📄 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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