Built on

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2018

Statistical properties of paired fixed fields

Villaescusa-Navarro, Francisco, Naess, Sigurd, Genel, Shy et al.

Understand

The initial conditions of cosmological simulations are commonly drawn from a Gaussian ensemble.

The limited number of modes inside a simulation volume gives rise to statistical fluctuations known as \textit{sample variance}, limiting the accuracy of simulation predictions.
Fixed fields offer an alternative initialization strategy; they have the same power spectrum as standard Gaussian fields but without intrinsic amplitude scatter at linear order.
Paired fixed fields consists of two fixed fields with opposite phases that cancel phase correlations which otherwise induce second-order scatter in the non-linear power spectrum.

Built on

Smith, R. E. 2009, MNRAS, 400, 851, [arXiv:0810.1960]
Original
1960
Earlier work this paper cites.
Davis, M., Efstathiou, G., Frenk, C. S., & White, S. D. M. 1985, ApJ, 292, 371
1985
Earlier work this paper cites.
Torrey, P., Vogelsberger, M., Genel, S., Sijacki, D., Springel, V., & Hernquist, L. 2014, MNRAS, 438, 1985, [arXiv:1305.4931]
Original
1985
Earlier work this paper cites.
Springel, V., White, S. D. M., Tormen, G., & Kauffmann, G. 2001, MNRAS, 328, 726, [arXiv:arXiv:astro-ph/0012055]
2001
Earlier work this paper cites.
Bernardeau, F., Colombi, S., Gaztañaga, E., & Scoccimarro, R. 2002, Phys. Rep., 367, 1, [arXiv:astro-ph/0112551]
2002
Earlier work this paper cites.
Scoccimarro, R., & Sheth, R. K. 2002, MNRAS, 329, 629, [arXiv:astro-ph/0106120]
2002
Earlier work this paper cites.
Taffoni, G., Monaco, P., & Theuns, T. 2002, MNRAS, 333, 623, [arXiv:astro-ph/0109324]
2002
Earlier work this paper cites.
Springel, V. 2005, MNRAS, 364, 1105, [arXiv:arXiv:astro-ph/0505010]
2005
Earlier work this paper cites.
Heitmann, K., Higdon, D., White, M., Habib, S., Williams, B. J., Lawrence, E., & Wagner, C. 2009, ApJ, 705, 156, [arXiv:0902.0429]
Original
2009
Earlier work this paper cites.
——. 2010, MNRAS, 401, 791, [arXiv:0901.4107]
Original
2010
Earlier work this paper cites.
Viel, M., Haehnelt, M. G., & Springel, V. 2010, J. Cosmology Astropart. Phys, 6, 015, [arXiv:1003.2422]
Original
2010
Earlier work this paper cites.
Kitaura, F.-S., & Heß, S. 2013, MNRAS, 435, L78, [arXiv:1212.3514]
Original
2013
Earlier work this paper cites.