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Equilibria in magnetic confinement devices result from force balancing between the Lorentz force and the plasma pressure gradient. In an axisymmetric configuration like a tokamak, such an equilibrium is described by an elliptic equation for…

Numerical Analysis · Mathematics 2025-06-13 Daniel A. Serino , Qi Tang , Xian-Zhu Tang , Tzanio V. Kolev , Konstantin Lipnikov

Rheologically complex soft solids such as thermal greases consist of filler particles within a polymer matrix. These materials find applications in improving the conformity of solid-solid contacts and enhancing heat transfer. Complex soft…

Soft Condensed Matter · Physics 2025-08-08 Pranay P. Nagrani , Akshay J. Thomas , Amy M. Marconnet , Ivan C. Christov

We present an open-source, performant, pure-python molecular dynamics (MD) suite for non-ideal plasmas. The code, Sarkas, aims to accelerate the research process by providing an MD code but also pre- and post-processing tools. Sarkas offers…

The Kadomtsev pinch, namely the Z-pinch profile marginally stable to interchange modes, is revisited in light of observations from axisymmetric MHD modeling of the FuZE sheared-flow-stabilized Z-pinch experiment. We show that Kadomtsev's…

Plasma Physics · Physics 2024-04-11 Daniel W. Crews , Iman A. M. Datta , Eric T. Meier , Uri Shumlak

We present the AGATE simulation code, a Python-based framework developed primarily for solving the magnetohydrodynamics (MHD) equations while maintaining adaptability to other equation sets. The code employs a modular, object-oriented…

Plasma Physics · Physics 2025-05-15 Chris Bard , John Dorelli

A radially adaptive numerical scheme is developed to solve the Grad-Shafranov equation for axisymmetric magnetohydrodynamic equilibrium. A decomposition with independent solutions is employed in the radial direction and Fourier…

Plasma Physics · Physics 2023-01-09 Linjin Zheng , M. T. Kotschenreuther , F. L. Waelbroeck , Y. Todo

Generalized Nash equilibrium problem (GNEP) is fundamental for practical applications where multiple self-interested agents work together to make optimal decisions. In this work, we study GNEP with shared distributionally robust chance…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Yixun Wen , Yulong Gao , Boli Chen

This paper presents a novel 3-D full electromagnetic particle-in-cell (PIC) code called JefiPIC, which uses Jefimenko's equations as the electromagnetic (EM) field solver through a full-space integration method. Leveraging the power of…

Computational Physics · Physics 2023-12-27 Jiannan Chen , Jun-Jie Zhang , Xueming Li , Hai-Liang Qiao , Yongtao Zhao

In future nuclear fusion reactors, even a small fraction of fusion-born energetic particles (EP) about 100 times hotter than the thermal bulk species, contributes substantially to the kinetic pressure and therefore affect the MHD…

A generalized fluid-particle hybrid model for collisionless plasmas under the assumption of quasi-neutrality is presented. The system consists of fluid ions and electrons as well as arbitrary numbers of species whose dynamics is governed by…

Space Physics · Physics 2018-05-09 Takanobu Amano

A new approach to high pressure magnetically-confined plasmas is necessary to design efficient fusion devices. This paper presents an equilibrium combining two solutions of the Grad-Shafranov equation, which describes the…

Plasma Physics · Physics 2009-11-13 P. -A. Gourdain , S. C. Cowley , J. -N. Leboeuf

PYROBOCOP is a Python-based package for control, optimization and estimation of robotic systems described by nonlinear Differential Algebraic Equations (DAEs). In particular, the package can handle systems with contacts that are described…

Robotics · Computer Science 2022-03-21 Arvind Raghunathan , Devesh K. Jha , Diego Romeres

The GAP package QDistRnd implements a probabilistic algorithm for finding the minimum distance of a quantum low-density parity-check code linear over a finite field GF(q). At each step several codewords are randomly drawn from a…

Quantum Physics · Physics 2023-08-30 Leonid P. Pryadko , Vadim A. Shabashov , Valerii K. Kozin

For the calculation of complex neutral/ionized gas phase chemical equilibria, we present a semi-analytical versatile and efficient computer program, called FastChem. The applied method is based on the solution of a system of coupled…

Earth and Planetary Astrophysics · Physics 2018-06-27 J. W. Stock , D. Kitzmann , A. B. C. Patzer , E. Sedlmayr

We propose a new concept for the dynamics of a quantum bath, the Chebyshev space, and a new method based on this concept, the Chebyshev space method. The Chebyshev space is an abstract vector space that exactly represents the fermionic or…

Strongly Correlated Electrons · Physics 2008-02-21 Andreas Alvermann , Holger Fehske

We perform simulations of an impulsively-started, axisymmetric viscoelastic jet exiting a nozzle and entering a stagnant gas phase using the open-source code Basilisk. This code allows for efficient computations through an…

Fluid Dynamics · Physics 2024-11-20 Konstantinos Zinelis , Thomas Abadie , Gareth H. McKinley , Omar K. Matar

We extend previous work [Y. E. Litvinenko, Phys. Plasmas 17, 074502 (2010)] on a direct method for finding similarity reductions of partial differential equations such as the Grad-Shafranov equation, to the case of the generalized…

Plasma Physics · Physics 2024-04-10 A. I. Kuiroukidis , D. A. Kaltsas , G. N. Throumoulopoulos

In this paper the first non-linear force-free Vlasov-Maxwell equilibrium is presented. One component of the equilibrium magnetic field has the same spatial structure as the Harris sheet, but whereas the Harris sheet is kept in force balance…

Plasma Physics · Physics 2009-10-30 Michael G. Harrison , Thomas Neukirch

A real-time safe multi-threading library was developed on the DIII-D plasma control system to optimize the realtime TORBEAM and real-time STRIDE physics codes. These physics codes are crucial for future fusion power plant operation as they…

Plasma Physics · Physics 2025-11-18 A. Rothstein , K. Erickson , R. Conlin , A. Bortolon , E. Kolemen

This paper concerns the dynamics of a layer of incompressible viscous fluid lying above a rigid plane and with an upper boundary given by a free surface. The fluid is subject to a constant external force with a horizontal component, which…

Analysis of PDEs · Mathematics 2018-03-14 Ian Tice