Criticisms of Jaynes' approach to Statistical Mechanics

Click For Summary
SUMMARY

Jaynes' paper “Information Theory and Statistical Mechanics” posits that statistical mechanics is fundamentally an inference theory of many-body mechanical systems. Critiques of this approach focus on its implications for concepts like Maxwell's Demon, which challenges the information-theoretical foundation of entropy. Key references for understanding these critiques include works from core.ac.uk, arxiv.org, and jstor.org. The discussion highlights the necessity of quantum mechanics in addressing Maxwell's Demon, particularly through Szilard's application of information theory to entropy.

PREREQUISITES
  • Understanding of Jaynes' information-theoretic approach to statistical mechanics
  • Familiarity with Maxwell's Demon and its implications in thermodynamics
  • Knowledge of quantum mechanics and its role in statistical physics
  • Awareness of current debates in the field of statistical mechanics
NEXT STEPS
  • Research the implications of Maxwell's Demon on information theory in statistical mechanics
  • Explore Szilard's contributions to the information-theoretical approach to entropy
  • Examine critiques of Jaynes' approach in the context of quantum mechanics
  • Review the current state of debate on statistical mechanics through academic papers on arxiv.org
USEFUL FOR

Researchers, physicists, and students interested in the intersections of information theory, statistical mechanics, and quantum mechanics will benefit from this discussion.

DarMM
Science Advisor
Gold Member
Messages
2,369
Reaction score
1,408
In his well known paper “Information Theory and Statistical Mechanics” Jaynes attempted to formulated statistical mechanics as "nothing more" than the inference theory of many body mechanical systems. I am looking for critiques of this approach. Also of use would be summaries or reviews of the "current state of debate".
 
Physics news on Phys.org
I have not read it. But that "nothing more" part is kind of worrying. How does he preclude Maxwell's Demon?

If I understand correctly, the usual way to preclude MD comes down to quantum mechanics. MD has to make observations.
 
DarMM said:
Summary: Seeking references for criticisms of Jaynes's information theoretic approach to Statistical Mechanics.

In his well known paper “Information Theory and Statistical Mechanics” Jaynes attempted to formulated statistical mechanics as "nothing more" than the inference theory of many body mechanical systems. I am looking for critiques of this approach. Also of use would be summaries or reviews of the "current state of debate".

Here are a few; I can't vouch for how valid they are:

https://core.ac.uk/download/pdf/82621859.pdfhttps://arxiv.org/pdf/1103.4003.pdfhttps://www.jstor.org/stable/20116117?seq=1#metadata_info_tab_contents
 
  • Like
Likes   Reactions: DarMM
DEvens said:
I have not read it. But that "nothing more" part is kind of worrying. How does he preclude Maxwell's Demon?

If I understand correctly, the usual way to preclude MD comes down to quantum mechanics. MD has to make observations.
Maxwell's demon is "driven out" by Szilard and precisely by applying the information theoretical approach to the notion of entropy.

https://link.springer.com/article/10.1007/BF01341281
A quantum version has been realized recently:

https://arxiv.org/abs/1702.05161
If you look for counterarguments against the information-theoretical foundation of statistical physics, Maxwell's demon will give you a hard time!
 
  • Like
Likes   Reactions: DarMM

Similar threads

  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 34 ·
2
Replies
34
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 31 ·
2
Replies
31
Views
3K
  • · Replies 21 ·
Replies
21
Views
6K
Replies
5
Views
4K
  • · Replies 133 ·
5
Replies
133
Views
10K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K