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In molecular simulations, the frequencies of the low-frequency modes are many orders of magnitude lower than those of the high-frequency modes.Compared with the amplitudes of the low-frequency modes, the amplitudes of the high-frequency modes are often negligible and, thus, least interesting.As dictated by the period of the highest frequency mode, the critical time step for stable time integration can be significantly increased by suppressing the negligible high-frequency modes yet the solution remains virtually intact.In this light, a smoothed molecular dynamics (SMD) approach is proposed to eliminate the high-frequency modes from the dynamical system through the use of a regular background grid, as shown in Figure 1.By manipulating the grid size, it is possible to increase the critical time step significantly with respect to that of the conventional molecular dynamics (MD).The implementation of SMD is very similar to the conventional MD.