Yukawa vs. Newton: gravitational forces in a cubic cosmological simulation box
Department of Physics, Istanbul Technical University, 34469, Maslak, Istanbul, Turkey
2 Department of Mathematics and Physics, North Carolina Central University, 1801 Fayetteville St., 27707, Durham, North Carolina, USA
Accepted: 5 March 2022
Published online: 28 March 2022
We study the behaviour of Yukawa and Newtonian gravitational forces in a cubic box with fully periodic boundaries commonly encountered in N-body simulations of the structure formation. Placing a single gravitating body at the origin of coordinates, we reveal the scales at which non-negligible deviation from the Yukawa law occurs when the Newtonian approximation is employed. We discuss the results in terms of the corresponding physical distances today as well as earlier, back at the matter-dominated stage. Revisiting the problem for free boundaries, we also compare the periodic and plain gravitational forces for Yukawa-type interactions.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022