“…While particle in cell simulations (of the Vlasov-Fokker-Planck equation) are limited to a few picoseconds due to their computation costs, a series of reduced-hydrodynamic models are being investigated to partially take into account some effects that might influence the nanosecond plasma evolution, such as the nonlocal electron transport, 29 the growth of parametric instability, the generation of fast electrons, 30 and the influence of self-induced magnetic fields. 31 A few experiments carried out at OMEGA 11,12,32,33 and LULI facilities [34][35][36] investigated the laser plasma interaction at SI intensities. The overall energy scattered by SRS/SBS in these experiments is disparate, in a range going from a few percent up to $40%-50% of the incident energy, strongly dependent on the irradiation geometry and on the laser intensity.…”