Thermal equilibrium versus pressures

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Discussion Overview

The discussion revolves around the possibility of a closed system in thermal equilibrium having two regions with different pressures, particularly considering their historical states of uniform pressure and differing temperatures.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions whether the system must have been in thermal equilibrium with a single region of uniform pressure before the current state.
  • Another participant asserts that atomic theory and thermodynamics imply that random fluctuations in pressure are inevitable, even in a closed system at thermal equilibrium.
  • It is noted that while two regions may have equal pressure at one moment, they are likely to experience different pressures at subsequent moments due to atomic motion.
  • A clarification is made that the regions in question are assumed to have had different temperatures in the past.

Areas of Agreement / Disagreement

Participants express differing views on the implications of thermal equilibrium and pressure fluctuations, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

There are limitations regarding the assumptions about the historical states of pressure and temperature, as well as the implications of atomic motion on pressure fluctuations in large systems.

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Is it possible for a closed system in thermal equilibrium possesses two regions with different pressures supposing such regions had the same pressure in the past?
 
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It's required by atomic theory and thermodynamics. "Pressure" is just the average force per unit area from the bombardment of vast numbers of atoms; thus, random fluctuations are inevitable. Two regions of equal pressure at one instant can hardly avoid having different pressures at the next instant, due to atomic motion. The larger the system, however, the smaller the deviations from the average value. On the human scale, these deviations are essentially unmeasurable.
 
Does the question require that the system was in thermal equilibrium when it consisted of a single region of uniform pressure?
 
No, it is supposed they had different temperatures in the past.
 

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