Numerical Simulations of Self-Gravitating Systems Through Collision less Boltzmann Equation on Six-Dimensional Phase Space

点击翻译按钮获取中文摘要

We develop a numerical simulation code for self-gravitating systems which directly integrates the collisionless Boltzmann equation coupled with the Poisson equation on the six-dimensional phase space, and perform, for the first time, a set of numerical simulations of self-gravitating systems using the collisionless Boltzmann equation with a scientifically meaningful problem size. Furthermore, by comparing the results obtained from both of our numerical simulations and conventional N-body simulations, we confirm the validity of our numerical method and estimate its advantage and disadvantages over the conventional N-body method. We also adopt our method to numerical simulations of the large-scale structure formation in the universe by extending our implementation into the cosmological comoving frame, and confirm its validity again by comparing the results with those from conventional N-body simulations.