  Real structural glasses form through various out-of-equilibrium processes,
including temperature quenches, rapid compression, shear, and aging. Each of
these processes should be formally understandable within the recently
formulated dynamical mean-field theory of glasses, but many of the numerical
tools needed to solve the relevant equations for sufficiently long timescales
do not yet exist. Numerical simulations of structureless (and therefore
mean-field-like) model glass formers can nevertheless aid searching for and
understanding such solutions, thanks to their ability to disentangle structural
from dimensional effects. We here study the infinite-range Mari-Kurchan model
under simple non-equilibrium processes and compare the results with those from
the random Lorentz gas [J. Phys. A: Math. Theor. 55 334001, (2022)], which are
both mean-field-like and become formally equivalent in the limit of infinite
spatial dimensions. Of particular interest are jamming from crunching and under
instantaneous temperature quenches. The study allows for an algorithmic
understanding of the jamming density and of its approach to the
infinite-dimensional limit. The results provide important insight into the
eventual solution of the dynamical mean-field theory, including onsets and
anomalous relaxation, as well as into the various algorithmic schemes for
jamming.
