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01.Evolution Equations for Grain Growth and Coarsening (pp.5-60)
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The Cosmological Linear and Nonlinear Growth in the Accelerating Universe (pp.303-330) $100.00
Authors:  (Seokcheon Lee, Institute of Physics, Academia Sinica, Taipei, Taiwan, R.O.C.)
The present cosmological observations have confirme that the present Universe is
expanding at an accelerating rate. One of the most popular solutions to this conundrum
is introducing the so called “dark energy” which is the dominant energy contribution
to the present energy of the Universe with its equation of state, wde ' 1. The effects
of a dark energy component can be obtained mainly from both the cosmic microwave
background (CMB) observations and the large scale structure formation ones. Even
though early time properties of the dark energy dynamics can be extracted from the
acoustic feature of the CMB anisotropy, the relevant characters of it have to be proved
by investigating physical processes occurring at low redshifts when it starts dominating
the cosmic expansion. Thus, the dark energy consequences on the large scale structure
formation is the one of the most powerful tools. In this chapter, we investigate
the cosmological implications of dark energy on both the sub-horizon scale growth
of the matter density perturbation and the clustering by using the so called ”spherical
collapse model”. We provide both the exact and approximate solutions for linear and
non-linear perturbations. We provide the differences on the large scale structure formations
between different dark energy models. We also investigate the cluster number
calculations based on this specifi model. 

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The Cosmological Linear and Nonlinear Growth in the Accelerating Universe (pp.303-330)