  We introduce a one-dimensional toy model of globular clusters. The model is a
version of the well-known gravitational sheets system, where we take
additionally into account mass and energy loss by evaporation of stars at the
boundaries. Numerical integration by the "exact" event-driven dynamics is
performed, for initial uniform density and Gaussian random velocities. Two
distinct quasi-stationary asymptotic regimes are attained, depending on the
initial energy of the system. We guess the forms of the density and velocity
profiles which fit numerical data extremely well and allow to perform an
independent calculation of the self-consistent gravitational potential. Some
power-laws for the asymptotic number of stars and for the collision times are
suggested.
