In two dimensions the Tomlinson mechanism becomes much more
complicated. The tip may take a totally different path then the
support. However, certain informations can be calculated
Here symmetry plays an important role. Anne Tanguy and Philippe Roux studied the behaviour of
hysteresis of two tips by meeting each other. They choose a rotationally symmetric potential which
represents a single tip on the below solig. In general, there is no instability for isotropic bonds
The only exeption are grid lines which cross the pivot. Because of symmetry the system behaves like
the Tomlinson Model with one dimension.