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📄 two_stream_ee_em.inp

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two_stream_ee_em{This is the classic electron/electron two-stream instability, with counter-propagating electron beamshaving velocities much larger than their thermal velocity.We work in pseudo-1D geometry.  It's 2D Cartesian geometry, but the y-direction is only2 cells across with periodic BC's.  The x-direction is long.The field solve is electromagnetic.  If the electrons are non-relativistic (as is the case here), then it is faster to use the electrostatic approximation.  See input file  "two_stream_ee_es.inp".For the theory, see Sections 5-6 and 5-7 of the classic reference  C.K. Birdsall and A.B. Langdon  Plasma Physics via Computer Simulation  McGraw-Hill, 1985}Variables{// General numerical parameters  PI = 3.14159// **********************************************************************// General physical parameters// **********************************************************************  electronMassMKS = 9.1094e-31   electronCharge  = -1.6022e-19  speedLight      = 2.9979e8  electronDensityMKS = 0.5e+24  plasmaFrequency    = 2.*PI*9000.*sqrt(2.e-06*electronDensityMKS)  ds                 = 0.005 * speedLight / plasmaFrequency// **********************************************************************// Grid parameters// **********************************************************************  Nx = 256  Ny =   2  dx =  ds  dy =  dx  Lx =  Nx * dx  Ly =  Ny * dy  simulationVolume = Lx * Ly  numCells         = Nx * Ny//// streaming electrons//  totalNumElectrons    = electronDensityMKS * simulationVolume  numElectronsPerCell  = 4  numElectronPtcls     = numElectronsPerCell * numCells  electronNumRatio     = totalNumElectrons / numElectronPtcls  rmsElectronSpeedMKS  = 3.e+04  electronVelocityMKS  = 1.e+07  peakCurrentElectrons = electronCharge * electronDensityMKS * Ly * electronVelocityMKS  d = 1. / sqrt( 1./(dx*dx) + 1./(dy*dy) )  timeStep = 0.9 * d / speedLight}Region{Grid{  J = Nx   x1s = 0.0  x1f = Lx   n1 = 1.0   K = Ny   x2s = 0.0  x2f = Ly   n2 = 1.0  Geometry = 1         // 2D (x-y) slab geometry  PeriodicFlagX1 = 1   // periodic in x1 (x)  PeriodicFlagX2 = 1   // periodic in x2 (y)}Control{  dt = timeStep// Turn off the initial Poisson solve  initPoissonSolve = 0}Species{  name = electrons  m = electronMassMKS  q = electronCharge }// Load the right-going plasma electrons over the entire simulation regionLoad{  speciesName = electrons  density = electronDensityMKS  x1MinMKS = 0.0  x1MaxMKS = Lx  x2MinMKS = 0.0  x2MaxMKS = Ly  np2c = electronNumRatio// specify MKS units for all velocities  units = MKS  v1drift   = electronVelocityMKS  v1thermal = rmsElectronSpeedMKS  v2thermal = 0.  v3thermal = 0.}// Load the left-going plasma electrons over the entire simulation regionLoad{  speciesName = electrons  density = electronDensityMKS  x1MinMKS = 0.0  x1MaxMKS = Lx  x2MinMKS = 0.0  x2MaxMKS = Ly  np2c = electronNumRatio// specify MKS units for all velocities  units = MKS  v1drift   = -electronVelocityMKS  v1thermal = rmsElectronSpeedMKS  v2thermal = 0.  v3thermal = 0.}}

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