Figure 6: Comparison between -body simulations and the two fitting formulas in the
f (R) model (4.83) with . The circles and triangles show the results of -body
simulations with and without the chameleon mechanism, respectively. The arrow represents the
maximum value of by which the perturbation theory is valid. (Left) The fitting
formula by Smith et al. [540] is used to predict and . The solid and dashed lines
correspond to the power spectra with and without the chameleon mechanism, respectively. For
the chameleon case is determined by the perturbation theory with .
(Right) The -body results in [479] are interpolated to derive without the chameleon
mechanism. The obtained is used for the HS fitting formula to derive the power spectrum
in the chameleon case. From [371].
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