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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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this week
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
Pisin’s Plasma Paper Outline
  • Introduction
  • Plasma effect
  • Evolution of baryon perturbation
  • Matter power spectrum
  • Result
introduction
Introduction

Our aim is to seethe influence of plasma on :

(1) Jean’s length and sound speed

(2) Density perturbation equation

(3) Power spectrum

plasma effect
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

plasma effect1
Plasma Effect
  • Debye shielding
  • Landau damping → Energy exchange between

particles and wave

  • Finite temperature

→Residual electric field

evolution of baryon perturbation
Evolution of baryon perturbation
  • Modified baryon perturbation equation :

where , ,

term is the contribution of residual E. field

evolution of baryon perturbation1
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

evolution of baryon perturbation2
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 ,

evolution of baryon perturbation3
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

evolution of baryon perturbation4
Evolution of baryon perturbation
  • Solving the equation (1)

(f) Two kinds of solutions

matter power spectrum
Matter power spectrum
  • Modified power spectrum

:Transfer function

:Growth function

:Modified Growth function