Seeking a Rigorous Treatment of Statistical Thermodynamics

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SUMMARY

The discussion centers on the search for a mathematically rigorous treatment of statistical thermodynamics, specifically beyond the offerings of Bowley and Sanchez's textbook. Participants recommend several resources, notably the works of Mehran Kardar, including his lecture notes available through MIT's OpenCourseWare. The discussion highlights Kardar's effective connection between information entropy and probability distributions as a key aspect of his approach.

PREREQUISITES
  • Understanding of statistical thermodynamics concepts
  • Familiarity with mathematical rigor in physical sciences
  • Knowledge of information theory, particularly entropy
  • Basic proficiency in accessing and utilizing academic resources
NEXT STEPS
  • Explore Mehran Kardar's "Statistical Physics" for advanced insights
  • Review Kardar's MIT OpenCourseWare lecture notes on statistical thermodynamics
  • Study "Statistical Mechanics: A Set of Lectures" by Richard P. Feynman
  • Investigate the relationship between information entropy and statistical mechanics
USEFUL FOR

Students and researchers in physics, particularly those focusing on statistical thermodynamics and mathematical physics, will benefit from this discussion.

jojo12345
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Hi all,

I'm looking for a rigorous (in a mathematical sense) treatment of statistical thermodynamics. I'm at the tail end of a class on stat thermo that used the book by Bowley and Sanchez. This book is not what I'm looking for. Does anyone have any suggestions?
 
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Kardar's books are superb. His notes are also available at http://ocw.mit.edu/OcwWeb/Physics/8-333Fall-2007/CourseHome/index.htm
 
Last edited by a moderator:
Thanks for the suggestions. The first of the four that have been suggested that I took a look at was Kardar (the ocw lecture notes, to be precise). I really like the connection he makes early on between information entropy and estimating probability distributions.
 

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