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The relative motion of a classical relativistic spinning test particle is studied with respect to a nearby free test particle in the gravitational field of a rotating source. The effects of the spin-curvature coupling force are elucidated…

General Relativity and Quantum Cosmology · Physics 2011-07-19 C. Chicone , B. Mashhoon , B. Punsly

We propose and study a Particle-In-Cell (PIC) method based on the Crank-Nicolson time discretization for the Vlasov-Poisson system with a strong and inhomogeneous external magnetic field with fixed direction, where we focus on the motion of…

Numerical Analysis · Mathematics 2025-12-04 Francis Filbet , L Miguel Rodrigues , Kim Han Trinh

We illustrate how our recent light-front approach simplifies relativistic electrodynamics with an electromagnetic (EM) field $F^{\mu\nu}$ that is the sum of a (even very intense) plane travelling wave $F_t^{\mu\nu}(ct\!-\!z)$ and a static…

Plasma Physics · Physics 2023-05-10 Gaetano Fiore

We briefly report on a recent proposal (Fiore in J Phys A Math Theor 51:085203, 2018) for simplifying the equations of motion of charged particles in an electromagnetic (EM) field $F^{\mu\nu}$ that is the sum of a plane travelling wave…

Plasma Physics · Physics 2018-07-03 Gaetano Fiore , Paolo Catelan

Relativistic fluid dynamics is a major component in dynamical simulations of the quark-gluon plasma created in relativistic heavy-ion collisions. Simulations of the full three-dimensional dissipative dynamics of the quark-gluon plasma with…

Computational Physics · Physics 2018-03-02 Dennis Bazow , Ulrich W. Heinz , Michael Strickland

We review various approaches to approximating general relativistic effects in hydrodynamic simulations of stellar core collapse and post-bounce evolution. Different formulations of a modified Newtonian gravitational potential are presented.…

Astrophysics · Physics 2009-11-11 Harald Dimmelmeier , Pablo Cerda-Duran , Andreas Marek , Guillaume Faye

In recent years, dynamical relativistic jet simulation techniques have progressed to a point where it is becoming possible to fully numerically resolve gamma-ray burst (GRB) blast-wave evolution across scales. However, the modeling of…

High Energy Astrophysical Phenomena · Physics 2021-12-15 Eliot H. Ayache , Hendrik J. van Eerten , Rupert W. Eardley

We present a methodology for simulating dilute suspensions of particles settling under gravity, with the main purpose of overcoming limitations of triply periodic configurations, mainly the strong vertical correlation that hinders the study…

Fluid Dynamics · Physics 2026-04-24 M. Moriche , M. García-Villalba , M. Uhlmann

The diffusion limit of the linear Boltzmann equation with a strong magnetic field is performed. The giration period of particles around the magnetic field is assumed to be much smaller than the collision relaxation time which is supposed to…

Analysis of PDEs · Mathematics 2010-05-31 Naoufel Ben Abdallah , Raymond El Hajj

The coherent potential approximation (CPA) is extended to describe satisfactorily the motion of particles in a random potential which is spatially correlated and smoothly varying. In contrast to existing cluster-CPA methods, the present…

Disordered Systems and Neural Networks · Physics 2009-10-20 Roland Zimmermann , Christoph Schindler

We propose a novel tomographic method, nonlinear Gaussian process tomography (nonlinear GPT), that uses the Laplace approximation to impose constraints on non-negative physical quantities, such as the emissivity in plasma optical…

Plasma Physics · Physics 2026-03-17 Kenji Ueda , Masaki Nishiura

We compare relativistic particle integrators commonly used in plasma physics showing several test cases relevant for astrophysics. Three explicit particle pushers are considered, namely the Boris, Vay, and Higuera-Cary schemes. We also…

Instrumentation and Methods for Astrophysics · Physics 2019-02-07 Bart Ripperda , Fabio Bacchini , Jannis Teunissen , Chun Xia , Oliver Porth , Lorenzo Sironi , Giovanni Lapenta , Rony Keppens

Kinetic Particle In Cell (PIC) methods can extend greatly their range of applicability if implicit time differencing and spatial adaption are used to address the wide range of time and length scales typical of plasmas. For implicit…

Plasma Physics · Physics 2008-06-05 Giovanni Lapenta

We present a dynamical framework for modeling the motion of point-like charged particles, with or without mass, in general external electromagnetic fields. A key feature of this formulation is the treatment of time coordinate as a dynamical…

Classical Physics · Physics 2026-01-07 Zui Oporto , Gonzalo Marcelo Ramírez-Ávila

I outline the theory of relativistic charged-particle motion in the magnetosphere in a way suitable for undergraduate courses. I discuss particle and guiding center motion, derive the three adiabatic invariants associated with them, and…

Space Physics · Physics 2015-06-03 M. Kaan Öztürk

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

This study is aimed at investigating the dynamic evolution of the orbits of stellar globular clusters (GCs). To integrate the orbits backward in time, the authors use models of the time-varying potentials derived from cosmological…

Astrophysics of Galaxies · Physics 2023-01-18 Maryna Ishchenko , Margaryta Sobolenko , Peter Berczik , Taras Panamarev

A general Hamiltonian theory for the adiabatic motion of relativistic charged particles confined by slowly-varying background electromagnetic fields is presented based on a unified Lie-transform perturbation analysis in extended phase space…

Plasma Physics · Physics 2009-11-13 Xin Tao , Anthony Chan , Alain Brizard

Since variational symplectic integrators for the guiding center was proposed [1,2], structure-preserving geometric algorithms have become an active research field in plasma physics. We found that the slow manifolds of the classical Pauli…

Plasma Physics · Physics 2021-05-19 Jianyuan Xiao , Hong Qin

In this paper, we present an efficient algorithm for the long time behavior of plasma simulations. We will focus on 4D drift-kinetic model, where the plasma's motion occurs in the plane perpendicular to the magnetic field and can be…

Numerical Analysis · Mathematics 2014-10-01 Francis Filbet , Chang Yang
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