Where's the LOVE for statistical mechanics

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SUMMARY

The discussion centers on the perceived lack of interest and relevance of statistical mechanics, particularly non-equilibrium statistical mechanics, in the broader physics community. Participants highlight that statistical mechanics is often underrepresented in academic curricula, leading to limited knowledge and engagement among physicists. The conversation emphasizes the importance of statistical physics concepts, such as entropy and the behavior of inhomogeneous systems, which are crucial for understanding non-equilibrium thermodynamics. Key references include works by Grandy and Lebon et al., which explore the complexities of non-equilibrium systems.

PREREQUISITES
  • Understanding of basic statistical mechanics concepts
  • Familiarity with thermodynamics principles
  • Knowledge of equilibrium vs. non-equilibrium systems
  • Awareness of entropy and its implications in physics
NEXT STEPS
  • Research the Matsubara formalism in statistical physics
  • Explore the principles of non-equilibrium thermodynamics
  • Study the applications of statistical physics in solid state physics
  • Investigate the relationship between statistical mechanics and quantum field theory
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Physicists, researchers in statistical mechanics, and students interested in advanced thermodynamics and its applications in various fields of physics.

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I see a lot of talk about QM, relativity, particle physics, classical mechanics, electrodynamics, etc. But I hardly see statistical mechanics (or pure thermodynamics, for that matter) related matters, beyond the pure basics, that is.

What's the reason for this? Is it perceived to be less interesting? Less relevant? Or is it simply a very specific niche, in the sense that it is not regarded as 'large'? Or is there something else?

The most rare of all seems to be non-equilibrium statistical mechanics. Given, there's not an encompassing theory yet, but a lot of interesting yet accessible work has been done on it, certainly at the level of a PF post.

My own guess: statistical mechanics doesn't seem to be an important part of the curriculum and hence nearly all physicists know no more than its basics, hence there's little to talk about, or if there's a post about it, it doesn't get a lot of attention since not a lot of people would know the answer.

This post is not as much as an attempt at propaganda as me just being curious for what the reason is (or is my perception wrong?).
 
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When one speaks of fermions and bosons in a QM post, they are invoking concepts from Statistical Physics. All Solid State Physics is, in fact, applied Statistical Physics. Also, modern Statistical Physics uses the same methods as Quantum Field Theory (Feynman diagrams). See Matsubara formalism, for example.
 
I'm talking about statistical physics in its own right though.
 
I'm talking about uses of Statistical Physics masked in other disciplines and posted in posts that do not contain the term 'statistical' explicitly in them.
 
mr. vodka (the O.P.'er) said:
I'm talking about statistical physics in its own right though.

Yep.

Dickfore (the 1st replier) said:
I'm talking about uses of Statistical Physics masked in other disciplines and posted in posts that do not contain the term 'statistical' explicitly in them.

You either talk about what the O.P. talks about, or your derail the thread. Your move.

The following from the O.P. appears to be the most interesting of all:

mr. vodka said:
The most rare of all seems to be non-equilibrium statistical mechanics. Given, there's not an encompassing theory yet, but a lot of interesting yet accessible work has been done on it, certainly at the level of a PF post.

This is clearly closer to what Mr. Vodka is trying to get at.

By "encompassing theory" he possibly might be thinking along the lines of such questions as, "Why is there not more effort in developing an encompassing theory out of which a subset of physics emerges, including Maxwell-Boltzmann, Bose-Einstein, and Fermi-Dirac statistics?"

Consider the following passage from the Wikipedia article on non-equilibrium thermodynamics (http://en.wikipedia.org/wiki/Non-equilibrium_thermodynamics):

The thermodynamic study of non-equilibrium systems requires more general concepts than are dealt with by equilibrium thermodynamics. One fundamental difference between equilibrium thermodynamics and non-equilibrium thermodynamics lies in the behaviour of inhomogeneous systems, which require for their study knowledge of rates of reaction which are not considered in equilibrium thermodynamics of homogeneous systems. This is discussed below. Another fundamental difference is the difficulty in defining entropy in macroscopic terms for systems not in thermodynamic equilibrium.[2][3]

2. ^ a b c Grandy, W.T., Jr (2008). Entropy and the Time Evolution of Macroscopic Systems. Oxford University Press. ISBN 978-0-19-954617-6.
3. ^ a b c Lebon, G., Jou, D., Casas-Vázquez, J. (2008). Understanding Non-equilibrium Thermodynamics: Foundations, Applications, Frontiers, Springer-Verlag, Berlin, e-ISBN 978-3-540-74252-4.

My answer to the O.P.'s question is that going deeper into statistical mechanics leads to specialized areas of research within specialized areas of research with no obvious category of application in its own right, especially when trying to apply it to problems in other areas of research. Not to mention, most people don't really like to have more definitions and treatments of a subject like "entropy" than they would rather deal with.
 

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