The out-of-equilibrium structural relaxation of Ag-Ni
nanoparticles containing about 1000--3000 atoms was investigated
computationally by means of molecular dynamics trajectories in which
the temperature is decreased gradually over hundreds of
nanoseconds. At low silver concentration of 10--30\%, the evolution
of chemical ordering in Ni$_{\rm core}$Ag$_{\rm shell}$
nanoparticles with different surface arrangements is found to
proceed spontaneously and induce some rounding of the nickel core
and its partial recristallization. Fast cooling of an initially hot
metal vapor mixture was also considered, and it is shown to disfavor
silver aggregation at the surface. Silver impurities are also
occasionally produced but remain rare events under the conditions of
our simulations.