Extreme First-Passage Time of Many Interacting Particles

arXiv:2607.22528 · cond-mat.stat-mech, cond-mat.mes-hall, cond-mat.soft, math-ph, math.MP, physics.bio-ph · Submitted 2026-07-24 · Read on arXiv

cond-mat.stat-mech, cond-mat.mes-hall, cond-mat.soft, math-ph, math.MP, physics.bio-ph

Submitted: 2026-07-24

Updated: 2026-10-20

Comments: 7+16 pages, submitted version. The case involving singular forces, including LJ and WCA interactions, has been resolved (a conjecture in v1 version). Additionally, a long-range repulsive example (Example C) has been added

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• No-Go Theorem — 1× in this paper · explained in 2 episodes
• Redundancy — 1× in this paper · explained in 2 episodes

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