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Thermodynamics & Statistical Physics

Stefan-Boltzmann Law

The physical law asserting that total radiant power emitted per unit surface area of a blackbody is proportional to the fourth power of its absolute thermodynamic temperature.

Governing formula E = σ T⁴, σ = 5.670374 × 10⁻⁸ W/(m²·K⁴)
SI unit W/m²

In depth

Doubling a surface's Kelvin temperature increases its radiant energy output by a factor of $2^4 = 16$.

Examples in the real world

Calculating total energy radiated by stellar surfaces like the Sun ($T ≈ 5778 K$).