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THE NATURE OF LIGHT DARK MATTER Peter L. Biermann ...

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Primordial magnetic fields<br />

• Ionization by secondary electron, from ionization:<br />

• The time scale for energy gain<br />

(e.g., Jokipii 2004)<br />

τ A = 4κ<br />

V 2 A<br />

(1)<br />

• Assuming B2 /8π<br />

I(k)k 1 and I(k) ∼ k−1<br />

to just cancel the energy loss by ionization<br />

B(z = 100) < 2 10−8 Gauß, corresponding<br />

to today<br />

B < 4 10 −12 Gauß. (2)<br />

• K. Dolag et al. (2002, 2005):<br />

B < (0.2 − 1.) × 10 −12 Gauß from structure<br />

formation simulations: consistent !<br />

9

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