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Initial condition problem for cosmological N-body simulations

  • E. Pécontal, T. Buchert, Ph. Di Stefano, Y. Copin, T. Tatekawa (a1) and S. Mizuno (a2)...


For a long time, the Lagrangian linear perturbation (Zel'dovich approximation, ZA) is used for initial conditions for cosmological N-body simulations. Recently, Crocce et al. (2006) proposed the improvement of the initial conditions. They applied Lagrangian second-order perturbation (2LPT) for the initial condition. Then they calculated the Lagrangian linear perturbation and showed that 2LPT initial conditions improve the evolution of non-Gaussianity for the density fluctuation in the Universe. Here we have one question. Although 2LPT initial conditions improve the cosmological N-body simulation, is 2LPT initial conditions sufficient? To answer this question, in addition to the ZA and 2LPT, we also calculate the non-Gaussianity with the initial conditions based on third-order Lagrangian perturbation theory (3LPT). Then we show reasonable order of perturbation and redshift for the initial conditions.



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[1] Crocce, M., Pueblas, S., & Scoccimarro, R., 2006, MNRAS, 373, 369
[2] Tatekawa, T., & Mizuno, S., 2007, JCAP, 12, 014
[3] Tatekawa, T., & Mizuno, S., in preparation
[4] Zel'dovich, Ya.B., 1970, A&A, 5, 84


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