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Coulomb effects on $\pi^\pm$ and $K^\pm$ spectra in relativistic nuclear collisions are investigated. At collision energies around 1 GeV the ratio of $\pi^-$ to $\pi^+$ is enhanced several times at low transverse momenta but less at…

Nuclear Theory · Physics 2008-11-26 H. W. Barz , J. P. Bondorf , J. J. Gaardhoje , H. Heiselberg

In this paper we present a new ultra efficient numerical method for solving kinetic equations. In this preliminary work, we present the scheme in the case of the BGK relaxation operator. The scheme, being based on a splitting technique…

Mathematical Physics · Physics 2015-06-04 Giacomo Dimarco , Raphaël Loubere

We present gyrokinetic simulations with the GENE code addressing the near-edge region of an L-mode plasma in the DIII-D tokamak. At radial position $\rho=0.80$, simulations with the ion temperature gradient increased by $40\%$ above the…

The triangular mesh-based gyrokinetic scheme enables comprehensive axis-to-edge studies across the entire plasma volume. Our approach employs triangular finite elements with first-derivative continuity (C1), building on previous work to…

This study presents an efficient and accurate discrete adjoint gas-kinetic scheme (GKS) for sensitivity analysis and aerodynamic shape optimization in continuum flow regimes. Developed using the backward mode of algorithmic differentiation…

Fluid Dynamics · Physics 2026-04-17 Hangkong Wu , Yuze Zhu , Yajun Zhu , Kun Xu

With the increase in computational capabilities over the last years it becomes possible to simulate more and more complex and accurate physical models. Gyrokinetic theory has been introduced in the 1960s and 1970s in the need of describing…

Plasma Physics · Physics 2024-02-12 Mario Raeth , Klaus Hallatschek , Katharina Kormann

We propose an Hermite spectral method for the Fokker-Planck-Landau (FPL) equation. Both the distribution functions and the collision terms are approximated by series expansions of the Hermite functions. To handle the complexity of the…

Computational Physics · Physics 2021-03-17 Ruo Li , Yinuo Ren , Yanli Wang

Based on the Hermite expansion of the distribution function, we introduce a Galerkin spectral method for the spatially homogeneous Boltzmann equation with the realistic inverse-power-law models. A practical algorithm is proposed to evaluate…

Numerical Analysis · Mathematics 2019-09-04 Yanli Wang , Zhenning Cai

In the context of global gyrokinetic simulations of turbulence using a Particle-In-Cell framework, verifying the delta-f assumption with a fixed background distribution becomes challenging when determining quasi-steady state profiles…

Low density plasmas are characterized by a large scale separation between the gyromotion of particles around local magnetic fields and the macroscopic scales of the system, often making global kinetic simulations computationally…

High Energy Astrophysical Phenomena · Physics 2023-09-15 Tyler Trent , Pierre Christian , Chi-kwan Chan , Dimitrios Psaltis , Feryal Ozel

The integrability of a classical Calogero systems with anti-periodic boundary condition is studied. This system is equivalent to the periodic model in the presence of a magnetic field. Gauge momentum operators for the anti-periodic Calogero…

High Energy Physics - Theory · Physics 2007-05-23 Arindam Chakraborty , Subhankar Ray , J. Shamanna

We present a high-order spatial discretization of a continuum gyrokinetic Vlasov model in axisymmetric tokamak edge plasma geometries. Such models describe the phase space advection of plasma species distribution functions in the absence of…

Computational Engineering, Finance, and Science · Computer Science 2018-08-15 Milo R. Dorr , Phillip Colella , Mikhail A. Dorf , Debojyoti Ghosh , Jeffrey A. F. Hittinger , Peter O. Schwartz

Work presented in this paper describes a general algorithm and its finite element implementation for performing concurrent multiple sub-domain simulations in linear structural dynamics. Using this approach one can solve problems in which…

Numerical Analysis · Mathematics 2013-12-25 Tejas Ruparel , Azim Eskandarian , James Lee

Microinstabilities drive turbulent fluctuations in inhomogeneous, magnetized plasmas. In the context of magnetic confinement fusion devices, this leads to an enhanced transport of particles, momentum, and energy, thereby degrading…

Plasma Physics · Physics 2024-03-20 Georgia Acton , Michael Barnes , Sarah Newton , Hanne Thienpondt

Large-angle Coulomb collisions lead to an avalanching generation of runaway electrons in a plasma. We present the first fully conservative large-angle collision operator, derived from the relativistic Boltzmann operator. The relation to…

Plasma Physics · Physics 2018-02-14 Ola Embréus , Adam Stahl , Tünde Fülöp

We develop an extension of the Gutzwiller Approximation (GA) formalism that includes the effects of Coulomb interactions of arbitrary range (including density density, exchange, pair hopping and Coulomb assisted hopping terms). This…

Strongly Correlated Electrons · Physics 2020-08-05 Garry Goldstein , Nicola Lanata , Gabriel Kotliar

The ALLIANCE code is developed to solve a new set of four-dimensional electromagnetic drift-kinetic equations in slab geometry [J. Plasma Phys. 88 905880117 (2022)]. The nonlinear equations are useful for the study of magnetized plasma…

Plasma Physics · Physics 2024-10-07 Evgeny A. Gorbunov , Bogdan Teaca

Full-f global gyrokinetic simulations of the plasma boundary have until now required heroic computational efforts and case-by-case expert intervention, precluding systematic parameter scans. Here we demonstrate a paradigm shift: hundreds of…

Plasma Physics · Physics 2026-05-18 A. C. D. Hoffmann , M. Francisquez , T. N. Bernard , G. W. Hammett , A. Hakim

We present a new model for simulating the electromagnetic fluctuations with frequencies much lower than the ion cyclotron frequency in plasmas confined in general magnetic configurations. This novel model (termed as GK-E&B) employs…

Plasma Physics · Physics 2020-11-19 Liu Chen , Haotian Chen , Fulvio Zonca , Yu Lin

A high-order piecewise field-aligned triangular finite element method is developed and implemented for global electromagnetic gyrokinetic particle-in-cell simulations of tokamak plasmas with open field lines. The approach combines locally…

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