Slow-wave instability in a rectangularly corrugated cylindrical waveguide is analyzed. Fields inside corrugation is expressed by a sum of space harmonics satisfying the boundary conditions at the corrugation wall. The corrugation fields are matched to periodic fields outside the corrugation at the boundary of the two regions. Infinitesimally thin annular electron beam is considered including th...

Radial elastic corrugation of multiwalled carbon nanotubes under hydrostatic pressure is demonstrated by using the continuum elastic theory. Various corrugation patterns are observed under a pressure of several GPa, wherein the stable cross-sectional shape depends on the innermost tube diameter D and the total number N of concentric walls. A phase diagram is established to obtain the requisite ...

Two-dimensional Au islands of different thicknesses grown on graphene/Ru(0001) were used to study the corrugation of the moire ́ structure of graphene/Ru(0001) and discriminate between its mainly structural or electronic character. A comparison of the apparent corrugation measured by scanning tunneling microscopy (STM) for different Au thicknesses with results of elasticity theory equations appl...

Wear-type rail corrugation is a significant problem in the railway transport industry. Some recent work has suggested that speed control can be used as an effective tool to minimize the rate of corrugation growth. This has brought about the need to model corrugation growth under variable passing speed. Variable speed rail corrugation growth modelling normally consists of either numerical simula...

Graphene is a two-dimensional material which has attracted the attention of many scientists over the past few years. To use graphene for electronic applications it should be placed on a substrate. The surface of any substrate has always a degree of corrugation. Substrate surface corrugation affects the surface morphology which in turn modulates the electronic properties of devices placed on suc...

This paper deals with the scattering of a TM plane wave from a perfectly conductive sinusoidal surface with finite extent. For comparison, however, we briefly discuss the diffraction by the sinusoidal surface with infinite extent, where we use the concept of the total diffraction cross section per unit surface introduced previously. To solve a case where the sinusoidal corrugation width is much...

We study a two-dimensional model for interacting colloids which is consistent with cluster states, adding a periodic corrugation potential and an external force. For different colloidal densities and different amplitude of the periodic corrugation potential we investigate the depinning from the static to the sliding regime. In the sliding states we characterize the competition between a dynamic...

Spin-orbit interaction in flat graphene is rather weak due to the symmetry of the lattice. However, substrate surface-corrugation can break this symmetry and induce a relatively large spin-orbit interaction. In this work we study spin transport in armchair graphene nanoribbons (AGNR) in the presence of substrate surface-corrugation. We employ the non-equilibrium green’s function along with a mu...

We present a one dimensional model for the development of cor-rugations in roads subjected to compressive forces from a flux of cars. The cars are modeled as damped harmonic oscillators translating with constant horizontal velocity across the surface, and the road surface is subject to diffusive relaxation. We derive dimensionless coupled equations of motion for the positions of the cars and th...

Graphene monolayers supported on oxide substrates have been demonstrated with superior charge mobility and thermal transport for potential device applications. Morphological corrugation can strongly influence the transport properties of the supported graphene. In this paper, we theoretically analyze the morphological stability of a graphene monolayer on an oxide substrate, subject to van der Wa...