Modelling and Investigation of Diffusion-driven Self-assembly Process of Rod-like Particles

Abstract The objects of the study are discrete substrates with elongated objects placed on them, which are considered in theoretical investigates of the systems with rigid rods for modelling processes in such systems. The subject of the study is self-assembly of rod-like particles in square lattice as a result of modelling particles’ diffusion. This study investigates the number of diffusion steps that are needed to be taken to reach self-assembly state. The main attention is paid to lattices of size L = 256 and particle length k = 8 or k = 12. The resulting program developed for reaching the goal of the current paper may be applied in similar studies that are related to modelling of square lattices with rod-like particles placed on them. The paper contains 51 pages, 12 illustrations, 2 tables and 17 formulas. 9 sources are used. Keywords: self-assembly, rod-like particles, Monte Carlo method, lattice model.