Breaking
Aggro from enemies can be broken through several ways:
Contents
Death
Dieing will immedaitely reset aggro from all enemies.
Distance
By creating more than 1800 in-game units of distance from all foes in a group, aggro will be broken.
Shadowsteps
Shadowsteps can instantly create large distances from the mobs; do note though that when you shadowstep, foes may initially run towards your position regardless of how far you have gone (more than 5000 units stops this behaviour); it is not completely understood why this happens from the server side. Primarily it happens for ranged attackers and casters. This can be countered by running the opposite direction to them once you have finished the shadowstep, effectively following the Pathing rule below.
Pathing
By positioning yourself such that mobs have to reach 1800 in-game units of distance from yourself in order to reach you, they will break. An example is the image below: mobs would have to walk around the large gap in terrain to reach the player, and in doing so they end up breaking mid-way.
Note
Behaviour is different when multiple persons have aggro, known as "shared aggro". 1800 units has been measured as the distance applicable to mobs in all areas of DoA as well as other general PvE areas - however there may be exceptions, do add them here.