{"paper":{"title":"Dean-Kawasaki fluctuating hydrodynamics for backscattering hard rods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Backscattering hard rods switch from ballistic to diffusive spreading in their two-time density correlations after the velocity flip timescale.","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Mrinal Jyoti Powdel","submitted_at":"2026-04-23T11:25:48Z","abstract_excerpt":"We study a system of backscattering hard rods in one dimension. Contrary to the usual ballistic hard rods, these hard rods flip the sign of their velocities with a rate $\\gamma$. This leads to the decay of the odd moments of velocity while preserving the even moments: the number of conserved quantities in the system becomes half. The introduction of the flipping rate $\\gamma$ is an integrability-breaking perturbation, and this leads to a change in the transport properties in the system. We show using a Dean-Kawasaki fluctuating hydrodynamic formulation that the unequal space-time correlation o"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show using a Dean-Kawasaki fluctuating hydrodynamic formulation that for t ≫ 1/γ, the two-time density density correlation spreads in a diffusive manner, and for t ≪ 1/γ, the correlation spreads ballistically.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The Dean-Kawasaki fluctuating hydrodynamics remains a valid description of the density fluctuations even after the integrability-breaking velocity-flipping perturbation is introduced.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Backscattering hard rods show a crossover in two-time density-density correlations from ballistic spreading at t much less than 1/gamma to diffusive spreading at t much greater than 1/gamma.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Backscattering hard rods switch from ballistic to diffusive spreading in their two-time density correlations after the velocity flip timescale.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"4a0da1e4d535b640920345e70816aaaf73312a5d2d9b80986531a0e7eb2c30ae"},"source":{"id":"2604.21553","kind":"arxiv","version":2},"verdict":{"id":"8fdee273-c77b-496a-8bb3-e5008af9e58b","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T13:36:58.368821Z","strongest_claim":"We show using a Dean-Kawasaki fluctuating hydrodynamic formulation that for t ≫ 1/γ, the two-time density density correlation spreads in a diffusive manner, and for t ≪ 1/γ, the correlation spreads ballistically.","one_line_summary":"Backscattering hard rods show a crossover in two-time density-density correlations from ballistic spreading at t much less than 1/gamma to diffusive spreading at t much greater than 1/gamma.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The Dean-Kawasaki fluctuating hydrodynamics remains a valid description of the density fluctuations even after the integrability-breaking velocity-flipping perturbation is introduced.","pith_extraction_headline":"Backscattering hard rods switch from ballistic to diffusive spreading in their two-time density correlations after the velocity flip timescale."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.21553/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T12:39:21.462956Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-20T00:54:58.701983Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"9ebdd5b50ecdf95b54f9fb8e4d03fab9f77dd9ea8a2f4c621942524ed9ccd44f"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}