{"paper":{"title":"Deterministic motion of the controversial piston in the thermodynamic limit","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Annick Lesne, Christian Gruber, S\\'everine Pache","submitted_at":"2001-09-28T15:04:53Z","abstract_excerpt":"We consider the evolution of a system composed of $N$ non-interacting point particles of mass $m$ in a cylindrical container divided into two regions by a movable adiabatic wall (the adiabatic piston).\n We study the thermodynamic limit for the piston where the area $A$ of the cross-section, the mass $M$ of the piston, and the number\n $N$ of particles go to infinity keeping $A/M$ and $N/M$ fixed. The length of the container is a fixed parameter which can be either finite or infinite. In this thermodynamic limit we show that the motion of the piston is deterministic and the evolution is adiabati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0109542","kind":"arxiv","version":2},"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"}