update some formulations as suggested by @sjplimp
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Parallel algorithms
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-------------------
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LAMMPS is from ground up designed to be running in parallel using the
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MPI standard with distributed data via domain decomposition. The
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parallelization has to be efficient to enable good strong scaling (=
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good speedup for the same system) and good weak scaling (= the
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computational cost of enlarging the system is proportional to the system
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size). Additional parallelization using GPUs or OpenMP can then be
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applied within the sub-domain assigned to an MPI process. For clarity,
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most of the following illustrations show the 2d simulation case. The
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underlying algorithms in those cases, however, apply to both 2d and 3d
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cases equally well.
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LAMMPS is designed to enable running simulations in parallel using the
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MPI parallel communication standard with distributed data via domain
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decomposition. The parallelization aims to be efficient result in good
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strong scaling (= good speedup for the same system) and good weak
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scaling (= the computational cost of enlarging the system is
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proportional to the system size). Additional parallelization using GPUs
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or OpenMP can also be applied within the sub-domain assigned to an MPI
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process. For clarity, most of the following illustrations show the 2d
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simulation case. The underlying algorithms in those cases, however,
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apply to both 2d and 3d cases equally well.
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.. note::
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