Unlike-particle collision operator for gyrokinetic particle simulations

2010 ◽  
Vol 229 (15) ◽  
pp. 5564-5572 ◽  
Author(s):  
R.A. Kolesnikov ◽  
W.X. Wang ◽  
F.L. Hinton
Keyword(s):  
Collision Operator ◽  
Particle Collision ◽  
Particle Simulations

Improved Unlike-Particle Collision Operator for delta-f Drift-Kinetic Particle Simulations

2011 ◽  
Vol 9 (2) ◽  
pp. 231-239
Author(s):  
R. A. Kolesnikov ◽  
W. X. Wang ◽  
F. L. Hinton
Keyword(s):  
Collision Operator ◽  
Particle Simulation ◽  
Particle Collision ◽  
Nonlocal Effects ◽  
Toroidal Plasmas ◽  
Neoclassical Transport ◽  
Particle Simulations ◽  
Impurity Ion ◽  
Ion Species ◽  
Particle Operator

AbstractPlasmas in modern tokamak experiments contain a significant fraction of impurity ion species in addition to main deuterium background. A new unlike-particle collision operator for δf particle simulation has been developed to study the nonlocal effects of impurities due to finite ion orbits on neoclassical transport in toroidal plasmas. A new algorithm for simulation of cross-collisions between different ion species includes test-particle and conserving field-particle operators. An improved field-particle operator is designed to exactly enforce conservation of number, momentum and energy.

On the macroscopic dynamics induced by a model wave-particle collision operator

1998 ◽  
Vol 10 (3) ◽  
pp. 153-178 ◽  
Author(s):  
P. Degond ◽  
José L. López ◽  
P.F. Peyrard
Keyword(s):  
Collision Operator ◽  
Particle Collision ◽  
Model Wave

scholarly journals Monte Carlo method and High Performance Computing for solving Fokker–Planck equation of minority plasma particles

2015 ◽  
Vol 81 (3) ◽  
Author(s):  
E. Hirvijoki ◽  
T. Kurki-Suonio ◽  
S. Äkäslompolo ◽  
J. Varje ◽  
T. Koskela ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
High Performance Computing ◽  
High Performance ◽  
Collision Operator ◽  
Planck Equation ◽  
Energetic Ions ◽  
The Monte Carlo Method ◽  
Particle Simulations ◽  
Performance Computing

This paper explains how to obtain the distribution function of minority ions in tokamak plasmas using the Monte Carlo method. Since the emphasis is on energetic ions, the guiding-center transformation is outlined, including also the transformation of the collision operator. Even within the guiding-center formalism, the fast particle simulations can still be very CPU intensive and, therefore, we introduce the reader also to the world of high-performance computing. The paper is concluded with a few examples where the presented method has been applied.

Like-particle collisional interactions in an inhomogeneous plasma

1976 ◽  
Vol 15 (2) ◽  
pp. 269-277 ◽  
Author(s):  
F. Santini ◽  
F. Engelmann
Keyword(s):  
Inhomogeneous Plasma ◽  
Three Dimensional ◽  
Collision Operator ◽  
Particle Collision ◽  
Equilibrium Potential ◽  
One Dimensional ◽  
Resonant Interactions ◽  
Particle Population ◽  
Collisional Interactions ◽  
Made In

A like-particle collision operator is derived for an inhomogeneous plasma with a periodic equilibrium potential which traps part of the particle population. The derivation is made in the guiding centre approximation (one-dimensional orbits along a strong magnetic field), and only resonant interactions are considered. The effect of the particle bouncing replaces that of the three-dimensional orbits in this limit. For resonances between different harmonics of the bounce motion the operator does not vanish as happens in the classical one-dimensional case. A discussion of the general equations describing this effect is presented together with some estimates.

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