{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,21]],"date-time":"2025-12-21T10:23:45Z","timestamp":1766312625640,"version":"build-2065373602"},"reference-count":17,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2017,7,25]],"date-time":"2017-07-25T00:00:00Z","timestamp":1500940800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In a recent paper (Chliamovitch, et al., 2015), we suggested using the principle of maximum entropy to generalize Boltzmann\u2019s Stosszahlansatz to higher-order distribution functions. This conceptual shift of focus allowed us to derive an analog of the Boltzmann equation for the two-particle distribution function. While we only briefly mentioned there the possibility of a hydrodynamical treatment, we complete here a crucial step towards this program. We discuss bilocal collisional invariants, from which we deduce the two-particle stationary distribution. This allows for the existence of equilibrium states in which the momenta of particles are correlated, as well as for the existence of a fourth conserved quantity besides mass, momentum and kinetic energy.<\/jats:p>","DOI":"10.3390\/e19080381","type":"journal-article","created":{"date-parts":[[2017,7,25]],"date-time":"2017-07-25T10:04:36Z","timestamp":1500977076000},"page":"381","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Kinetic Theory beyond the Stosszahlansatz"],"prefix":"10.3390","volume":"19","author":[{"given":"Gregor","family":"Chliamovitch","sequence":"first","affiliation":[{"name":"Department of Computer Science, University of Geneva, Route de Drize 7, 1227 Geneva, Switzerland"},{"name":"Department of Theoretical Physics, University of Geneva, Quai Ernest-Ansermet 24, 1211 Geneva, Switzerland"}]},{"given":"Orestis","family":"Malaspinas","sequence":"additional","affiliation":[{"name":"Department of Computer Science, University of Geneva, Route de Drize 7, 1227 Geneva, Switzerland"}]},{"given":"Bastien","family":"Chopard","sequence":"additional","affiliation":[{"name":"Department of Computer Science, University of Geneva, Route de Drize 7, 1227 Geneva, Switzerland"}]}],"member":"1968","published-online":{"date-parts":[[2017,7,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Uffink, J. 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Probability Theory: The Logic of Science, Cambridge University Press.","DOI":"10.1017\/CBO9780511790423"}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/19\/8\/381\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:43:51Z","timestamp":1760208231000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/19\/8\/381"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,7,25]]},"references-count":17,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2017,8]]}},"alternative-id":["e19080381"],"URL":"https:\/\/doi.org\/10.3390\/e19080381","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2017,7,25]]}}}