{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"928994687cdbd73327a37e3d4e9e0b88c9c7a0a9ed6cdd1e76e42f0d4a0afeb7","created":"2026-10-03T07:18:11Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["15d65b26b9a4b58e94cca9aece031545cecda034f0a73738ac842044ee20d787","5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"8598f457ccfa7278d5e9aa0b976d9d24dba54893927c04806fedae0b7977a25c","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"stat.nonequilibrium-steady-states.zeroth-law-contact","kind":"well-posed","literature_status":"contested","n":"1","parents":[{"note":"","parent_revision":"15d65b26b9a4b58e94cca9aece031545cecda034f0a73738ac842044ee20d787","relation":"special_case"}],"plain":"Two systems in equilibrium that exchange particles stop exchanging on average when their chemical potentials are equal. The question is whether driven systems have a similar quantity that equalizes on contact, independent of how they touch.","posed_since":"2006","precise":"For two driven lattice gases (e.g., driven exclusion processes or the Katz-Lebowitz-Spohn model) exchanging particles through a weak contact, determine whether an intensive variable defined from each isolated steady state, such as the chemical potential of Sasa-Tasaki steady-state thermodynamics, predicts the joint stationary densities to leading order in the contact rate, independent of the contact dynamics. Answer: yes with the construction, or a class of counterexamples.","problem_ref":null,"references":"","settled_by":"An exact solution or proof for a pair of driven lattice gases showing whether the joint state is fixed by single-system intensive variables.","status_note":"Simulations of driven lattice gases show contact-dependent violations for some definitions, while consistency holds in specific weak-contact limits.","title":"Zeroth law for two driven systems in weak contact","topic_ref":"72aaad1f1435578edfef33967b7b92010d17bf95ece739d074630e4e3fd7a09f"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"5653bc57a99ccfc77b9bb532304e6b009f7fc34ee24e56f75372b6b9e18d513d","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"42f4e1b614ca83485a5171f2a71e3af0f79e3ace9011a6f7732ec2519f76d6f5","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"jPwbBOCYAgsdhpT2NK-3qfPHwrCEZlGOrNhcjmaQt44F1cREcuyk8NtgNgs6k-pZ47JKdA3JhosV6ZOgWC2OAg"},"schema":"pubphys.envelope/1"},"record_hash":"5653bc57a99ccfc77b9bb532304e6b009f7fc34ee24e56f75372b6b9e18d513d","leaf_index":2109}