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Efficient implementation of periodic boundary conditions in Monte Carlo simulation
Authors:Dzmitry V. Shakhno  Aleh V. Shakhno  Eugene Paulechka
Affiliation:1. Institute of Physical Organic Chemistry, National Academy of Sciences of Belarus, 13 Surganova Street, Minsk, 220072, Belarus;2. High School #47, 7 Fabrichnaya Street, Minsk, 220033, Belarus;3. Thermodynamics Research Center, Applied Chemicals and Materials Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado, 80305-3337
Abstract:Determination of the shortest distances between particles is one of the most time-consuming parts of molecular simulation by the Monte Carlo method. In this work, we demonstrate that the use of signed-integer storage of coordinates in a scaled box allows one to skip multiple conditional statements in realization of periodic boundary conditions in cubic and rectangular boxes, which, in turn, increases the performance. Performance of the improved procedure was tested in NVT Monte Carlo simulations for liquid krypton and water. © 2018 Wiley Periodicals, Inc.
Keywords:integer arithmetic  periodic boundary conditions  molecular simulation  Monte Carlo  rectangular box
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