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Simplified and improved string method for computing the minimum energy paths in barrier-crossing events

机译:简化和改进的字符串方法,用于计算跨界事件中的最小能量路径

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We present a simplified and improved version of the string method, originally proposed by E [Phys. Rev. B 66, 052301 (2002)] for identifying the minimum energy paths in barrier-crossing events. In this new version, the step of projecting the potential force to the direction normal to the string is eliminated and the full potential force is used in the evolution of the string. This not only simplifies the numerical procedure, but also makes the method more stable and accurate. We discuss the algorithmic details of the improved string method, analyze its stability, accuracy and efficiency, and illustrate it via numerical examples. We also show how the string method can be combined with the climbing image technique for the accurate calculation of saddle points and we present another algorithm for the accurate calculation of the unstable directions at the saddle points. (c) 2007 American Institute of Physics.
机译:我们提出了一种简化和改进的字符串方法,最初由E [Phys。 B 66,052301(2002)版),用于确定穿越障碍事件的最小能量路径。在此新版本中,省去了将势力投射到垂直于弦线的方向的步骤,并且在弦线的演变过程中使用了全部势力。这不仅简化了数值程序,而且使该方法更加稳定和准确。我们讨论改进的字符串方法的算法细节,分析其稳定性,准确性和效率,并通过数值示例进行说明。我们还展示了如何将字符串方法与攀登图像技术相结合来精确计算鞍点,并且我们提出了另一种算法来精确计算鞍点处不稳定方向。 (c)2007年美国物理研究所。

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