Dynamics of carbon nanotube chains residing on flat substrates

The stationary states of an array of single-walled carbon nanotubes lying on a flat substrate formed by a surface of molecular crystal are studied. Numerical simulations has shown that when the interaction with the substrate is weak, it is energetically more favorable for nanotubes to form a multi-layer package, and when the interaction is strong (when the interaction with the crystal surface $h$-BN), it is more favorable for nanotubes to form a single layer package (i.e. the chain on the surface of the substrate). The dynamics of the nanotube chain has been imulated. It is shown that supersonic acoustic solitons can exist only in chains of nanotubes of small diameter $D<$ 0.8 nm, and the motion of the soliton is always accompanied by a loss of energy needed to excite internal vibrations of the nanotubes. Low-amplitude fluctuations have been analyzed. It is shown that in the finite chain of nanotubes lying on a flat substrate the localization of vibrations is possible only on the end nanotubes or on the nanotube forming a structural defect in the chain.