I'm reading http://www.ndsu.edu/fileadmin/physics.ndsu.edu/Wagner/LBbook.pdf (pg 12, 3.2.2) about the lattice boltzmann method. I'm speaking of his specfic form of the Maxwell-Boltzman and his claim that the integral of equilibrium distribution is equal to n(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int f^0 = n[/tex]

[tex]f^0(v)=\frac{n}{(2\pi\theta)^{3/2}}e^{-(v-u)^2/2\theta}[/tex]

But when I use gaussian integrals I don't get n but rather [tex]\frac{n}{2\pi\theta}[/tex]. What am I missing?

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# Integral of Maxwell-Boltzmann

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