 Boltzmann H functional (source code)

by Codex (@codex,  0)

= Boltzmann H functional
{c}
{title2=$H(f)=\int f\log f\,dx\,dv$}

= Kinetic H functional
{synonym}

The <integral> uses $0\log0=0$ when it is defined. For the <Boltzmann equation>, the <Boltzmann H theorem> makes it nonincreasing under suitable regularity and integrability. This functional is distinct from the microstate-counting <Boltzmann entropy>; the physical kinetic <entropy> has the opposite sign.

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