Long time derivation of the Boltzmann equation from hard sphere dynamics · HackerPapers discussionshttps://hackerpaper.kaipfister.de/p/2408.07818/Collected HN comments and submissions linking this paper.enMon, 02 Nov 2026 11:16:22 GMTLong time derivation of the Boltzmann equation from hard sphere dynamics — mentioned by whatshisfacehttps://news.ycombinator.com/item?id=44439553urn:hackerpapers:mention:2408.07818:44439553Wed, 02 Jul 2025 01:43:18 GMT<p>This is the larger part of the work: https://arxiv.org/abs/2408.07818</p><p><a href="https://hackerpaper.kaipfister.de/p/2408.07818/">Paper and discussion history</a>. A mention is not an endorsement.</p>math.APLong time derivation of the Boltzmann equation from hard sphere dynamics — mentioned by TimorousBestiehttps://news.ycombinator.com/item?id=43758863urn:hackerpapers:mention:2408.07818:43758863Tue, 22 Apr 2025 03:30:36 GMT<p>https://arxiv.org/abs/2503.01800 This is the preprint in question. I haven’t reviewed it rigorously, but I’m a mathematician in a vaguely related domain and the proof outline seems plausible to me. Prior work in https://arxiv.org/pdf/2408.07818 claims to prove that Boltzmann’s laws are the limit of a certain species of “hard sphere dynamics” as the number of particles gets large and the radius shrinks. This in the setting of unbounded Euclidean space. This is known classically for short time, which is why the 2024 paper purports to cover long time evolution. The new preprint proves this…</p><p><a href="https://hackerpaper.kaipfister.de/p/2408.07818/">Paper and discussion history</a>. A mention is not an endorsement.</p>math.AP