Nonlinear Interactions in Nanolattices Described by the Classical Morse, Biswas – Hamann and Modified Lennard – Jones Potentials

The oscillatory motion in nonlinear nanolattices having different interatomic potential energy functions is investigated. Potential energies such as the classical Morse, Biswas – Hamann and modified Lennard Jones potentials are considered interaction between atoms one-dimensional nanolattices. Noteworthy phenomena obtained with a chain, for each of considered. generalized governing system equations formulated using well-known Euler Lagrange equation Rayleigh’s modification. Linearized damping terms introduced into chain. nanochain has statistical attachments $40$ atoms, which perturbed to analyze resulting nonlinearities range initial points value problem (presented second-order ordinary differential equations) largely varies, depending on potential. broken at some point(s), one atom falling off slender chain or more than off. characterized by an amplitude vibration growing infinity. In general, it observed that effects cause amplitudes vibration, accompanied disruptions nanolattice translation chaotic regular (after introduction linear damping). This study provides computationally efficient approach understanding atomic interactions long nanostructural components from theoretical perspective.