20 citations
4 papers
Graphene thermal break-down induced by anharmonic bending mode
V. M. Adamyan, V. N. Bondarev, V. V. Zavalniuk
The abrupt loss of mechanical stability of two-dimensional graphene-type crystals at a certain transition temperature is described. At this temperature, the graphene state with pra…
Mass-jump and mass-bump boundary conditions for singular self-adjoint extensions of the Schrödinger operator in one dimension
Vladimir Kulinskii, Dmitry Panchenko
Physical realizations of non-standard singular self-adjoint extensions for one-dimensional Schrödinger operator in terms of the mass-jump are considered. It is shown that correspon…
Bending mode and thermal expansion of graphene
Viktor N. Bondarev, Vadym Adamyan, Volodymyr V. Zavalniuk
Proceeding from the model of a two-dimensional elastic continuum, we describe the characteristic features of thermal expansion of graphene using an approach that goes beyond the qu…
Bending sound in graphene: origin and manifestation
V. M. Adamyan, V. N. Bondarev, V. V. Zavalniuk
It is proved that the acoustic-type dispersion of bending mode in graphene is generated by the fluctuation interaction between in-plane and out-of-plane terms in the free energy ar…