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Phase-space distribution function

{title2=$\rho$}
{wiki}

The energy density is energy per unit volume. A homogeneous particle species with one-particle energy $E(\mathbf p)$ has
$$
\rho=g\int\frac{d^3p}{(2\pi)^3}E(\mathbf p)f(\mathbf p).
$$


Energy density

Entropy density

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 310 / 1 / a / iii / Solution

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 310 / 1 / a / ii / Solution

Energy density ( $ρ$ )

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Energy density (ρ)

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Energy density ( $ρ$ )

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