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What is Taylor-Series in Molecular Dynamics Simulations about?

In molecular dynamics simulations, the Taylor-series based algorithm is used to compute particle positions and velocities by expanding them in time, with the Velocity Verlet algorithm being a common implementation. This method offers advantages such as predictability, accuracy, and time reversibility, but has drawbacks including high computational costs and stability issues for complex systems. Additionally, a typical MD simulation involves defining the system, selecting interaction potentials, initializing

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