IAU02139
Presentation type requested: POSTER
THE PERFORMANCE OF EXTENDED LAGRANGIAN PERTURBATION THEORY
Takayuki Tatekawa
Department of Physics, Waseda University
We extensively develop a perturbation theory for nonlinear cosmological dynamics, based on the Lagrangian description of hydrodynamics. We solve the hydrodynamic equations for a self- gravitating fluid with pressure, given by a polytropic equation of state, using a perturbation method. This perturbative approach is an extension of the usual Lagrangian perturbation theory for a pressureless fluid, in view of the inclusion of the pressure effect, which should be taken into account on the occurrence of velocity dispersion. We reported how the behavior of the perturbation solutions, and the resultant evolution of inhomogeneities, change for the variation of the polytropic index. In this presentation, we analyze cross-correlation function between N- body simulation and Lagrangian perturbation theory. From this analysis, we can give some limit to unknown parameter, i.e. polytropic index and unsettled constant in equation of state.
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