-\subsection{Limitations of conventional MD and short order potentials}
-
-{\color{blue}
-Alternatively: Explain general problem of the slow propagation through phase space using conventional molecular dynamics and the accompanying difficulties for conformational search.
-Explain the methods available to overcome this limitation.
-Point out, that in this work, the sharp cut-off introduces unphysical and overestimated high forces between next neighboured atoms enhancing the problem of slow phase space propagation.
-}
-
-The formation of an amoprhous SiC-like phase although experiments show crystalline 3C-SiC precipitates at prevailing temperatures remains unexplained.
-The answer is found in the short range and sharp cut-off of the employed bond order potential.
-The cut-off funtion, which limits the interacting ions to the next neighboured atoms by gradually pushing the interaction force and energy to zero betwenn the first and second next neighbour distance, is responsible for overestimated and unphysical high forces of next neighboured atoms \cite{mattoni2007}.
-Indeed it is not only the strong C-C bond which is hard to break inhibiting carbon diffusion and further conformational changes.
-This is also true for the low concentration simulations dominated by C-Si dumbbells spread over the whole simulation volume.
+\subsection{Limitations of conventional MD and short range potentials}
+
+At first the formation of an amorphous SiC-like phase is unexpected since IBS experiments show crystalline 3C-SiC precipitates at prevailing temperatures.
+On closer inspection, however, reasons become clear, which are discussed in the following.
+
+The first reason is a general problem of MD simulations in conjunction with limitations in computer power, which results in a slow and restricted propagation in phase space.
+In molecular systems, characteristic motions take place over a wide range of time scales.
+Vibrations of the covalent bond take place on the order of $10^{-14}\,\text{s}$ of which the thermodynamic and kinetic properties are well described by MD simulations.
+To avoid dicretization errors the integration timestep needs to be chosen smaller than the fastest vibrational frequency in the system.
+On the other hand, infrequent processes, such as conformational changes, reorganization processes during film growth, defect diffusion and phase transitions are processes undergoing long-term evolution in the range of microseconds.
+This is due to the existence of several local minima in the free energy surface separated by large energy barriers compared to the kinetic energy of the particles, that is the system temperature.
+Thus, the average time of a transition from one potential basin to another corresponds to a great deal of vibrational periods, which in turn determine the integration timestep.
+Hence, time scales covering the neccessary amount of infrequent events to observe long-term evolution are not accessible by traditional MD simulations, which are limited to the order of nanoseconds.
+New methods have been developed to bypass the time scale problem like hyperdnyamics (HMD) \cite{voter97,voter97_2}, parallel replica dynamics \cite{voter98}, temperature acclerated dynamics (TAD) \cite{sorensen2000} and self-guided dynamics (SGMD) \cite{wu99} retaining proper thermodynmic sampling.
+
+In addition to the time scale limitation, problems attributed to the short range potential exist.
+The sharp cut-off funtion, which limits the interacting ions to the next neighboured atoms by gradually pushing the interaction force and energy to zero between the first and second next neighbour distance, is responsible for overestimated and unphysical high forces of next neighboured atoms \cite{tang95,mattoni2007}.
+Indeed it is not only the strong C-C bond which is hard to break inhibiting carbon diffusion and further rearrengements.
+This is also true for the low concentration simulations dominated by the occurrence of C-Si dumbbells spread over the whole simulation volume.