Bandow Bernhard, Hartke Bernd
Institut für Physikalische Chemie, Christian-Albrechts-Universität, Kiel, Germany.
J Phys Chem A. 2006 May 4;110(17):5809-22. doi: 10.1021/jp060512l.
For the difficult task of finding global minimum energy structures for molecular clusters of nontrivial size, we present a highly efficient parallel implementation of an evolutionary algorithm. By completely abandoning the traditional concept of generations and by replacing it with a less rigid pool concept, we have managed to eliminate serial bottlenecks completely and can operate the algorithm efficiently on an arbitrary number of parallel processes. Nevertheless, our new algorithm still realizes all of the main features of our old, successful implementation. First tests of the new algorithm are shown for the highly demanding problem of water clusters modeled by a potential with flexible, polarizable monomers (TTM2-F). For this problem, our new algorithm not only reproduces all of the global minima proposed previously in considerably less CPU time but also leads to improved proposals in several cases. These, in turn, qualitatively change our earlier predictions concerning the transitions from all-surface structures to cages with a single interior molecule, and from one to two interior molecules. Furthermore, we compare preliminary results up to n = 105 with locally optimized cuts from several ice modifications. This comparison indicates that relaxed ice structures may start to be competitive already at cluster sizes above n = 90.
对于为非平凡大小的分子簇寻找全局最小能量结构这一艰巨任务,我们提出了一种进化算法的高效并行实现。通过完全摒弃传统的世代概念,并用一个限制较少的池概念取而代之,我们成功地彻底消除了串行瓶颈,并且能够在任意数量的并行进程上高效运行该算法。尽管如此,我们的新算法仍然实现了旧的、成功实现版本的所有主要特性。针对由具有柔性、可极化单体的势(TTM2 - F)建模的水簇这一高要求问题,展示了新算法的首次测试。对于这个问题,我们的新算法不仅能在显著更少的CPU时间内重现先前提出的所有全局最小值,而且在几种情况下还能得出改进的结果。这些结果进而定性地改变了我们先前关于从全表面结构到具有单个内部分子的笼状结构以及从一个内部分子到两个内部分子转变的预测。此外,我们将n = 105之前的初步结果与几种冰变体的局部优化切割结果进行了比较。这种比较表明,在簇大小高于n = 90时,松弛的冰结构可能已经开始具有竞争力。