A code to solve the Vlasov–Fokker–Planck equation applied to particle transport in magnetic turbulence
A code to solve the Vlasov–Fokker–Planck equation applied to particle transport in magnetic turbulence
复制标题
求解应用于磁湍流中粒子输运的弗拉索夫-福克-普朗克方程的代码
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
R. Dendy
中科院分区：
文献类型：
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作者：
W. Hornsby;A. Bell;R. Kingham;R. Dendy
本文提出了一种新的程序，用有限差分法求解三维磁湍流中的VFP方程。该方法不同于粒子跟踪代码。速度空间分布函数的角分量由基于Bell等人（2006 Plasma Phys.Control. Fusion 48 R37）用于激光-等离子体相互作用模拟。这种方法能够精确地表示磁场和角散射效应对粒子分布函数的影响。该代码已被验证对碰撞和准线性湍流输运理论。它成功地解决了物理学的跨场运输制度的磁场，磁场扰动幅度和碰撞，很难使用其他方法进行研究。
We present a novel code which solves the Vlasov–Fokker–Planck (VFP) equation in three-dimensional magnetic turbulence using finite difference methods. The approach is distinct from particle tracking codes. The angular component of the velocity space distribution function is represented by a spherical harmonic expansion drawing on an approach pioneered by Bell et al (2006 Plasma Phys. Control. Fusion 48 R37) for laser–plasma interaction simulations. This method enables the accurate representation of magnetic fields and of the effect of angular scattering effects on a particle distribution function. The code has been verified against both collisional and quasi-linear turbulent transport theories. It is shown to address successfully the physics of cross-field transport in regimes of magnetic field field perturbation amplitude and collisionality that are difficult to study using other approaches.