A neutron star harbors 𝒪(1056) electrons in its core, and almost the same
number of muons, with muon decay prohibited by Pauli blocking. However, as macroscopic properties
of the star such as its mass, rotational velocity, or magnetic field evolve over time, the
equilibrium lepton abundances (dictated by the weak interactions) change as well. Scenarios where
this can happen include spin-down, accretion, magnetic field decay, and tidal deformation. We
discuss the mechanisms by which a star disrupted in one of these ways re-establishes lepton
chemical equilibrium. In most cases, the dominant processes are out-of-equilibrium Urca reactions,
the rates of which we compute for the first time. If, however, the equilibrium muon abundance
decreases, while the equilibrium electron abundance increases (or decreases less than the
equilibrium muon abundance), outward diffusion of muons plays a crucial role as well. This is true
in particular for stars older than about 104 yrs whose core
has cooled to ≲ 20 keV. The muons decay in a region where
Pauli blocking is lifted, and we argue that these decays lead to a flux of
𝒪(10 MeV) neutrinos. Realistically, however, this flux
will remain undetectable for the foreseeable
future.