{"paper":{"title":"Lorentz's model with dissipative collisions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"J. Piasecki, Ph. A. Martin","submitted_at":"1998-10-07T09:26:20Z","abstract_excerpt":"Propagation of a particle accelerated by an external field through a scattering medium is studied within the generalized Lorentz model allowing inelastic collisions. Energy losses at collisions are proportional to $(1-\\alpha^{2})$, where $0\\le\\alpha\\le 1$ is the restitution coefficient. For $\\alpha =1$ (elastic collisions) there is no stationary state. It is proved in one dimension that when $\\alpha <1$ the stationary state exists . The corresponding velocity distribution changes from a highly asymmetric half-gaussian ($\\alpha =0$) to an asymptotically symmetric distribution $\\sim {\\rm exp}[-("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9810070","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"}