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The effective numerical method is developed performing the test of the hyperbolicity of chaotic dynamics. The method employs ideas of algorithms for covariant Lyapunov vectors but avoids their explicit computation. The outcome is a…

Chaotic Dynamics · Physics 2012-03-28 Pavel V. Kuptsov

There are recent shifts in demand for design controllers from simplified to complex model-based. Although simplification approaches are successful in many areas of engineering control systems, high-fidelity simulation-based control design,…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Jongrae Kim

Three numerical algorithms are proposed to solve the time-dependent elastodynamic equations in elastic solids. All algorithms are based on approximating the solution of the equations, which can be written as a matrix exponential. By…

Geophysics · Physics 2007-05-23 J. S. Kole

Fluids cooled to the liquid-vapor critical point develop system-spanning fluctuations in density that transform their visual appearance. Despite the rich phenomenology of this critical point, there is not currently an explanation of the…

Statistical Mechanics · Physics 2020-10-09 Moupriya Das , Jason R. Green

This article presents novel methods for synthesizing distributionally robust stabilizing neural controllers and certificates for control systems under model uncertainty. A key challenge in designing controllers with stability guarantees for…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Kehan Long , Jorge Cortes , Nikolay Atanasov

The Simulation of Cherenkov light lateral distribution function (LDF) from particles of Extensive Air Showers (EAS) with ultra high energy cosmic rays (E>=10^16 eV) was simulated for primary protons by the computer code CORSIKA. The…

General Physics · Physics 2011-04-14 A. A. Al-Rubaiee

We describe an implementation of a particle physics module available for the PLUTO code, appropriate for the dynamical evolution of a plasma consisting of a thermal fluid and a non-thermal component represented by relativistic charged…

High Energy Astrophysical Phenomena · Physics 2018-05-23 A. Mignone , G. Bodo , B. Vaidya , G. Mattia

The advent of high-power Hall thrusters and the increasing interest towards their use as a primary propulsion system for various missions have given a new boost to the efforts aiming at self-consistent predictive modeling of this thruster…

Plasma Physics · Physics 2022-06-10 Farbod Faraji , Maryam Reza , Aaron Knoll

In this course we will give examples for experimental techniques used in particle physics experiments. After a short introduction, we will discuss applications in silicon microstrip detectors, wire chambers, and single photon detection in…

High Energy Physics - Experiment · Physics 2010-12-13 J. Engelfried

This paper introduces a novel formulation of the Particle-In-Cell (PIC) method for the modeling of relativistic plasmas, which leverages the ability of the Pseudo-Spectral Analytical Time-Domain solver (PSATD) to handle arbitrary time…

Plasma Physics · Physics 2023-12-29 Olga Shapoval , Edoardo Zoni , Remi Lehe , Maxence Thevenet , Jean-Luc Vay

The filamentation instability driven by two spatially uniform and counter-streaming beams of charged particles in plasmas is modelled by a particle-in-cell (PIC) simulation. Each beam consists of the electrons and positrons. The four…

Plasma Physics · Physics 2009-05-05 M E Dieckmann , P K Shukla , L Stenflo

Theoretical and numerical analysis of the relativistic effects on the Richtmyer-Meshkov (RM) instability reveals new and potentially very useful effects. We find that, in contrast with the non- relativistic case, the growth rate of the RM…

High Energy Astrophysical Phenomena · Physics 2015-06-17 F. Mohseni , M. Mendoza , S. Succi , H. J. Herrmann

Violent relaxation (VR) is often regarded as the mechanism leading stellar systems to collisionless meta equilibrium via rapid changes in the collective potential. We investigate the role of chaotic instabilities on single particle orbits…

Astrophysics of Galaxies · Physics 2025-06-04 Simone Sartorello , Pierfrancesco Di Cintio , Alessandro Alberto Trani , Mario Pasquato

In the context of the analysis of the chaotic properties of homogeneous and isotropic turbulence, direct numerical simulations are used to study the fluctuations of the finite time Lyapunov exponent (FTLE) and its relation to Reynolds…

Fluid Dynamics · Physics 2020-02-19 Richard Ho , Andres Armua , Arjun Berera

Perturbation theory is a powerful tool for studying large-scale structure formation in the universe and calculating observables such as the power spectrum or bispectrum. However, beyond linear order, typically this is done by assuming a…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-09 Nicholas Choustikov , Zvonimir Vlah , Anthony Challinor

Intermittent fluctuations in the boundary of magnetically confined plasmas are investigated by numerical turbulence simulations of a reduced fluid model describing the evolution of the plasma density and electric drift vorticity in the…

In order to perform physically faithful particle-in-cell (PIC) simulations, the Gauss's law stands as a critical requirement, since its violation often leads to catastrophic errors in long-term plasma simulations. This work proposes a novel…

Plasma Physics · Physics 2025-06-04 Zhonghua Qiao , Zhenli Xu , Qian Yin , Shenggao Zhou

Particle-in-Cell (PIC) simulation is the most important numerical tool in plasma physics. However, its long-term accuracy has not been established. To overcome this difficulty, we developed a canonical symplectic PIC method for the…

We study the Richtmyer--Meshkov (RM) instability of a relativistic perfect fluid by means of high order numerical simulations with adaptive mesh refinement (AMR). The numerical scheme adopts a finite volume Weighted Essentially…

Fluid Dynamics · Physics 2014-11-04 Olindo Zanotti , Michael Dumbser

The piece-wise parabolic method (PPM) is applied to simulations of forced isotropic turbulence with Mach numbers $\sim 0.1... 1$. The equation of state is dominated by the Fermi pressure of an electron-degenerate fluid. The dissipation in…

Astrophysics · Physics 2007-05-23 W. Schmidt , W. Hillebrandt , J. C. Niemeyer