  In old, dense stellar systems collisions of white dwarfs are a rather
frequent phenomenon. Here we present the results of a comprehensive set of
Smoothed Particle Hydrodynamics simulations of close encounters of white dwarfs
aimed to explore the outcome of the interaction and the nature of the final
remnants for different initial conditions. Depending on the initial conditions
and the white dwarf masses, three different outcomes are possible.
Specifically, the outcome of the interaction can be either a direct or a
lateral collision or the interaction can result in the formation of an
eccentric binary system. In those cases in which a collision occurs, the
infalling material is compressed and heated such that the physical conditions
for a detonation may be reached during the most violent phases of the merger.
While we find that detonations occur in a significant number of our
simulations, in some of them the temperature increase in the shocked region
rapidly lifts degeneracy, leading to the quenching of the burning. We thus
characterize under which circumstances a detonation is likely to occur as a
result of the impact of the disrupted star on the surface of the more massive
white dwarf. Finally, we also study which interactions result in bound systems,
and in which ones the more massive white dwarf is also disrupted as a
consequence of the dynamical interaction. The sizable number of simulations
performed in this work allows to find how the outcome of the interaction
depends on the distance at closest approach, and on the masses of the colliding
white dwarfs, and which is the chemical pattern of the nuclearly processed
material. Finally, we also discuss the influence of the masses and core
chemical compositions of the interacting white dwarfs and the different kinds
of impact in the properties of the remnants.
