论文标题

高孔上的分子动力学的符号积分器

A symplectic integrator for molecular dynamics on a hypersphere

论文作者

Caillol, J. -M.

论文摘要

我们提出了一种称为Roll的可逆且符合性的算法,用于将运动方程组合在Hypersphere $ \ Mathcal $ \ Mathcal {s}^d $的分子动力学模拟中。它衍生在几何代数的框架中,在数学上与算法拨浪面相等。简要讨论了一种分子动力学模拟的分子动力学模拟。

We present a reversible and symplectic algorithm called ROLL, for integrating the equations of motion in molecular dynamics simulations of simple fluids on a hypersphere $\mathcal{S}^d$ of arbitrary dimension $d$. It is derived in the framework of geometric algebra and shown to be mathematically equivalent to algorithm RATTLE. An application to molecular dynamics simulation of the one component plasma is briefly discussed.

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