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Abstract: Based on the continuum approximation together with Lennard-Jones potential, a new semi-analytical method is developed to investigate the van der Waals interaction between two parallel carbon nanotori. Considering that atomistic approaches, such as classical molecular dynamics and density functional theory, are often computationally expensive, the present continuum method can be alternatively used for theoretical modeling of interaction force and energy between nanostructures. Following the present method, a semi-analytical expression is given in terms of double integrals which can be used to obtain the potential energy and interaction force. Investigating the effects of geometrical parameters on the potential energy and interaction force distributions reveals the oscillatory behavior of two parallel carbon nanotori and the plausibility of using them as the ideal traps for atoms and particles. [Copyright &y& Elsevier]

Abstract: Based on the continuum approximation together with Lennard–Jones potential, a new semi-analytical method is developed to determine the van der Waals interaction between two single-walled carbon nanotubes. Neglecting the frictional effects, acceptance condition and suction energy for an inner tube entering semi-infinite outer ones are obtained and nature of interaction force is investigated. The maximum suction energy configurations are found by netting analysis. Using this procedure, the optimum configurations are obtained to minimize the potential energy. Also, a universal potential curve is presented for an inner tube entering various semi-infinite outer ones. Finally, on the basis of the direct method, suction energy and acceptance condition are obtained for multi-walled carbon nanotubes. [ABSTRACT FROM AUTHOR]