Particle-Particle, Particle-Scaling function (P3S) algorithm for electrostatic problems in free boundary conditions

Physics – Computational Physics

Scientific paper

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19 pages, 11 figures, submitted to: Journal of Chemical Physics

Scientific paper

10.1063/1.2746328

An algorithm for fast calculation of the Coulombic forces and energies of point particles with free boundary conditions is proposed. Its calculation time scales as N log N for N particles. This novel method has lower crossover point with the full O(N^2) direct summation than the Fast Multipole Method. The forces obtained by our algorithm are analytical derivatives of the energy which guarantees energy conservation during a molecular dynamics simulation. Our algorithm is very simple. An MPI parallelised version of the code can be downloaded under the GNU General Public License from the website of our group.

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