Jiménez Oliva, Jesús DavidRodriguez-Lopez, PabloKhalil, Nagi2024-01-232024-01-232024-01-22Phys. Fluids 36, 013326 (2024); doi: 10.1063/5.01894921089-7666https://hdl.handle.net/10115/28739The fluctuating hydrodynamics by Brey et. al. is analytically solved to get the long-time limit of the fluctuations of the number density, velocity field, and energy density around the homogeneous cooling state of a granular gas, under physical conditions where it keeps stable. Explicit expressions are given for the non-white contributions in the elastic limit. For small dissipation, the latter is shown to be much smaller than the inelastic contributions, in general. The fluctuation-induced Casimir-like forces on the walls of the system are calculated assuming a fluctuating pressure tensor resulting from perturbing its Navier-Stokes expression. This way, the Casimir-like forces emerges as the correlation between the longitudinal velocity and the energy density. Interestingly, the fluctuation-induced forces push/pull the system towards the square or rectangular geometry when they vanish, in good agreement with the event-driven numerical simulations.Atribución-NoComercial-CompartirIgual 4.0 InternacionalStatistical Mechanicsinfo:eu-repo/semantics/article10.1063/5.0189492info:eu-repo/semantics/embargoedAccess