Another difference between the direct NVE and the NVT-NVE schemes is that peaks are generally broader in the NVT-NVE scheme. It is understandable that with the NVT-NVE scheme, there is a total energy distribution with more fluctuation, whereas the total energy is fixed in the direct NVE scheme. However, this does not mean that energy will not flow with the direct NVE scheme. Instead, through mode coupling effects, energy can exchange among different modes and also broaden their peaks. Therefore, both schemes are able to capture the mode coupling effects through finite temperature or energy, and it is simply the fact that the fluctuation is larger in the NVT-NVE scheme that makes the peaks broader.