Abstract

Few equilibrium—even less so nonequilibrium—statistical-mechanical models with continuous degrees of freedom can be solved exactly. Classical equilibrium hard spheres in infinitely many space dimensions are a notable exception. Even in the absence of a Boltzmann distribution, and in infinite dimensions, we can exactly compute the nonequilibrium steady state properties that govern and characterize the collective behavior of active hard spheres (the structure factor, the equation of state for the pressure). We determine the crowding density at which the effective self-propulsion of a particle vanishes. We finally compare this crowding density to other jamming scales previously identified in (equilibrium) hard-spheres.

[after a joint work with T. Arnoulx de Pirey & G. Lozano]