{"paper":{"title":"Dynamics of Phase Boundary with Particle Annihilation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"A. D. Manita, V. A. Malyshev","submitted_at":"2012-04-14T10:56:21Z","abstract_excerpt":"Infinitely many particles of two types (\"plus\" and \"minus\") jump randomly along the one-dimensional lattice $\\mathbf{Z}_{\\varepsilon}=\\varepsilon\\mathbf{Z}$. Annihillations occur when two particles of different time occupy the same site. Assuming that at time $t=0$ all \"minus\" particles are placed on the left of the origin and all \"plus\" particles are on the right of it, we study evolution of $\\beta_\\varepsilon(t)$, the boundary between two types. We prove that in large density limit $\\epsilon\\to 0$ the boundary $\\beta_\\varepsilon(t)$ converges to a deterministic limit. This particle system ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3163","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}