What is the definition of adiabatic CMb spectrum in simple inflationary models?

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    Adiabatic Cmb Spectrum
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Discussion Overview

The discussion centers on the definition of the adiabatic Cosmic Microwave Background (CMB) spectrum in the context of simple inflationary models. Participants explore the implications of adiabatic density perturbations and how they relate to cosmological theories.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant requests a clear definition of the adiabatic CMB spectrum and its relevance to simple inflationary models.
  • Another participant points out that the term "adiabatic" is typically used in relation to density perturbations, suggesting that these perturbations are uniform across all components of the universe.
  • A later reply introduces the concept of isocurvature fluctuations as an alternative to adiabatic fluctuations, indicating a broader context for the discussion.
  • Several links to external resources are provided for further reading on related topics, including primordial fluctuations and density perturbations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the definition of the adiabatic CMB spectrum, and multiple perspectives on its implications for inflationary models are presented.

Contextual Notes

Some participants reference external sources for definitions and further exploration, indicating a reliance on existing literature for clarity. There is an acknowledgment of the complexity surrounding the definitions and implications of adiabatic versus isocurvature fluctuations.

skydivephil
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Can someone give a clear definition of what we mean when we say the CMb spectrum is adiabatic and what it means for simple infaltionary models?
 
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Thanks for that but I don't see cosmology or CMb research listed as one of those concepts.
 


It is usually used in the context of the density perturbations. In particular the density perturbations will be the same for all constituent components of the Universe:

[tex]\frac{\delta \rho_a}{(\rho_a + \bar{\rho})}[/tex] will be the same for all components (enumerated by 'a') where [tex]\bar{\rho}[/tex] is our mean background value. Have a quick glance at the http://en.wikipedia.org/wiki/Primordial_fluctuations" page.
 
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Thanks
 


The alternatives to adiabatic are usually along the lines of 'isocurvature' fluctuations etc. Just in case you were interested here are a few interesting links:

http://arxiv.org/abs/astro-ph/9610219"

http://arxiv.org/abs/0907.0261"

http://arxiv.org/abs/0803.0547" (This has a clearer discussion than the 7yr or 3yr papers in my opinion. ; It's also well referenced so you can seek out other papers of interest etc.)

http://arxiv.org/abs/0812.3500"
 
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