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Coupling of electron heat conduction and magnetic field takes significant effects in inertial confinement fusion (ICF). As the nonlocal models for electron heat conduction have been developed for modeling kinetic effects on heat flux in…

Plasma Physics · Physics 2025-10-31 Xinyu Zhu , Wenqiang Yuan , Yusen Wang , Zhipeng Zhang , Xianxu Jin , Zhonghai Zhao , Bin Qiao

Laser produced high-energy-density plasmas may contain strong magnetic fields that affect the energy transport, which can be nonlocal. Models which describe the magnetized nonlocal transport are formally complicated and based on many…

Plasma Physics · Physics 2017-06-14 D. Del Sorbo , J. -L. Feugeas , Ph. Nicolaï , M. Olazabal-Loumé , B. Dubroca , V. Tikhonchuk

We present nanosecond timescale Vlasov-Fokker-Planck-Maxwell modeling of magnetized plasma transport and dynamics in a hohlraum with an applied external magnetic field, under conditions similar to recent experiments. Self-consistent…

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…

A system of nonlocal electron-transport equations for small perturbations in a magnetized plasma is derived using the systematic closure procedure of V. Yu. Bychenkov et al., Phys. Rev. Lett. 75, 4405 (1995). Solution to the linearized…

Plasma Physics · Physics 2009-11-10 A. V. Brantov , V. Yu. Bychenkov , W. Rozmus , C. E. Capjack , R. Sydora

We present a simple method to incorporate nonlocal effects on the Nernst advection of magnetic fields down steep temperature gradients, and demonstrate its effectiveness in a number of inertial fusion scenarios. This is based on assuming…

We propose a second-order temporally implicit, fourth-order-accurate spatial discretization scheme for the strongly anisotropic heat transport equation characteristic of hot, fusion-grade plasmas. Following [Du Toit et al., Comp. Phys.…

Computational Physics · Physics 2024-09-11 L. Chacon , Jason Hamilton , Natalia Krasheninnikova

The interaction of lasers with plasmas very often leads to nonlocal transport conditions, where the classical hydrodynamic model fails to describe important microscopic physics related to highly mobile particles. In this study we analyze…

In modern inertial fusion experiments there is a complex interplay between non-locality and magnetisation that can greatly influence transport. In this work we use a matrix recursion method to include higher-order corrections beyond the…

Plasma Physics · Physics 2021-01-12 H. C. Watkins , R. J. Kingham

How momentum, energy, and magnetic fields are transported in the presence of macroscopic gradients is a fundamental question in plasma physics. Answering this question is especially challenging for weakly collisional, magnetized plasmas,…

Plasma Physics · Physics 2026-03-04 Prakriti Pal Choudhury , Archie F. A. Bott

We present a data-driven framework for the modeling of nonlocal heat transport in plasmas using a nonlocal theory informed neural network trained on kinetic Particle-in-Cell simulations that span both local and nonlocal regimes. The model…

Recent theory has demonstrated a novel physics regime for magnetic reconnection in high-energy-density plasmas where the magnetic field is advected by heat flux via the Nernst effect. Here we elucidate the physics of the electron…

A long standing puzzle in fusion research comes from experiments where a sudden peripheral electron temperature perturbation is accompanied by an almost simultaneous opposite change in central temperature, in a way incompatible with local…

Plasma Physics · Physics 2014-03-21 F. Sattin , D. F. Escande

The phenomena of nonlocal transport in magnetically confined plasma are theoretically analyzed. A hybrid model is proposed, which brings together the notion of inverse energy cascade, typical of drift-wave- and two-dimensional fluid…

Plasma Physics · Physics 2013-07-02 Alexander V. Milovanov , Jens Juul Rasmussen

This research was motivated by the recent observations indicating very strong magnetic fields at some supernova remnant shocks, which suggests in-situ generation of magnetic turbulence. The dissertation presents a numerical model of…

High Energy Astrophysical Phenomena · Physics 2009-04-27 Andrey Vladimirov

Reduced models for approximating the impact of kinetic electron behavior on the transport of thermal energy and magnetic field are investigated. The thermal flux limiter has improved agreement with Vlasov-Fokker-Planck data when a harmonic…

Plasma Physics · Physics 2024-06-27 Chris Walsh , Mark Sherlock

A solution to the Boltzmann equation is obtained for a magnetized plasma with strongly degenerate nonrelativistic electrons and nondegenerate nuclei. The components of the diffusion, thermal diffusion and diffusion thermoeffect tensors in a…

High Energy Astrophysical Phenomena · Physics 2019-02-05 G. S. Bisnovatyi-Kogan , M. V Glushikhina

Through the process of inward diffusion, a strongly localized clump of plasma is created in a magnetosphere. The creation of the density gradient, instead of the usual flattening by a diffusion process, can be explained by the topological…

Plasma Physics · Physics 2016-02-25 N. Sato , Z. Yoshida , Y. Kawazura

We present a hydrodynamic model, grounded in Madelung's formalism, to describe collective electronic motion in anisotropic materials. This model incorporates nonlocal contributions from the Thomas-Fermi quantum pressure and quantum effects…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 A. J. Chaves , Line Jelver , D. R. da Costa , Joel D. Cox , N. Asger Mortensen , Nuno M. R. Peres

Electron heat flux is an important and often dominant mechanism of energy transport in a variety of collisional plasmas in a confined fusion or astrophysical context. While nonlocal conductive heat transport, driven by strong temperature…

Plasma Physics · Physics 2025-07-25 Nicholas Mitchell , David Chapman , Grigory Kagan
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