5 papers
Hyper Boris integrators for kinetic plasma simulations and their connection to 3D rotation representations
S. Zenitani, T. N. Kato
Particle-in-cell (PIC) simulation is one of the most important research tools in theoretical plasma physics. To solve the motion of charged particles, the Boris method (a.k.a. the…
An approximate Kappa generator for particle simulations
Seiji Zenitani, Takayuki Umeda
A random number generator for the Kappa velocity distribution in particle simulations is proposed. Approximating the cumulative distribution function with the q-exponential functio…
Loading non-Maxwellian Velocity Distributions in Particle Simulations
Seiji Zenitani, Shunsuke Usami, Shuichi Matsukiyo
Numerical procedures for generating non-Maxwellian velocity distributions in particle simulations are presented. First, Monte Carlo methods for an distribution that general…
Hyper Boris integrators for kinetic plasma simulations
Seiji Zenitani, Tsunehiko N. Kato
We propose a family of numerical solvers for the nonrelativistic Newton--Lorentz equation in kinetic plasma simulations. The new solvers extend the standard 4-step Boris procedure,…
A gamma variate generator with shape parameter less than unity
Seiji Zenitani
Algorithms for generating random numbers that follow a gamma distribution with shape parameter less than unity are proposed. Acceptance-rejection algorithms are developed, based on…