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Phys.<\/jats:italic>, <jats:bold>66<\/jats:bold>, 1 (1986)] and yields an efficient, scalable algorithm for interparticle interaction computation on private\u2010memory, single\u2010instruction multiple\u2010data (SIMD) parallel computers. We illustrate the application of this technique in a molecular dynamics kernel for rigid molecular solvents by simulating the structural and thermodynamic properties of water and methanol. The performance of this algorithm on the Thinking Machines' CM\u20102, private\u2010memory SIMD computer, is demonstrated to be good compared to conventional vector\/parallel supercomputers. 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