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It has been suggested by Chen and Lai that the proper description of thelarge scale structure formation of the universe in the post-reionization era,which is conventionally characterized via gas hydrodynamics, should include theplasma collective effects in the formulation. Specifically, it is the combinedpressure from the baryon thermal motions and the residual long-rangeelectrostatic potentials resulted from the imperfect Debye shielding, thatfights against the gravitational collapse. As a result, at small-scales thebaryons would oscillate at the ion-acoustic, instead of the conventionalneutral acoustic, frequency. In this paper we extend and improve the Chen-Laiformulation with the attention to the Landau damping of the ion-acousticoscillations. Since T_e \sim T_i in the post-reionization era, the ion acousticoscillations would inevitably suffer the Landau damping which severelysuppresses the baryon density spectrum in the regimes of intermediate and highwavenumber k. To describe this Landau-damping phenomenon more appropriately, wefind it necessary to modify the filtering wavenumber k_f in our analysis. Itwould be interesting if our predicted Landau damping of the ion-acousticoscillations can be observed at high redshifts.

Landau Damping of Baryon Structure Formation in the Post Reionization Epoch