Abstract
A new method for solving the differential-algebraic set of equations, describing the kinetics of primary plasma recombination in the early Universe, is proposed. The method is based on the use of some properties of the initial high-dimensional set to construct a low-dimensional set which is mathematically equivalent in essentiality to the initial set. At the expense of certain complication of the algorithm for computing the coefficients describing the model atom with a small number of bound states, in comparison with conventional methods, complete agreement between the solution to the obtained low-dimensional set and corresponding components of the initial set is achieved. The described method allows construction of the algorithm for solving the recombination kinetics whose accuracy is comparable to integration of the complete multilevel set of kinetic equations and whose computational burden per model is comparable to the method used in the RECFAST code.
Similar content being viewed by others
References
S. Seager, D. D. Sasselov, and D. Scott, Astrophys. J. Supp. 128, 407 (2000).
M. S. Burgin, Astron. Zh. 80, 771 (2003) [Astron. Rep. 47, 709 (2003)].
S. Seager, D. D. Sasselov, and D. Scott, Astrophys. J. Lett. 523, L1 (1999).
The Planck Collaboration, arXiv:astro-ph/0604069v1 (2006).
M. S. Burgin, Kratkie Soobshcheniya po Fizike 36(4), 26 (2009) [Bulletin of the Lebedev Physics Institute 36, 110 (2009)].
J. A. Rubiño-Martín, J. Chluba, and R. A. Sunyaev, Mon. Not. Royal Astron. Soc. 371, 1939 (2006).
V. K. Dubrovich and N. N. Shakhvorostova, Pisma Astron. Zh. 30, 563 (2004) [Astron. Lett. 30, 509 (2004)].
V. K. Dubrovich and S. I. Grachev, Pisma Astron. Zh. 31, 403 (2005) [Astron. Lett. 31, 359 (2005)].
W. Y. Wong and D. Scott, Mon. Not. Royal Astron. Soc. 375, 1441 (2007).
J. Chluba and R. A. Sunyaev, Astron. Astrophys. 480, 629 (2008).
C. M. Hirata, Phys. Rev. D 78, 023001 (2008).
Author information
Authors and Affiliations
Additional information
Original Russian Text © M.S. Burgin, 2010, published in Kratkie Soobshcheniya po Fizike, 2010, Vol. 37, No. 9, pp. 30–36.
About this article
Cite this article
Burgin, M.S. Reduced multilevel atom method for calculating cosmological recombination kinetics. Bull. Lebedev Phys. Inst. 37, 280–283 (2010). https://doi.org/10.3103/S1068335610090058
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068335610090058