ) turns negative at high density. 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