When an amorphous solid is etched by an off‐normal incidence ion beam, a ripple topography often results. A theory explaining the origin of these waves is presented. For incidence angles close to the… Expand

We study the effect of quantum fluctuations of the phase on the low-temperature behavior of two models of Josephson junction chains with Coulomb interactions taken into account. The first model,… Expand

The Bradley-Shipman theory explains the genesis of the highly ordered hexagonal arrays of nanodots that can result from normal-incidence ion bombardment of a binary material [R. M. Bradley and P. D.… Expand

A theory is developed that explains the genesis of the strikingly regular hexagonal arrays of nanoscale mounds that can form when a flat surface of a binary compound is subjected to normal-incidence ion bombardment and surface ripples are predicted to emerge for a certain range of the parameters.Expand

The derivation of the equation of motion is completely rigorous and is based on an asymptotic expansion in a small dimensionless parameter that characterizes the channel width and provides a rigorous proof of the validity of the latter equation.Expand

A model is introduced that includes an improved approximation to the sputter yield and that produces a terraced surface morphology at long times for a wide range of parameter values and reveals that the terraces coarsen as time passes, just as observed experimentally.Expand

It is demonstrated that under certain conditions, solitons can propagate on the surface of a current-carrying metal thin film under the limit of high applied currents.Expand

The mean sputter yield produced by the impact of a single ion depends on the radii of curvature of the target surface at the point of impact. Using the Sigmund model of ion sputtering, we develop… Expand

We perform Monte Carlo simulations of the pouring of hard ellipsoids into a three-dimensional container. Both oblate and prolate ellipsoids of revolution are examined. Oblate ellipsoids pack so that… Expand