Temperature distribution of neutrino background radiation

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SUMMARY

The discussion centers on the Cosmic Neutrino Background (CνB) and its energy distribution, questioning whether it follows the Boltzmann distribution. Participants highlight that during the initial 2 seconds of equilibrium with matter, neutrinos may have interacted sufficiently to equalize their energy. A back-of-envelope calculation suggests that cosmic neutrinos travel at approximately 0.09c, contrasting sharply with modern neutrinos from solar events and supernovas, which approach the speed of light. The conversation concludes with an acknowledgment of the reduced interaction rates of contemporary neutrinos.

PREREQUISITES
  • Understanding of Cosmic Neutrino Background (CνB) and its significance in cosmology
  • Familiarity with the Boltzmann distribution and its applications in statistical mechanics
  • Basic knowledge of neutrino physics, including types and sources of neutrinos
  • Concept of relativistic speeds and their implications in particle physics
NEXT STEPS
  • Research the implications of the Boltzmann distribution in particle physics
  • Study the properties and behavior of neutrinos, focusing on their interaction rates
  • Explore the differences between cosmic neutrinos and those from astrophysical events
  • Investigate the role of neutrinos in the early universe and their impact on cosmic evolution
USEFUL FOR

Astronomers, physicists, and cosmologists interested in the properties of neutrinos and their role in the universe's evolution will benefit from this discussion.

Amir Livne
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Hello.

I wonder - is the CνB energy curve expected to follow the Boltzmann distribution?
In the 2 seconds neutrinos were in equilibrium with matter, did they bounce off enough to even out the energy?

I'm asking because a back-of-envelope computation gives cosmic neutrino speeds of ~0.09c, whereas neutrinos from solar events, geoneutrinos, supernovas etc. travel so close to c we can't distinguish them.

So is there a clear distinction, CνB radiation is slow, and modern neutrinos are fast?
 
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Don't you need to know the rest mass of the neutrino to solve for its velocity?
 
Amir Livne said:
Hello.

I wonder - is the CνB energy curve expected to follow the Boltzmann distribution?
In the 2 seconds neutrinos were in equilibrium with matter, did they bounce off enough to even out the energy?

I'm asking because a back-of-envelope computation gives cosmic neutrino speeds of ~0.09c, whereas neutrinos from solar events, geoneutrinos, supernovas etc. travel so close to c we can't distinguish them.

So is there a clear distinction, CνB radiation is slow, and modern neutrinos are fast?

You're probably right. Today neutrinos can go a long time without interacting with anything.
 

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