The Frenkel-Kontorova Model The Frenkel-Kontorova model is a harmonic chain in a spatially periodic potential. The chain is driven by a constant force which is damped by a velocity-proportional damping.
 
The Frenkel-Kontorova-Tomlinson Model The Frenkel-Kontorova model is a harmonic chain connected to a rigid upper plate via leaf springs. The chain feels a spatially periodic potential. The upper plate is driven by a constant velocity. The chain is damped by a velocity-proportional damping forces.