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In this work, we develop and rigorously analyze a new class of particle methods for the magnetized Vlasov--Poisson--Fokker--Planck system. The proposed approach addresses two fundamental challenges: (1) the curse of dimensionality, which we…

数值分析 · 数学 2025-03-03 Anjiao Gu , Xiaojiang Zhang

Chemical reactions inside cells are generally considered to happen within fixed-size compartments. Needless to say, cells and their compartments are highly dynamic. Thus, such stringent assumptions may not reflect biochemical reality, and…

定量方法 · 定量生物学 2016-02-17 Atiyo Ghosh , Tatiana T. Marquez-Lago

The 1D Ising model is the simplest Hamiltonian-based model in statistical mechanics. The sim- plest interacting particle process is the Symmetric Exclusion Process (SEP), a 1D lattice gas of particles that hop symmetrically and cannot…

统计力学 · 物理学 2018-10-11 Joshua D M Hellier , Graeme J Ackland

Nonlinear evolutions of an ultra-intense, short laser pulse due to the wake excitation inside the plasma are studied by means of detailed Particle-In-Cell (PIC) simulations and comprehensive analyses. Pulse lengths both longer and shorter…

等离子体物理 · 物理学 2018-04-26 Jam Yazdanpanah , Elnaz Yazdani , Elnaz Khalilzadeh , Amir Chakhmachi

This paper investigates subcycling of particle orbits in variational, geometric particle-in-cell methods addressing the Vlasov--Maxwell system in magnetized plasmas. The purpose of subcycling is to allow different time steps for different…

计算物理 · 物理学 2020-11-13 Eero Hirvijoki , Katharina Kormann , Filippo Zonta

To rigorously model fast ions in fusion plasmas, a non-Maxwellian equilibrium distribution must be used. In the work, the response of high-energy alpha particles to electrostatic turbulence has been analyzed for several different tokamak…

等离子体物理 · 物理学 2015-05-13 George Wilkie , Ian Abel , Edmund Highcock , William Dorland

We propose a spectral Particle-In-Cell (PIC) algorithm that is based on the combination of a Hankel transform and a Fourier transform. For physical problems that have close-to-cylindrical symmetry, this algorithm can be much faster than…

等离子体物理 · 物理学 2016-05-04 Remi Lehe , Manuel Kirchen , Igor A. Andriyash , Brendan B. Godfrey , Jean-Luc Vay

In this work the explicit solution of the electronic plasma diffusion with radiation reaction force, under the action of an exponential decay external electric field is given. The electron dynamics is described by a classical generalized…

To better understanding the principal features of collisionless damping/growing plasma waves we have implemented a demonstrative calculation for the simplest cases of electron waves in two-stream plasmas with the delta-function type…

等离子体物理 · 物理学 2007-08-07 V. N. Soshnikov

An integrated simulation approach fully based upon particle-in-cell (PIC) model is proposed, which involves both fast particle generation via laser solid-density plasma interaction and transport and energy deposition of the particles in…

等离子体物理 · 物理学 2015-01-12 W. -M. Wang , P. Gibbon , Z. -M. Sheng , Y. -T. Li

Recent progress in coherent quantum interactions between free-electron pulses and laser-induced near-field light have revolutionized electron wavepacket shaping. Building on these advancements, we numerically explore the potential of…

光学 · 物理学 2023-08-30 Fatemeh Chahshouri , Nahid Talebi

We present a new algorithm for the discretization of the Vlasov-Maxwell system of equations for the study of plasmas in the kinetic regime. Using the discontinuous Galerkin finite element method for the spatial discretization, we obtain a…

等离子体物理 · 物理学 2017-11-22 J. Juno , A. Hakim , J. TenBarge , E. Shi , W. Dorland

Kinetic plasma processes, such as magnetic reconnection, collisionless shocks, and turbulence, are fundamental to the dynamics of astrophysical and laboratory plasmas. Simulating these processes often requires particle-in-cell (PIC)…

等离子体物理 · 物理学 2025-06-11 S. R. Totorica , K. V. Lezhnin , W. Fox

We obtain a convergent power series expansion for the first branch of the dispersion relation for subwavelength plasmonic crystals consisting of plasmonic rods with frequency-dependent dielectric permittivity embedded in a host medium with…

偏微分方程分析 · 数学 2015-05-14 Santiago Fortes , Robert Lipton , Stephen Shipman

Simple finite differencing of the anisotropic diffusion equation, where diffusion is only along a given direction, does not ensure that the numerically calculated heat fluxes are in the correct direction. This can lead to negative…

天体物理仪器与方法 · 物理学 2015-05-19 Prateek Sharma , Gregory W. Hammett

The advancement of millimeter wave and terahertz technologies have revolutionized high speed wireless networks and precise tracking systems. These technologies offer unique penetration capabilities in specific scenarios, significantly…

等离子体物理 · 物理学 2023-11-15 Wenbo Liu , Peian Li , Guohao Liu , Jianjun Ma , Houjun Sun

In the multi-type totally asymmetric simple exclusion process (TASEP) on the line, each site of Z is occupied by a particle labeled with some number, and two neighboring particles are interchanged at rate one if their labels are in…

概率论 · 数学 2012-11-16 Gideon Amir , Omer Angel , Benedek Valkó

This paper formulates a new particle-in-cell method for the Vlasov-Maxwell system. Under the Lorenz gauge condition, Maxwell's equations for the electromagnetic fields can be written as a collection of scalar and vector wave equations. The…

等离子体物理 · 物理学 2024-01-18 Andrew J. Christlieb , William A. Sands , Stephen White

We report a new particle in cell (PIC) method based on the semi-implicit approach. The novelty of the new method is that unlike any of its semi-implicit predecessors at the same time retains the explicit computational cycle and conserves…

计算物理 · 物理学 2017-03-08 Giovanni Lapenta

Although, for current laser pulse energies, the weakly nonlinear regime of LWFA is known to be the optimal for reaching the highest possible electron energies, the capabilities of upcoming large laser systems will provide the possibility of…

等离子体物理 · 物理学 2017-04-06 Erik Wallin , Arkady Gonoskov , Christopher Harvey , Olle Lundh , Mattias Marklund