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4. Structure of Dark Matter halos Obviously, we cannot observe the ...

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6-4-10see http://www.strw.leidenuniv.nl/˜ franx/college/galaxies10 10-c04-3<br />

Simulations show that <strong>the</strong> concentration index is strongly<br />

correlated with <strong>the</strong> mass and <strong>the</strong> redshift. Approximately<br />

c ∝<br />

−1/9 M<br />

(1 + z) −1<br />

M∗<br />

where M∗ is <strong>the</strong> charateristic halo mass at a given<br />

mass (similar to <strong>the</strong> Schechter L∗ for <strong>the</strong> luminosity<br />

function <strong>of</strong> galaxies, and z is <strong>the</strong> redshift <strong>of</strong> <strong>the</strong> halo.<br />

Hence low mass <strong>halos</strong> have higher concentration.<br />

The figures below shows <strong>the</strong> fits to <strong>halos</strong> from simulations<br />

6-4-10see http://www.strw.leidenuniv.nl/˜ franx/college/galaxies10 10-c04-4

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