Where's the LOVE for statistical mechanics

In summary: It can be like trying to figure out which shear moduli to use for a viscoelastic material for a given set of equations.In summary, there is a lack of attention and emphasis on statistical mechanics and non-equilibrium statistical mechanics due to its specialization and lack of clear application in other areas of research. This, coupled with the difficulty in defining and understanding entropy in these systems, may contribute to its limited discussion and study in the field of physics.
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nonequilibrium
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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.
 
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I'm talking about statistical physics in its own right though.
 
  • #4
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.
 
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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.
 

FAQ: Where's the LOVE for statistical mechanics

What is statistical mechanics?

Statistical mechanics is a branch of physics that studies the behavior of large systems of particles using statistical methods. It provides a framework to understand the relationship between the microscopic properties of particles and the macroscopic properties of matter.

Why is statistical mechanics important?

Statistical mechanics is important because it helps us understand and predict the behavior of complex systems, such as gases, liquids, and solids. It also plays a crucial role in various fields, including thermodynamics, chemistry, and material science.

How does statistical mechanics relate to thermodynamics?

Statistical mechanics and thermodynamics are closely related. Thermodynamics deals with the macroscopic properties of matter, while statistical mechanics explains these properties in terms of the microscopic behavior of particles. In other words, statistical mechanics provides a more detailed and fundamental understanding of thermodynamics.

What are some applications of statistical mechanics?

Statistical mechanics has numerous applications in different fields, such as predicting the properties of materials, understanding phase transitions, studying the behavior of gases and fluids, and even in computational biology to model biological systems.

Are there any real-life examples that can be explained using statistical mechanics?

Yes, there are many real-life examples that can be explained using statistical mechanics. For instance, the behavior of gases, such as air and water vapor, can be described using the ideal gas law, which is based on statistical mechanics principles. Additionally, phase transitions, such as the freezing of water or the boiling of a liquid, can also be understood using statistical mechanics.

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