Where's the LOVE for statistical mechanics

Click For Summary

Discussion Overview

The discussion centers around the perceived lack of interest and engagement with statistical mechanics and non-equilibrium statistical mechanics within the physics community. Participants explore reasons for this phenomenon, questioning its relevance, curriculum presence, and the nature of its applications across various disciplines.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant notes a lack of discussion on statistical mechanics compared to other areas of physics, suggesting it may be perceived as less interesting or relevant.
  • Another participant argues that concepts from statistical physics are indeed present in discussions about fermions and bosons, as well as in solid state physics.
  • A participant emphasizes the importance of discussing statistical physics as a distinct field rather than only in relation to other disciplines.
  • There is a reiteration of the idea that non-equilibrium statistical mechanics is particularly underrepresented, with a call for more exploration of its concepts.
  • One participant questions why there is not more effort to develop a comprehensive theory that encompasses various statistical models, such as Maxwell-Boltzmann and Fermi-Dirac statistics.
  • A later reply discusses the complexities of non-equilibrium thermodynamics, highlighting the challenges in defining entropy and studying inhomogeneous systems.
  • Another participant suggests that delving deeper into statistical mechanics leads to specialized research areas that may not have clear applications, which could deter interest.

Areas of Agreement / Disagreement

Participants express differing views on the relevance and interest in statistical mechanics, with some arguing for its importance while others suggest it is overshadowed by other fields. There is no consensus on the reasons for its perceived lack of attention.

Contextual Notes

Participants mention limitations in the curriculum regarding statistical mechanics, and the discussion reflects a variety of perspectives on its applications and theoretical development without resolving these issues.

nonequilibrium
Messages
1,412
Reaction score
2
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?).
 
Last edited:
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 13 ·
Replies
13
Views
5K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 39 ·
2
Replies
39
Views
10K
  • · Replies 10 ·
Replies
10
Views
5K