Second Phase of Nanomanipulation of Particles by Atomic Force Microscopy Using Coulomb, HK, and LuGre Friction Models

Nanotechnology deals with objects and materials in nanometer scale and it is being expanded in the field of materials tools and systems. Nowadays, human knowledge in nanotechnology is going through a commercializing path in order to provide more services. Living creatures are built of cells with 10 μm size.  Some nanoparticles application in biology and medicine include drug and gene delivery, tissue engineering, and tumor destruction with heat. These procedures, which are done with nanoparticles manipulation, have two specific phase in general; in phase one, the amount of critical force and time are calculated based on dimensional and peripheral parameters. Now, it is tried to calculate nanoparticles displacement and velocity during the process in the phase two of nanoparticles manipulation. Also, in this paper, nanoparticles displacement and velocity were investigated in two dimensional space, using three main friction model namely coulomb, Hk, and lugre in phase two of nanoparticles manipulation. According to the results of this project, maximum speed and displacement was obtained, using lugre friction model and the minimum amounts in coulomb model. Also, with particles radius increase, displacement and velocity were reduced; this effect is engendered even without considering friction factor. Correspondingly, considering accuracy and validity, the coulomb model was the least accurate model and lugre was the most accurate one and the HK model was placed between these two models.