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We present a novel numerical scheme for simulating the motion of relativistic charged particles in magnetospheres of compact objects, typically filled with highly magnetized collisionless plasmas. The new algorithm is based on a dynamic…

High Energy Astrophysical Phenomena · Physics 2020-11-04 Fabio Bacchini , Bart Ripperda , Alexander A. Philippov , Kyle Parfrey

The present work extends earlier considerations on a quintessential model of cold, collisionless plasmas, namely the Adlam-Allen model. Previously, an analysis of homoclinic solutions around a non-vanishing background (associated with a…

Pattern Formation and Solitons · Physics 2025-04-24 George P. Veldes , Vassilis Koukouloyannis , Dimitrios J. Frantzeskakis , Panayotis G. Kevrekidis

We investigate facility effects on a reduced-scale gridded ion thruster plume using a fully kinetic, three-dimensional Particle-in-Cell/Monte Carlo Collision (PIC-MCC) solver coupled with a Direct Simulation Monte Carlo (DSMC) neutral…

Plasma Physics · Physics 2025-11-19 Gyuha Lim , Deborah Levin

This paper presents a new resolution strategy for multi-scale streamer discharge simulations based on a second order time adaptive integration and space adaptive multiresolution. A classical fluid model is used to describe plasma…

Numerical Analysis · Mathematics 2012-04-10 Max Duarte , Zdenek Bonaventura , Marc Massot , Anne Bourdon , Stéphane Descombes , Thierry Dumont

Ion transport, often described by the Poisson--Nernst--Planck (PNP) equations, is ubiquitous in electrochemical devices and many biological processes of significance. In this work, we develop conservative, positivity-preserving, energy…

Numerical Analysis · Mathematics 2020-07-15 Jie Ding , Zhongming Wang , Shenggao Zhou

The present article proposes a diffuse interface model for compressible multicomponent flows with transport phenomena of mass, momentum and energy (i.e., mass diffusion, viscous dissipation and heat conduction). The model is reduced from…

Analysis of PDEs · Mathematics 2022-10-26 Chao Zhang , Lifeng Wang

Implicit solvation is an effective, highly coarse-grained approach in atomic-scale simulations to account for a surrounding liquid electrolyte on the level of a continuous polarizable medium. Originating in molecular chemistry with finite…

Chemical Physics · Physics 2021-08-06 Stefan Ringe , Nicolas G. Hörmann , Harald Oberhofer , Karsten Reuter

The pursuit of high optical depth and long coherence time in atomic ensembles faces a fundamental thermodynamic constraint: heating enhances light-atom coupling via increased density but degrades coherence through thermal broadening, while…

Atomic Physics · Physics 2025-05-06 Changhao Cheng , Jinxian Guo

The properties of a partially ionized plasma in a long cylindrical tube subject to a uniform axial electric field are investigated. The plasma is maintained by an external ionizing source balanced by bulk and surface recombinations.…

Plasma Physics · Physics 2009-10-30 Joel L. Lebowitz , Alexander Rokhlenko

Electroconvective flow between two infinitely long parallel electrodes is investigated via a multiphysics computational model. The model solves for spatiotemporal flow properties using two-relaxation-time Lattice Boltzmann Method for fluid…

Computational Physics · Physics 2019-07-31 Yifei Guan , Igor Novosselov

Streamer discharges pose basic problems in plasma physics, as they are very transient, far from equilibrium and have high ionization density gradients; they appear in diverse areas of science and technology. The present paper focuses on the…

Plasma Physics · Physics 2013-11-13 S. Dujko , A. H. Markosyan , R. D. White , U. Ebert

To determine the electron heat flux density on macroscopic scales, the most widely used approach is to solve a diffusion equation through a multi-group technique. This method is however restricted to transport induced by temperature…

We present the theory and implementation of a Poisson-Boltzmann implicit solvation model for electrolyte solutions. This model can be combined with arbitrary electronic structure methods that provide an accurate charge density of the…

Computational Physics · Physics 2020-01-08 Christopher J. Stein , John M. Herbert , Martin Head-Gordon

A new model for the electrical conductivity of dense plasmas with a mixture of ion species, containing no adjustable parameters, is presented. The model takes the temperature, mass density and relative abundances of the species as input. It…

Plasma Physics · Physics 2020-04-22 C. E. Starrett , N. R. Shaffer , D. Saumon , R. Perriot , T. Nelson , L. A. Collins , C. Ticknor

We review a scalable two- and three-dimensional computer code for low-temperature plasma simulations in multi-material complex geometries. Our approach is based on embedded boundary (EB) finite volume discretizations of the minimal…

Computational Physics · Physics 2019-05-01 Robert Marskar

A novel Douglas alternating direction implicit (ADI) method is proposed in this work to solve a two-dimensional (2D) heat equation with interfaces. The ADI scheme is a powerful finite difference method for solving parabolic equations, due…

Numerical Analysis · Mathematics 2014-07-01 Shan Zhao

We present the IAMReX, an adaptive and parallel solver for particle-resolved simulations on the multi-level grid. The fluid equations are solved using a finite-volume scheme on the block-structured semi-staggered grids with both subcycling…

Fluid Dynamics · Physics 2024-08-27 Xuzhu Li , Chun Li , Xiaokai Li , Wenzhuo Li , Mingze Tang , Yadong Zeng , Zhengping Zhu

A local turbulence model is developed to study energy cascades in the heliosheath and outer heliosphere (OH) based on self-consistent two-dimensional fluid simulations. The model describes a partially ionized magnetofluid OH that couples a…

Space Physics · Physics 2015-05-14 Dastgeer Shaikh , G. P. Zank

The effects of radiation on the structure of shocks in a fully-ionized plasma are investigated by solving the steady-state fluid equations for ions, electrons, and radiation. The electrons and ions are assumed to have the same bulk velocity…

High Energy Astrophysical Phenomena · Physics 2016-03-28 Bryan M. Johnson , Richard I. Klein

We develop an all-electron path integral Monte Carlo (PIMC) method with free-particle nodes for warm dense matter and apply it to water and carbon plasmas. We thereby extend PIMC studies beyond hydrogen and helium to elements with core…

Materials Science · Physics 2012-03-22 Kevin Driver , Burkhard Militzer
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