Movie
of Soliton Evolution on the Surface of a Nano-Conductor
The high electron density on
the surface of a nano-conductor can lead to the phenomenon of
electromigration. Electromigration is the bulk movement of
conducting material due to the electrons and can lead to undesirable
effects such as short circuits. Mathematically electromigration
can in certain circumstances be described by the Benjamin-Ono
Zakharov-Kutznetsov equation, which has a soliton solution. Under
this approximation, the bulk conducting material moves as a soliton
along the surface of the nano-conductor.