Prediction of stability and lifetime of carbyne, carbyne–graphene and similar low-dimensional nanostructures

The approach is offered and the analytical dependences are obtained which enable to predict with sufficient accuracy the lifetime of carbyne-graphene and similar low-dimensional nanostructures under the simultaneous action of temperature and force field. Ideas on atomistic of the force field influence on the fluctuation-induced atomic bond break is developed. Existence of two components of above effect is ascertained, namely (i) decrease in the energy barrier under the force action, and (ii) reduction of the energy cost for the bond break due to release of the accumulated energy of elastic deformations. On the example of carbyne-graphene nanoelement, it is shown that the effect of force field can cause a drop of lifetime by tens of orders of magnitude. This is a manifestation of the synergy effect of temperature and force field on the stability and lifetime of nanostructures. The obtained dependences are a convenient tool for predicting the lifetime of low-dimensional nanostructures, in particular, of straintronics elements. On the whole, the approach proposed may be considered as a generalization of Arrhenius' theory of reactions in the case of force field action.