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Outstanding advances in solid-state laser technology, employing the optical parametric chirped-pulse-amplification (OPCPA) technique, have led physicists to focus laser pulses to highly-relativistic intensities which led to novel schemes…

Plasma Physics · Physics 2026-01-28 Szilárd Majorosi , Nasr Hafz , Zsolt Lécz

An integrated simulation approach fully based upon particle-in-cell (PIC) model is proposed, which involves both fast particle generation via laser solid-density plasma interaction and transport and energy deposition of the particles in…

Plasma Physics · Physics 2015-01-12 W. -M. Wang , P. Gibbon , Z. -M. Sheng , Y. -T. Li

Validity of fluid models breaks down for non-thermal or weakly collisional plasmas which often occur e.g. in the solar wind. In these regimes one has to resort to modelling through the first-principle Vlasov-Maxwell system, but its…

Plasma Physics · Physics 2025-12-01 Rostislav-Paul Wilhelm , Fabio Bacchini

The traditional explicit electrostatic momentum-conserving Particle-in-cell algorithm requires strict resolution of the electron Debye length to deliver numerical accuracy. The explicit electrostatic energy-conserving Particle-in-Cell…

Plasma Physics · Physics 2023-08-31 Andrew T. Powis , Igor D. Kaganovich

In the wake of the intense effort made for the experimental CILEX project, numerical simulation cam- paigns have been carried out in order to finalize the design of the facility and to identify optimal laser and plasma parameters. These…

Computational Physics · Physics 2016-04-20 Arnaud Beck , Jacob Trier Frederiksen , Julien Dérouillat

The propagation of intense laser pulses and the generation of high energy electrons from the underdense plasmas are investigated using two dimensional particle-in-cell simulations. When the ratio of the laser power and a critical power of…

Plasma Physics · Physics 2007-05-23 Susumu Kato , Eisuke Miura , Mitsumori Tanimoto , Masahiro Adachi , Kazuyoshi Koyama

This paper discusses temporally continuous and discrete forms of the speed-limited particle-in-cell (SLPIC) method first treated by Werner et al. [Phys. Plasmas 25, 123512 (2018)]. The dispersion relation for a 1D1V electrostatic plasma…

Plasma Physics · Physics 2021-08-31 Thomas G. Jenkins , Gregory R. Werner , John R. Cary

The development and the implementation of a Particle-in-Cell code written in the Unified Parallel C (UPC) language for plasma simulations with application to astrophysics and fusion nuclear energy machines are presented. A simple one…

Computational Physics · Physics 2011-08-10 Stefano Markidis , Giovanni Lapenta

The paper provides a tutorial to the conceptual layout of a self-consistently coupled Particle-In-Cell/Test-Particle model for the kinetic simulation of sputtering transport in capacitively coupled plasmas at low gas pressures. It explains…

Plasma Physics · Physics 2017-11-27 Jan Trieschmann , Frederik Schmidt , Thomas Mussenbrock

Hamiltonian particle-based simulations of plasma dynamics are inherently computationally intensive, primarily due to the large number of particles required to obtain accurate solutions. This challenge becomes even more acute in many-query…

Numerical Analysis · Mathematics 2025-06-19 Emmanuel Franck , Laurent Navoret , Vincent Vigon , Raphaël Côte , Guillaume Steimer

Recent developments in high peak-power table-top laser systems reaching highly relativistic light intensities have led to significant advances in laser-driven particle acceleration schemes (mainly the laser wakefield acceleration, LWFA)…

Plasma Physics · Physics 2026-05-13 Szilárd Majorosi , Nasr A. M. Hafz , Zsolt Lécz

Room-temperature metals and semi-metals which consist of a gas of bound electrons in a near-continuum band structure can be classified as cold quantum plasmas. This insight suggests that Particle-in-Cell (PIC) simulations, traditionally…

Plasma Physics · Physics 2025-01-14 Gregory K. Ngirmang , Hue T. B. Do , Guangxin Liu , Michel Bosman , Lin Wu

A fundamental task in particle-in-cell (PIC) simulations of plasma physics is solving for charged particle motion in electromagnetic fields. This problem is especially challenging when the plasma is strongly magnetized due to numerical…

Computational Physics · Physics 2026-01-01 Tri P. Nguyen , Ilon Joseph , Mayya Tokman

Plasma wakefield acceleration is a groundbreaking technique for accelerating particles, capable of sustaining gigavolt-per-meter accelerating fields. Understanding the physical mechanisms governing the recovery of plasma accelerating…

Plasma Physics · Physics 2026-02-04 G. Parise , A. Cianchi , M. Galletti , F. Guglietta , R. Pompili , A. R. Rossi , M. Sbragaglia , D. Simeoni

We present an explicit temporal discretization of particle-in-cell schemes for the Vlasov equation that results in exact energy conservation when combined with an appropriate spatial discretization. The scheme is inspired by a simple,…

Numerical Analysis · Mathematics 2024-11-15 Lee F. Ricketson , Jingwei Hu

The aim of this work is to perform numerical simulations of the propagation of a laser in a plasma. At each time step, one has to solve a Helmholtz equation in a domain which consists in some hundreds of millions of cells. To solve this…

Numerical Analysis · Mathematics 2009-11-13 Sylvain Desroziers , Frédéric Nataf , Remi Sentis

Numerical simulations of plasma flows are crucial for advancing our understanding of microscopic processes that drive the global plasma dynamics in fusion devices, space, and astrophysical systems. Identifying and classifying particle…

Computational Physics · Physics 2020-10-13 Stefano Markidis , Ivy Peng , Artur Podobas , Itthinat Jongsuebchoke , Gabriel Bengtsson , Pawel Herman

Solving for charged particle motion in electromagnetic fields (i.e. the particle pushing problem) is a computationally intensive component of particle-in-cell (PIC) methods for plasma physics simulations. This task is especially challenging…

Computational Physics · Physics 2026-01-01 Tri P. Nguyen , Ilon Joseph , Mayya Tokman

Experimental results, supported by precise modelling, demonstrate optimisation of a plasma-based injector with intermediate laser pulse energy ($<1$ J), corresponding to a normalised vector potential $a_0 = 2.15$, using ionisation injection…

A simulation package employing a Particle in Cell (PIC) method is developed to study the high current beam transport and the dynamics of plasmas. This package includes subroutines those are suited for various planned projects at University…

Accelerator Physics · Physics 2016-06-21 N. Joshi