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We use a series of cosmological N-body simulations and various analyticmodels to study the evolution of the matter power spectrum in real space in a\Lambda Cold Dark Matter universe. We compare the results of N-body simulationsagainst three analytical model predictions; standard perturbation theory,renormalized perturbation theory, and the closure approximation. We include theeffects from finite simulation box size in the comparison. We determine thevalues of the maximum wavenumbers, k^{lim}_{1%} and k^{lim}_{3%}, below whichthe analytic models and the simulation results agree to within 1 and 3 percent,respectively. We then provide a simple empirical function which describes theconvergence regime determined by comparison between our simulations and theanalytical models. We find that if we use the Fourier modes within theconvergence regime alone, the characteristic scale of baryon acousticoscillations can be determined within 1% accuracy from future surveys with avolume of a few h^{-3}Gpc^3 at z\sim1 or z\sim3 in the absence of anysystematic distortion of the power spectrum.

Modeling Nonlinear Evolution of Baryon Acoustic Oscillations: Convergence Regime of N-body Simulations and Analytic Models