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 HeLaZ (Hermite-Laguerre Z-pinch solver, 2020)
 
-![] (phi_demo.gif)
+![] (demo_phi_00.gif)
 
 Roadmap : (Current version 1.4)
 
 0. Write MOLI matlab solver in Fortran using Monli1D as starting point
 
 	0.0 go from 1D space to 2D fourier and from Hermite basis to Hermite-Laguerre basis
 
 	0.1 implement linear Poisson equation in fourier space
 
 	0.2 implement moment hierarchy linear terms
 
 	0.3 RK4 time solver
 
 	0.4 Benchmark with MOLI matlab results for Z-pinch (cf. kz_linear script)
 		Note : benchmark_*.m compares MOLI and HeLaZ linear results
 
 	0.5 Load COSOlver matrices
 
 	0.6 Benchmarks now include Dougherty, Lenard-Bernstein and Full Coulomb collision operators
 	    Note : for full Coulomb, one must store a precomputed matrix from COSOlver in the iCa folder
 
 1. Implementation of the non linear Poisson brackets term
 
 	1.0 FFTW3 has been used to treat the convolution as a product and discrete fourier transform
 
 	1.1 Methods in fourier_mod.f90 have been validated by tests on Hasegawa Wakatani system
 
 	1.1 Qualitative test : find similar turbulences as Hasegawa Wakatani system with few moments
 
 	1.2 Zonal flows are observed in a similar way to Ricci Rogers 2006 with GS2
 
 	1.3 Linear analysis showed that a certain amount of PJ are recquired to trigger mode
 
 		1.3.1 The \eta_B = 0.5 case is easier since it converged better in linear analysis than \eta_B = 1.0
 
 		1.3.2 Collisionality helps
 
 	1.4 Quantitative study with stationary average particle flux \Gamma_\infty
 
 		1.4.1 Convergence study of \Gamma_\infty w.r.t. P and J
 
 		1.4.2 Direct comparison with GS2 results of Ricci,Rogers 2006