The last two decades of progress in the theory of crystal surfaces in and out of equilibrium is
reviewed. Various instabilities that occur during growth and sublimation, or that are caused …

Step bunching, in-phase step wandering and faceting are new morphological evolutions
from smooth vicinal surfaces. They are formed by giving changes of externally controlled …

We theoretically study step wandering and step bunching induced by the drift of adatoms
with attention to the permeability of steps. The critical drift velocity to induce the instability is …

The major framework of crystal growth concepts and technologies was built during the 20th
century. This solid framework, however, does not have enough predictive power. The lack of …

Bunching and meandering instability of steps at the 4H-SiC (0001) surface is studied by the
kinetic Monte Carlo simulation method. Change in the character of step instability is …

We study power-law growth of step bunches produced by the drift of adatoms. When
evaporation of the adatoms is neglected (conserved system), the terrace width between the …

The emergence of pattern formation and chaotic dynamics is studied in the one-dimensional
(1D) generalized Kuramoto–Sivashinsky (gKS) equation by means of a time-series analysis …

Heating by a direct electric current can produce step bunches on vicinal semiconductor
surfaces. Under extreme conditions, steps crossing from one bunch to another bend …

We study the dynamical state of the one-dimensional noisy generalized Kuramoto-
Sivashinsky (gKS) equation by making use of time-series techniques based on symbolic …

We devise a new 1D atomistic scale model of vicinal growth based on Cellular Automaton.
In it the step motion is realized by executing the automaton rule prescribing how adatoms …