Chapter 4 Hydrodynamics of Laser Plasma as Neutral Fluids

4.1 Laser Solid Interaction

Linear Heat Conduction c : constant Heat Diffusion (Linear)

Heat Wave by Electron or Radiation Drunken Walk Model Finite differential Eq. Nonlinear Heat Wave

4. 2 Plasma as Fluids 1. Equation of Continuity 2. Equation of Motion 3. Equation of State P = P(r,T) 4. Equation of Energy

Lagrangian and Euler Description of time evolution of fluid プラズマ物理学（第４回） 2017/4/27 Lagrangian and Euler Description of time evolution of fluid 理学部物理（３回生）平成１４年度

Typical EOS of Material from Solid to Plasma States

Sound Wave 1. Linearized Equations 3. Propagation Equation 2. Sound Velocity General Solution r1 = f(x-Vst) + g(x+Vst)

Compressibility of Fluids 4. Bulk Modulus 5. Incompressible Fluids 6. Potential Flow 9

3, Rankin-Hugoniot Relation 1. Nonlinearity Shock Wave 3, Rankin-Hugoniot Relation 1. Nonlinearity P0, V0 P1, V1 2. Shock Waves

Shock Waves by High Velocity

Shock Tube Experiment

Deflagration Wave

Chemical Deflagration

P-V Diagram of Laser Plasma

Simulation Example High-Gain Implosion ILESTA-code

Ablation Pressure (Mbar) 4.3 Ablation Physics Ablation Pressure (Mbar) Experimental Data Laser Intensity (W/cm2)

Photon and Ablation Pressures

1020 difference t 4.4 Blast Wave Laser BW Supernova BW Self-similar Solution 2/5 R = t 1020 difference

Normalized Sedov-Taylor Self-Similar Solution

Blast Wave E=109 J TNT 1 ton 100 m 1cm Laser Blast Wave E=100 J

E=1017J H-Bomb 1 Mega Ton TNT

Taylor-Sedov is also called Taylor-Sedov-Neuman Solution von Neuman and ENIAC

E=1044J Supernova Remnant (Cas A)

4.5 Supernova Remnants (SNRs) SN1987A

Supernova Explosion

Tyco SNR

Young SNRs by Chandra(US X-s) Cas A Kepler Tycho 0.06pc 0.04pc 0.01pc 0.007pc 0.02pc 0.02pc

4.6 Young Stellar Jets and Bow Shocks

Experiment Rage(LANL) PETRA(AWE) CALE(LLNL) Simulations(2D)