{"slug":"paper-boltzmann-l-1872-weitere-studien-ber-das-w-rmegleichgewicht-unter-gasmolek-len","verification":{"valid":true,"entries":2,"head":"cf7e78551aadd297b29bc5dd43b41a50febf560e0ec23583a81dab68a5156cb2"},"count":2,"sources":[{"id":"s1","type":"other","url":"https://gilles.montambaux.com/files/histoire-physique/Boltzmann-1872-anglais.pdf","title":"Further Studies on the Thermal Equilibrium of Gas Molecules (English translation)","quote":"With the aid of the partial differential equation for f, we are able to go further and prove that if the distribution of states is not Maxwellian, it will tend toward the Maxwellian distribution as time goes on. This proof consists in showing that a quantity defined in terms of f, E = ∫ f(log f − 1) dx, can never increase but must always decrease or remain constant.","summary":"Primary 1872 paper translation containing the H-theorem derivation.","claim_ids":["c1","c2"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-07T21:44:54.324Z","link_status":"ok","quote_status":"unverified","prev":"genesis","hash":"43e5835b8ded373eea28a2d379624bc984ecc373d93159bfb88843cf9b5385ee"},{"id":"s2","type":"other","url":"https://plato.stanford.edu/archives/fall2006/entries/statphys-Boltzmann/","title":"Boltzmann's Work in Statistical Physics","quote":"The 1872 paper contained the Boltzmann equation and the H-theorem.","summary":"Stanford Encyclopedia entry confirming the paper's content and assumptions.","claim_ids":["c3"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-07T21:44:54.324Z","link_status":"ok","quote_status":"unverified","prev":"43e5835b8ded373eea28a2d379624bc984ecc373d93159bfb88843cf9b5385ee","hash":"cf7e78551aadd297b29bc5dd43b41a50febf560e0ec23583a81dab68a5156cb2"}]}