Collective transport of Lennard–Jones particles through one-dimensional periodic potentials
He Jian-hui, Wen Jia-le, Chen Pei-rong, Zheng Dong-qin, Zhong Wei-rong
       

(color online) These two figures imply that neither the (a) length of transport channels nor the (b) period of force fields can affect the transport. For this part, the potential field need to be amended, because of the invariance of the potential depth or height through changing variables.