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Weekly Report 08.28 R97222004 蔡偉駿

Weekly Report 08.28 R97222004 蔡偉駿. This Week. Discussing with Feng -Ying about code. Read Dodelson’s book Ch.7 Read Pisin’s Paper “Plasma Suppression of Large Scale Structure Formation in the Universe”, and I’ll report it briefly. Pisin’s Plasma Paper Outline.

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Weekly Report 08.28 R97222004 蔡偉駿

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  1. Weekly Report 08.28R97222004蔡偉駿

  2. This Week Discussing with Feng-Ying about code. Read Dodelson’s book Ch.7 Read Pisin’s Paper “Plasma Suppression of Large Scale Structure Formation in the Universe”, and I’ll report it briefly.

  3. Pisin’s Plasma Paper Outline • Introduction • Plasma effect • Evolution of baryon perturbation • Matter power spectrum • Result

  4. Introduction Our aim is to seethe influence of plasma on : (1) Jean’s length and sound speed (2) Density perturbation equation (3) Power spectrum

  5. Plasma Effect What is plasma ? → A partially ionized gas which is approximately neutral Plasma state of the universe : (1) Pre-recombination (2) Post-reionization → It’s what we consider

  6. Plasma Effect • Debye shielding • Landau damping → Energy exchange between particles and wave • Finite temperature →Residual electric field

  7. Evolution of baryon perturbation • Modified baryon perturbation equation : where , , term is the contribution of residual E. field

  8. Evolution of baryon perturbation • Solving the equation (1) (a) Initial perturbation : by adiabatic condition , “ * ” means reionization (b) By thermodynamics and plasma physics (c) By Fourier Transform and (b), (1) becomes

  9. Evolution of baryon perturbation Solving the equation (1) (d) To solve eq(2) for a given k-mode, we must know the relationship between Jean’s scale( ) and expansion factor By adiabatic expansion and matter dominate and ,

  10. Evolution of baryon perturbation Solving the equation (1) (e) There are three regimes of k-mode to discuss Gravity dominates : linear growth plasma oscillation dominates : oscillates

  11. Evolution of baryon perturbation • Solving the equation (1) (f) Two kinds of solutions ：

  12. Matter power spectrum • Modified power spectrum ：Transfer function ：Growth function ：Modified Growth function

  13. Matter power spectrum

  14. Result

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