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Comparison of several algorithms of the electric force calculation in particle plasma models

机译:粒子等离子体模型电力计算若干算法的比较

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This work is devoted to plasma modelling using the technique of molecular dynamics. The crucial problem of most such models is the efficient calculation of electric force. This is usually solved by using the particle-in-cell (PIC) algorithm. However, PIC is an approximative algorithm as it underestimates the short-range interactions of charged particles. We propose a hybrid algorithm which adds these interactions to PIC. Then we include this algorithm in a set of algorithms which we test against each other in a two-dimensional collisionless magnetized plasma model. Besides our hybrid algorithm, this set includes two variants of pure PIC and the direct application of Coulomb's law. We compare particle forces, particle trajectories, total energy conservation and the speed of the algorithms. We find out that the hybrid algorithm can be a good replacement of direct Coulomb's law application (quite accurate and much faster). It is however probably unnecessary to use it in practical 2D models.
机译:使用分子动力学技术致力于等离子体建模的工作。大多数此类模型的关键问题是有效的电力计算。这通常通过使用粒子内(PIC)算法来解决。然而,PIC是一种近似算法,因为它低估了带电粒子的短距离相互作用。我们提出了一种混合算法,该算法将这些相互作用添加到PIC。然后,我们在一组算法中包括该算法,我们在二维碰撞磁化等离子体模型中彼此测试。除了我们的混合算法外,该组包括纯PIC的两个变体以及库仑定律的直接应用。我们比较粒子力,粒子轨迹,总节能和算法的速度。我们发现混合算法可以是良好的替代直接库仑的法律应用程序(相当准确,更快)。然而,可能不必在实用的2D模型中使用它。

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