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Sedov-Taylor Blast Wave

What you are seeing: a strong point explosion releases energy EE into a uniform medium of density ρ1\rho_1. The blast wave expands self-similarly: R(t)=ξ0(Et2/ρ1)1/5R(t) = \xi_0 (E t^2 / \rho_1)^{1/5}. Post-shock density is exactly 4ρ14\rho_1 for γ=5/3\gamma = 5/3.

Figure 1. Blastwave radius vs time and density jump.
log10(E / erg)51.00
log10(n / cm⁻³)0.00

WHAT TO TRY

  • Watch the shell sweep outward and slow: the gas piles into a thin dense rim (compression rho2/rho1 = 4 for a strong shock) that cools from white to orange to red as the shock decelerates.
  • The bottom plot stays a straight line of slope 2/5 on log axes: R proportional to t^(2/5), the self-similar Sedov-Taylor law that let Taylor read the Trinity bomb yield from declassified fireball photos.
  • Raise the explosion energy or lower the ambient density: the remnant reaches any given radius sooner, but the 2/5 slope never changes, only the line shifts.