How Does Statistical Physics Influence Astrophysics and Cosmology?

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SUMMARY

This discussion centers on the intersection of statistical physics and its applications in astrophysics and cosmology. The participant seeks guidance on incorporating their interests in these fields into a university project. Key references include papers on crumpled spacetime and crackling noise, which can be linked to astrophysical phenomena. The conversation highlights the relevance of concepts such as self-organized criticality and quantum gravity in understanding complex systems within the universe.

PREREQUISITES
  • Statistical Physics principles
  • General Relativity concepts
  • Understanding of crackling noise and avalanches
  • Familiarity with quantum gravity theories
NEXT STEPS
  • Explore the concept of Self-organized criticality in astrophysics
  • Research the Brouwer fixed point theorem and its applications
  • Investigate the role of crackling noise in astrophysical systems
  • Study the implications of causal dynamical triangulation in quantum gravity
USEFUL FOR

Students and researchers in astrophysics, cosmology, and statistical physics looking to deepen their understanding of complex systems and their interrelations.

matt_crouch
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I am currently a 3rd year university student and the project i have been assigned is the the above title, and basically involves looking at statistal physics and its applications. My interests are all in astrophysics and cosmology i was wondering if there was any place for my interests in this project if anyone could point me in the right direction it would be much appreciated. I understand the place of statistical physics in quantum mechanics i just need some pointing in the right direction so i can make this project more interesting for me
 
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General relativity is similar to crumpled paper, as in it is crumpled spacetime, so you could look at that, I suppose. If not, there's http://www.wired.com/wiredscience/2011/08/crumpled-paper-physics/"
 
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The only thing GR has to do with crumpled paper is that when you start on a GR problem, by the time you finish you usually end up surrounded by piles of crumpled paper.
 
You could discuss crackling noise, I guess: http://www.nature.com/nature/journal/v410/n6825/full/410242a0.html

That paper is a review article of systems which exhibit crackling noise. It mentions crumbling paper as an example, but doesn't really talk much about paper itself. However, crackling noise occurs in lots of systems (as the paper above explains), so you might be able to find some example of it in an astrophysical system, or something related. Another name crackling noise goes by is "avalanches". A quick search turned up the book Self-organized criticality in astrophysics: The statistics of nonlinear processes in the universe. You might be able to make a connection there.
 
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I'm not aware of the connection to statistical physics, but you may find interesting the application of the Brouwer fixed point theorem to crumpled paper:
http://www.math.hmc.edu/funfacts/ffiles/20002.7.shtml
 

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