Basin Hopping with Occasional Jumping

Details Basin Hopping with Occasional Jumping Basin Hopping with Occasional Jumping

2004-10-28

arxiv.org/abs/cond-mat/0410723v1

Chemical Physics Letters vol. 399 (2004) pp. 396-400

Physics

Condensed Matter

Materials Science

Scientific paper

10.1016/j.cplett.2004.10.032

Basin-Hopping (BH) or Monte-Carlo Minimization (MCM) is so far the most reliable algorithms in chemical physics to search for the lowest-energy structure of atomic clusters and macromolecular systems. BH transforms the complex energy landscape into a collection of basins, and explores them by hopping, which is achieved by random Monte Carlo moves and acceptance/rejection using the Metropolis criterion. In this report, we introduce the jumping process in addition to the hopping process in BH. Jumping are invoked when the hopping stagnates by reaching the local optima, and are achieved using the Monte Carlo move at the temperature $T=\infty$ without rejection. Our Basin-Hopping with Occasional Jumping (BHOJ) algorithm is applied to the Lennard-Jones clusters of several notoriously difficult sizes. It was found that the probability of locating the true global optima using BHOJ is significantly higher than the original BH.

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