Magnetic fields are exceptions to the second law of thermodynamics?

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SUMMARY

The discussion centers on the implications of magnetic fields on the second law of thermodynamics, specifically in the context of perpendicular electric and magnetic fields. The participant references Onsager's reciprocal relations, which indicate that magnetic fields disrupt time symmetry and thus challenge traditional interpretations of thermodynamic laws. However, it is concluded that Boltzmann's H theorem, which underpins the second law, remains valid in the presence of electromagnetic fields due to the unitarity of the S-matrix. This suggests that the second law of thermodynamics is not fundamentally violated by magnetic fields.

PREREQUISITES
  • Understanding of thermodynamics principles, particularly the second law.
  • Familiarity with Onsager's reciprocal relations and their implications.
  • Knowledge of Boltzmann's H theorem and its relevance to statistical mechanics.
  • Basic concepts of electromagnetic fields and their interactions with particles.
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  • Research the implications of Onsager's reciprocal relations in thermodynamics.
  • Study Boltzmann's H theorem in detail and its applications in various physical contexts.
  • Explore the role of the S-matrix in quantum mechanics and its relation to thermodynamic laws.
  • Investigate current research on the effects of magnetic fields on thermodynamic systems.
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Physicists, thermodynamics researchers, and students interested in the intersection of thermodynamics and electromagnetism, particularly those exploring advanced concepts in statistical mechanics.

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Einstein famously said “{Thermodynamics} is the only physical theory of universal content, which I am convinced, that within the framework of applicability of its basic concepts will never be overthrown.”

I don't think any of us want to argue with Einstein, but it's worth noting the "within the framework of applicability of its basic concepts" part of this quote. Specifically I am wondering about in the presence of perpendicular electric and magnetic fields, because at the microscopic level the motion of particles is not time symmetric and Onsager specified that magnetic fields are excluded from reciprocal relations: "the principle of dynamical reversibility does not apply when (external) magnetic fields or Coriolis forces are present", in which case "the reciprocal relations break down".[1] (https://en.wikipedia.org/wiki/Onsager_reciprocal_relations)

This would seem like a big deal if the second law of thermodynamics does not apply in this setting of perpendicular electric and magnetic fields. Is there a rational explanation for something I have gotten wrong here, or is there a reason why this hasn't been pursued more by researchers?
 
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The 2nd law of thermodynamics or rather Boltzmann's H theorem does not rely on time-reversal symmetry of the fundamental physical laws but only need the unitarity of the S-matrix. Thus it also holds at presence of electromagnetic fields.
 
vanhees71 said:
The 2nd law of thermodynamics or rather Boltzmann's H theorem does not rely on time-reversal symmetry of the fundamental physical laws but only need the unitarity of the S-matrix. Thus it also holds at presence of electromagnetic fields.
Thanks, it seems like in this other post you had replied with a more detailed reply on this topic: https://www.physicsforums.com/threads/unitarity-and-thermodynamics.860178/

Let me know if you happen to know of other sources for this topic worth referencing.
 

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