论文标题
调查使用现场求解器来模拟经典系统
Investigating the use of field solvers for simulating classical systems
论文作者
论文摘要
我们探讨了将场求解器用作经典弗拉索夫 - 波森系统的近似值。在静电和重力环境中研究了这种对应关系。我们证明了场求解器的能力是在非线性状态下冷初始条件的出色近似值。我们还研究了采用多个堆叠冷水的Schrödinger-Poisson系统的扩展，而Von Neumann-Poisson方程是可以成功地重现暖初始条件的经典演化的方法。然后，我们讨论如何选择适当的仿真参数，以避免在现场求解器解决方案中进行干扰项，混叠和波浪行为。我们提出了一系列标准，阐明了如何选择参数才能有效近似经典解决方案。
We explore the use of field solvers as approximations of classical Vlasov-Poisson systems. This correspondence is investigated in both electrostatic and gravitational contexts. We demonstrate the ability of field solvers to be excellent approximations of problems with cold initial condition into the non linear regime. We also investigate extensions of the Schrödinger-Poisson system that employ multiple stacked cold streams, and the von Neumann-Poisson equation as methods that can successfully reproduce the classical evolution of warm initial conditions. We then discuss how appropriate simulation parameters need to be chosen to avoid interference terms, aliasing, and wave behavior in the field solver solutions. We present a series of criteria clarifying how parameters need to be chosen in order to effectively approximate classical solutions.
