How can thermal fluctuations decrease entropy?

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SUMMARY

Thermal fluctuations can lead to temporary decreases in entropy within a closed system, as outlined by the fluctuation theorem. While the laws of thermodynamics dictate that entropy cannot spontaneously decrease, the probability of microscopic fluctuations allows for small changes in air pressure to occur. These fluctuations, although rare on a macroscopic scale, are significant in understanding the dynamics of particle interactions and the reversibility of processes. The discussion emphasizes that while large entropy decreases are improbable, small fluctuations are commonplace.

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  • Understanding of thermodynamics and entropy concepts
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  • Knowledge of particle dynamics and collision interactions
  • Basic grasp of statistical mechanics
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That the entropy of a closed system cannot spontaneously decrease is a statement of probability rather than about dynamics.
The laws governing how particles collide and interact are reversible in time, so all processes that can happen, can also happen in reverse.
However...
The relative probability of some processes happening in reverse are so small as to be unprecedented in the history of the universe, say, like air spontaneously rushing to one side of a room, leaving the other side in near vacuum.
That said, microscopic changes in air pressure can and do happen.
These thermodynamic fluctuations are extremely small relative to the macroscopic properties of the system.
Though the probability of a large (enough to see) fluctuation is small, the probability of a small fluctuation is large.
 

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