TY - JOUR A1 - Nishikawa, Ken-Ichi A1 - Mizuno, Yosuke A1 - Gómez, Jose L. A1 - Duţan, Ioana A1 - Meli, Athina A1 - Niemiec, Jacek A1 - Kobzar, Oleh A1 - Pohl, Martin A1 - Sol, Helene A1 - MacDonald, Nicholas A1 - Hartmann, Dieter H. T1 - Relativistic jet simulations of the weibel instability in the slab model to cylindrical jets with helical magnetic fields T2 - Galaxies N2 - The particle-in-cell (PIC) method was developed to investigate microscopic phenomena, and with the advances in computing power, newly developed codes have been used for several fields, such as astrophysical, magnetospheric, and solar plasmas. PIC applications have grown extensively, with large computing powers available on supercomputers such as Pleiades and Blue Waters in the US. For astrophysical plasma research, PIC methods have been utilized for several topics, such as reconnection, pulsar dynamics, non-relativistic shocks, relativistic shocks, and relativistic jets. PIC simulations of relativistic jets have been reviewed with emphasis placed on the physics involved in the simulations. This review summarizes PIC simulations, starting with the Weibel instability in slab models of jets, and then focuses on global jet evolution in helical magnetic field geometry. In particular, we address kinetic Kelvin-Helmholtz instabilities and mushroom instabilities. KW - particle-in-cell simulations KW - relativistic jets KW - the Weibel instability KW - kink-like instability KW - mushroom instability KW - global jets KW - helical magnetic fields KW - recollimation shocks Y1 - 2019 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/51500 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-515002 SN - 2075-4434 N1 - This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited VL - 7 IS - 1, Art. 29 SP - 1 EP - 20 PB - MDPI CY - Basel ER -