Solving N-body problems with neural networks.
We show a new approach for solving the N-body problems based on neural networks. Without loss of generality, we derived a network solution for the time-dependent positions of N bodies in self-gravitating systems. The simulation is limited to a system of collisionless disks-a case for determining the spatial distributions of dark matter and in reproducing global effects such as formation of spiral galaxies. Our approach yields a solution that is analytic with time-reversed path-tracing capabilities that could lead to new findings in the study of the collective behavior of N-body systems.
Quito
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M
National Institute of Physics, University of the Philippines, Diliman, Quezon City 1101, The Philippines.
Monterola
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C
Saloma
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C