{"paper":{"title":"A generalized detailed balance relation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.chem-ph"],"primary_cat":"physics.bio-ph","authors_text":"David Ruelle","submitted_at":"2015-10-28T15:54:23Z","abstract_excerpt":"Given a system $M$ in a thermal bath we obtain a generalized detailed balance relation for the ratio $r=\\pi_\\tau(K\\to J)/\\pi_\\tau(J\\to K)$ of the transition probabilities $M:J\\to K$ and $M:K\\to J$ in time $\\tau$. We assume an active bath, containing solute molecules in metastable states. These molecules may react with $M$ and the transition $J\\to K$ occurs through different channels $\\alpha$ involving different reactions with the bath. We find that $r=\\sum p^\\alpha r^\\alpha$, where $p^\\alpha$ is the probability that channel $\\alpha$ occurs, and $r^\\alpha$ depends on the amount of heat (more pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08357","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"}