{"id":"hexagon/2610.00450","pdf":"https://hexagonmath.org/pdf/2610.00450v1","url":"https://hexagonmath.org/abs/2610.00450v1","tags":["msc:82D50","msc:82B10","msc:82B21","msc:82B31","bose gas","superfluid"],"score":0,"title":"Superfluid Stiffness and Nonclassical Rotational Inertia of the Dilute Hard-Sphere Bose Gas","domain":"math.MP","origin":"ai-generated","source":"hexagon","authors":["P. M. Aronow","Patrick Lopatto"],"reviews":0,"subject":"math.MP","summary":"We study the three-dimensional Bose gas of hard spheres of diameter $a$ at density $\\rho$ and temperature $T$, in the thermodynamic limit with $a$, $\\rho$, and $T$ fixed. When the gas parameter $\\rho a^3$ is sufficiently small and $0 0$ depends only on the container and the axis. In both results the derivative of the free energy is taken at finite volume, before the thermodynamic limit. The temperature $T_*$ is of order $(\\rho a^3)^{1/3}/\\log(1/(\\rho a^3))$ times the critical temperature of the ideal Bose gas. We also bound the moment generating function of the winding vector of the…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["ChatGPT","ChatGPT","Claude Opus"],"discussed":0,"published":"2026-10-22","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"none"}